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<span>Subdivisions</span> </div> </a> <ul id="toc-Subdivisions-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Alternative_units" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Alternative_units"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Alternative units</span> </div> </a> <ul id="toc-Alternative_units-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Degree (angle)</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 79 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-79" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">79 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Graad_(meetkunde)" title="Graad (meetkunde) – Afrikaans" lang="af" hreflang="af" data-title="Graad (meetkunde)" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%B1%D8%AC%D8%A9_(%D8%B2%D8%A7%D9%88%D9%8A%D8%A9)" title="درجة (زاوية) – Arabic" lang="ar" hreflang="ar" data-title="درجة (زاوية)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Grau_sesaxesimal" title="Grau sesaxesimal – Asturian" lang="ast" hreflang="ast" data-title="Grau sesaxesimal" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A1%E0%A6%BF%E0%A6%97%E0%A7%8D%E0%A6%B0%E0%A6%BF_(%E0%A6%95%E0%A7%8B%E0%A6%A3)" title="ডিগ্রি (কোণ) – Bangla" lang="bn" hreflang="bn" data-title="ডিগ্রি (কোণ)" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%92%D1%83%D0%B3%D0%BB%D0%B0%D0%B2%D1%8B_%D0%B3%D1%80%D0%B0%D0%B4%D1%83%D1%81" title="Вуглавы градус – Belarusian" lang="be" hreflang="be" data-title="Вуглавы градус" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A1%E0%A4%BF%E0%A4%97%E0%A5%8D%E0%A4%B0%E0%A5%80_(%E0%A4%95%E0%A5%8B%E0%A4%A3)" title="डिग्री (कोण) – Bhojpuri" lang="bh" hreflang="bh" data-title="डिग्री (कोण)" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D1%8A%D0%B3%D1%8A%D0%BB)" title="Градус (ъгъл) – Bulgarian" lang="bg" hreflang="bg" data-title="Градус (ъгъл)" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Stepen_(ugao)" title="Stepen (ugao) – Bosnian" lang="bs" hreflang="bs" data-title="Stepen (ugao)" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Grau_sexagesimal" title="Grau sexagesimal – Catalan" lang="ca" hreflang="ca" data-title="Grau sexagesimal" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8)" title="Градус (геометри) – Chuvash" lang="cv" hreflang="cv" data-title="Градус (геометри)" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Degri" title="Degri – Cebuano" lang="ceb" hreflang="ceb" data-title="Degri" data-language-autonym="Cebuano" data-language-local-name="Cebuano" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Stupe%C5%88_(%C3%BAhel)" title="Stupeň (úhel) – Czech" lang="cs" hreflang="cs" data-title="Stupeň (úhel)" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Grad_(vinkelm%C3%A5l)" title="Grad (vinkelmål) – Danish" lang="da" hreflang="da" data-title="Grad (vinkelmål)" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Grad_(Winkel)" title="Grad (Winkel) – German" lang="de" hreflang="de" data-title="Grad (Winkel)" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kraad_(geomeetria)" title="Kraad (geomeetria) – Estonian" lang="et" hreflang="et" data-title="Kraad (geomeetria)" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%BF%CE%AF%CF%81%CE%B1_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Μοίρα (γεωμετρία) – Greek" lang="el" hreflang="el" data-title="Μοίρα (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Grado_sexagesimal" title="Grado sexagesimal – Spanish" lang="es" hreflang="es" data-title="Grado sexagesimal" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Grado_(angulo)" title="Grado (angulo) – Esperanto" lang="eo" hreflang="eo" data-title="Grado (angulo)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Gradu_sexagesimal" title="Gradu sexagesimal – Basque" lang="eu" hreflang="eu" data-title="Gradu sexagesimal" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%B1%D8%AC%D9%87_(%D8%B2%D8%A7%D9%88%DB%8C%D9%87)" title="درجه (زاویه) – Persian" lang="fa" hreflang="fa" data-title="درجه (زاویه)" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Degr%C3%A9_(angle)" title="Degré (angle) – French" lang="fr" hreflang="fr" data-title="Degré (angle)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/C%C3%A9im_(matamaitic)" title="Céim (matamaitic) – Irish" lang="ga" hreflang="ga" data-title="Céim (matamaitic)" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Grao_sesaxesimal" title="Grao sesaxesimal – Galician" lang="gl" hreflang="gl" data-title="Grao sesaxesimal" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92%E5%BA%A6)" title="度 (角度) – Gan" lang="gan" hreflang="gan" data-title="度 (角度)" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8F%84_(%EA%B0%81%EB%8F%84)" title="도 (각도) – Korean" lang="ko" hreflang="ko" data-title="도 (각도)" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Digiri_(kwana)" title="Digiri (kwana) – Hausa" lang="ha" hreflang="ha" data-title="Digiri (kwana)" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%BD%D5%BF%D5%AB%D5%B3%D5%A1%D5%B6_(%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6)" title="Աստիճան (երկրաչափություն) – Armenian" lang="hy" hreflang="hy" data-title="Աստիճան (երկրաչափություն)" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Stupanj_(kut)" title="Stupanj (kut) – Croatian" lang="hr" hreflang="hr" data-title="Stupanj (kut)" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Grado_(anggulo)" title="Grado (anggulo) – Iloko" lang="ilo" hreflang="ilo" data-title="Grado (anggulo)" data-language-autonym="Ilokano" data-language-local-name="Iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Derajat_(satuan_sudut)" title="Derajat (satuan sudut) – Indonesian" lang="id" hreflang="id" data-title="Derajat (satuan sudut)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Grado_(angulo)" title="Grado (angulo) – Interlingua" lang="ia" hreflang="ia" data-title="Grado (angulo)" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Gr%C3%A1%C3%B0a_(horn)" title="Gráða (horn) – Icelandic" lang="is" hreflang="is" data-title="Gráða (horn)" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Grado_d%27arco" title="Grado d'arco – Italian" lang="it" hreflang="it" data-title="Grado d'arco" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%9C%D7%94_(%D7%96%D7%95%D7%95%D7%99%D7%AA)" title="מעלה (זווית) – Hebrew" lang="he" hreflang="he" data-title="מעלה (זווית)" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%92%E1%83%A0%E1%83%90%E1%83%93%E1%83%A3%E1%83%A1%E1%83%98_(%E1%83%92%E1%83%94%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90)" title="გრადუსი (გეომეტრია) – Georgian" lang="ka" hreflang="ka" data-title="გრადუსი (გეომეტრია)" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Nyuzi" title="Nyuzi – Swahili" lang="sw" hreflang="sw" data-title="Nyuzi" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81" title="Градус – Kyrgyz" lang="ky" hreflang="ky" data-title="Градус" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Gradus_anguli" title="Gradus anguli – Latin" lang="la" hreflang="la" data-title="Gradus anguli" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Gr%C4%81ds_(le%C5%86%C4%B7is)" title="Grāds (leņķis) – Latvian" lang="lv" hreflang="lv" data-title="Grāds (leņķis)" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Grad_(W%C3%A9nkel)" title="Grad (Wénkel) – Luxembourgish" lang="lb" hreflang="lb" data-title="Grad (Wénkel)" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Laipsnis_(kampas)" title="Laipsnis (kampas) – Lithuanian" lang="lt" hreflang="lt" data-title="Laipsnis (kampas)" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fok_(sz%C3%B6g)" title="Fok (szög) – Hungarian" lang="hu" hreflang="hu" data-title="Fok (szög)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D0%BF%D0%B5%D0%BD_(%D0%B0%D0%B3%D0%BE%D0%BB)" title="Степен (агол) – Macedonian" lang="mk" hreflang="mk" data-title="Степен (агол)" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A1%E0%B4%BF%E0%B4%97%E0%B5%8D%E0%B4%B0%E0%B4%BF_(%E0%B4%95%E0%B5%8B%E0%B5%BA)" title="ഡിഗ്രി (കോൺ) – Malayalam" lang="ml" hreflang="ml" data-title="ഡിഗ്രി (കോൺ)" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Darjah_(sudut)" title="Darjah (sudut) – Malay" lang="ms" hreflang="ms" data-title="Darjah (sudut)" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Booggraad" title="Booggraad – Dutch" lang="nl" hreflang="nl" data-title="Booggraad" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92%E5%BA%A6)" title="度 (角度) – Japanese" lang="ja" hreflang="ja" data-title="度 (角度)" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Winkelgraad" title="Winkelgraad – Northern Frisian" lang="frr" hreflang="frr" data-title="Winkelgraad" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Grad_(vinkel)" title="Grad (vinkel) – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Grad (vinkel)" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Vinkeleininga_grad" title="Vinkeleininga grad – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Vinkeleininga grad" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Daraja_(burchak)" title="Daraja (burchak) – Uzbek" lang="uz" hreflang="uz" data-title="Daraja (burchak)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A1%E0%A8%BF%E0%A8%97%E0%A8%B0%E0%A9%80_(%E0%A8%95%E0%A9%8B%E0%A8%A3)" title="ਡਿਗਰੀ (ਕੋਣ) – Punjabi" lang="pa" hreflang="pa" data-title="ਡਿਗਰੀ (ਕੋਣ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Digrii" title="Digrii – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Digrii" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Grad_(Winkel)" title="Grad (Winkel) – Low German" lang="nds" hreflang="nds" data-title="Grad (Winkel)" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Stopie%C5%84_(k%C4%85t)" title="Stopień (kąt) – Polish" lang="pl" hreflang="pl" data-title="Stopień (kąt)" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Grau_(geometria)" title="Grau (geometria) – Portuguese" lang="pt" hreflang="pt" data-title="Grau (geometria)" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Grad_sexagesimal" title="Grad sexagesimal – Romanian" lang="ro" hreflang="ro" data-title="Grad sexagesimal" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Градус (геометрия) – Russian" lang="ru" hreflang="ru" data-title="Градус (геометрия)" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Degree_(angle)" title="Degree (angle) – Simple English" lang="en-simple" hreflang="en-simple" data-title="Degree (angle)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Stupe%C5%88_(uhol)" title="Stupeň (uhol) – Slovak" lang="sk" hreflang="sk" data-title="Stupeň (uhol)" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kotna_stopinja" title="Kotna stopinja – Slovenian" lang="sl" hreflang="sl" data-title="Kotna stopinja" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%BE%D9%84%DB%95_(%DA%AF%DB%86%D8%B4%DB%95)" title="پلە (گۆشە) – Central Kurdish" lang="ckb" hreflang="ckb" data-title="پلە (گۆشە)" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D0%BF%D0%B5%D0%BD_(%D1%83%D0%B3%D0%B0%D0%BE)" title="Степен (угао) – Serbian" lang="sr" hreflang="sr" data-title="Степен (угао)" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Stepen_(ugao)" title="Stepen (ugao) – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Stepen (ugao)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Aste" title="Aste – Finnish" lang="fi" hreflang="fi" data-title="Aste" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Grad_(vinkelenhet)" title="Grad (vinkelenhet) – Swedish" lang="sv" hreflang="sv" data-title="Grad (vinkelenhet)" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BE%E0%AE%95%E0%AF%88_(%E0%AE%85%E0%AE%B2%E0%AE%95%E0%AF%81)" title="பாகை (அலகு) – Tamil" lang="ta" hreflang="ta" data-title="பாகை (அலகு)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A1%E0%B0%BF%E0%B0%97%E0%B1%8D%E0%B0%B0%E0%B1%80_(%E0%B0%95%E0%B1%8B%E0%B0%A3%E0%B0%82)" title="డిగ్రీ (కోణం) – Telugu" lang="te" hreflang="te" data-title="డిగ్రీ (కోణం)" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AD%E0%B8%87%E0%B8%A8%E0%B8%B2_(%E0%B8%A1%E0%B8%B8%E0%B8%A1)" title="องศา (มุม) – Thai" lang="th" hreflang="th" data-title="องศา (มุม)" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%94%D0%B0%D1%80%D0%B0%D2%B7%D0%B0_(%D0%B7%D0%BE%D0%B2%D0%B8%D1%8F)" title="Дараҷа (зовия) – Tajik" lang="tg" hreflang="tg" data-title="Дараҷа (зовия)" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Derece_(birim)" title="Derece (birim) – Turkish" lang="tr" hreflang="tr" data-title="Derece (birim)" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F)" title="Градус (геометрія) – Ukrainian" lang="uk" hreflang="uk" data-title="Градус (геометрія)" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AF%D8%B1%D8%AC%DB%81_(%D8%B2%D8%A7%D9%88%DB%8C%DB%81)" title="درجہ (زاویہ) – Urdu" lang="ur" hreflang="ur" data-title="درجہ (زاویہ)" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99_(g%C3%B3c)" title="Độ (góc) – Vietnamese" lang="vi" hreflang="vi" data-title="Độ (góc)" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Grado_sexagesimal" title="Grado sexagesimal – Waray" lang="war" hreflang="war" data-title="Grado sexagesimal" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%BA%A6%EF%BC%88%E8%A7%92%EF%BC%89" title="度（角） – Wu" lang="wuu" hreflang="wuu" data-title="度（角）" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%92%D7%A8%D7%90%D7%93" title="גראד – Yiddish" lang="yi" hreflang="yi" data-title="גראד" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%A7%92%E5%BA%A6" title="角度 – Cantonese" lang="yue" hreflang="yue" data-title="角度" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92)" title="度 (角) – Chinese" lang="zh" hreflang="zh" data-title="度 (角)" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> 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id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Unit of plane angle where a full circle equals 360°</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">For other units of angular measurement, see <a href="/wiki/Angular_unit" class="mw-redirect" title="Angular unit">Angular unit</a>.</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox ib-unit"><tbody><tr><th colspan="2" class="infobox-above">Degree</th></tr><tr><td colspan="2" class="infobox-image notheme" style="background-color: #f8f9fa;"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Degree_diagram.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Degree_diagram.svg/220px-Degree_diagram.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Degree_diagram.svg/330px-Degree_diagram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Degree_diagram.svg/440px-Degree_diagram.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span><div class="infobox-caption">One degree (shown in red) and eighty nine degrees (shown in blue). The lined area is a <a href="/wiki/Right_angle" title="Right angle">right angle</a>.</div></td></tr><tr><th colspan="2" class="infobox-header">General information</th></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/System_of_units_of_measurement" title="System of units of measurement">Unit system</a></th><td class="infobox-data"><a href="/wiki/Non-SI_units_mentioned_in_the_SI" title="Non-SI units mentioned in the SI">Non-SI accepted unit</a></td></tr><tr><th scope="row" class="infobox-label">Unit of</th><td class="infobox-data"><a href="/wiki/Angle" title="Angle">Angle</a></td></tr><tr><th scope="row" class="infobox-label">Symbol</th><td class="infobox-data">°<sup id="cite_ref-HP48_UG_1-0" class="reference"><a href="#cite_note-HP48_UG-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-HP50g_UG_2-0" class="reference"><a href="#cite_note-HP50g_UG-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>, deg<sup id="cite_ref-HP-Prime_UG_3-0" class="reference"><a href="#cite_note-HP-Prime_UG-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></td></tr><tr><th colspan="2" class="infobox-header">Conversions </th></tr><tr class="nowrap"><td>1°<sup id="cite_ref-HP48_UG_1-0" class="reference"><a href="#cite_note-HP48_UG-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-HP50g_UG_2-0" class="reference"><a href="#cite_note-HP50g_UG-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> <i>in ...</i></td><td><i>... is equal to ...</i></td></tr><tr style="display:none"><th colspan="2"> </th></tr><tr><th scope="row" class="infobox-label"><span class="nowrap">   </span><a href="/wiki/Turn_(unit)" class="mw-redirect" title="Turn (unit)">turns</a></th><td class="infobox-data"><span class="nowrap">   </span><style data-mw-deduplicate="TemplateStyles:r1214402035">.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num{display:block;line-height:1em;margin:0.0em 0.1em;border-bottom:1px solid}.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0.1em 0.1em}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">360</span></span>⁠</span> turn</td></tr><tr><th scope="row" class="infobox-label"><span class="nowrap">   </span><a href="/wiki/Radian" title="Radian">radians</a></th><td class="infobox-data"><span class="nowrap">   </span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">180</span></span>⁠</span> rad ≈ 0.01745.. rad</td></tr><tr><th scope="row" class="infobox-label"><span class="nowrap">   </span><a href="/wiki/Milliradian" title="Milliradian">milliradians</a></th><td class="infobox-data"><span class="nowrap">   </span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">50·<span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">9</span></span>⁠</span> mrad ≈ 17.45.. mrad</td></tr><tr><th scope="row" class="infobox-label"><span class="nowrap">   </span><a href="/wiki/Gon_(unit)" class="mw-redirect" title="Gon (unit)">gons</a></th><td class="infobox-data"><span class="nowrap">   </span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">10</span><span class="sr-only">/</span><span class="den">9</span></span>⁠</span><sup>g</sup></td></tr></tbody></table><style data-mw-deduplicate="TemplateStyles:r1236303919">@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-has-images-with-white-backgrounds img{background:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-has-images-with-white-backgrounds img{background:white}}</style> <p>A <b>degree</b> (in full, a <b>degree of arc</b>, <b>arc degree</b>, or <b>arcdegree</b>), usually denoted by <b>°</b> (the <a href="/wiki/Degree_symbol" title="Degree symbol">degree symbol</a>), is a measurement of a <a href="/wiki/Plane_(mathematics)" title="Plane (mathematics)">plane</a> <a href="/wiki/Angle" title="Angle">angle</a> in which one <a href="/wiki/Turn_(geometry)" class="mw-redirect" title="Turn (geometry)">full rotation</a> is 360 degrees.<sup id="cite_ref-:1_4-0" class="reference"><a href="#cite_note-:1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>It is not an <a href="/wiki/SI_unit" class="mw-redirect" title="SI unit">SI unit</a>—the SI unit of angular measure is the <a href="/wiki/Radian" title="Radian">radian</a>—but it is mentioned in the <a href="/wiki/SI_Brochure" class="mw-redirect" title="SI Brochure">SI brochure</a> as an <a href="/wiki/Non-SI_units_mentioned_in_the_SI" title="Non-SI units mentioned in the SI">accepted unit</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Because a full rotation equals 2<span class="texhtml mvar" style="font-style:italic;">π</span> radians, one degree is equivalent to <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">180</span></span>⁠</span> radians. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="History">History</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=1" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Equilateral_chord_with_length_equal_to_radius.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Equilateral_chord_with_length_equal_to_radius.svg/220px-Equilateral_chord_with_length_equal_to_radius.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Equilateral_chord_with_length_equal_to_radius.svg/330px-Equilateral_chord_with_length_equal_to_radius.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Equilateral_chord_with_length_equal_to_radius.svg/440px-Equilateral_chord_with_length_equal_to_radius.svg.png 2x" data-file-width="900" data-file-height="900" /></a><figcaption>A circle with an equilateral <a href="/wiki/Chord_(geometry)" title="Chord (geometry)">chord</a> (red). One sixtieth of this arc is a degree. Six such chords complete the circle.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year. Ancient <a href="/wiki/Astronomers" class="mw-redirect" title="Astronomers">astronomers</a> noticed that the sun, which follows through the <a href="/wiki/Ecliptic" title="Ecliptic">ecliptic</a> path over the course of the year, seems to advance in its path by approximately one degree each day. Some ancient <a href="/wiki/Calendar" title="Calendar">calendars</a>, such as the <a href="/wiki/Iranian_calendar" class="mw-redirect" title="Iranian calendar">Persian calendar</a> and the <a href="/wiki/Babylonian_calendar" title="Babylonian calendar">Babylonian calendar</a>, used 360 days for a year. The use of a calendar with 360 days may be related to the use of <a href="/wiki/Sexagesimal" title="Sexagesimal">sexagesimal</a> numbers.<sup id="cite_ref-:1_4-1" class="reference"><a href="#cite_note-:1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>Another theory is that the Babylonians subdivided the circle using the angle of an <a href="/wiki/Equilateral_triangle" title="Equilateral triangle">equilateral triangle</a> as the basic unit, and further subdivided the latter into 60 parts following their <a href="/wiki/Sexagesimal" title="Sexagesimal">sexagesimal</a> numeric system.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/History_of_trigonometry" title="History of trigonometry">earliest trigonometry</a>, used by the <a href="/wiki/Babylonian_astronomy" title="Babylonian astronomy">Babylonian astronomers</a> and their <a href="/wiki/Greek_astronomy" class="mw-redirect" title="Greek astronomy">Greek</a> successors, was based on <a href="/wiki/Chord_(geometry)" title="Chord (geometry)">chords</a> of a circle. A chord of length equal to the radius made a natural base quantity. One sixtieth of this, using their standard <a href="/wiki/Sexagesimal" title="Sexagesimal">sexagesimal</a> divisions, was a degree. </p><p><a href="/wiki/Aristarchus_of_Samos" title="Aristarchus of Samos">Aristarchus of Samos</a> and <a href="/wiki/Hipparchus" title="Hipparchus">Hipparchus</a> seem to have been among the first <a href="/wiki/Greek_astronomy" class="mw-redirect" title="Greek astronomy">Greek scientists</a> to exploit Babylonian astronomical knowledge and techniques systematically.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Timocharis" title="Timocharis">Timocharis</a>, Aristarchus, <a href="/wiki/Aristillus" class="mw-redirect" title="Aristillus">Aristillus</a>, <a href="/wiki/Archimedes" title="Archimedes">Archimedes</a>, and Hipparchus were the first Greeks known to divide the circle in 360 degrees of 60 <a href="/wiki/Arc_minute" class="mw-redirect" title="Arc minute">arc minutes</a>.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (May 2024)">citation needed</span></a></i>]</sup> <a href="/wiki/Eratosthenes" title="Eratosthenes">Eratosthenes</a> used a simpler <a href="/wiki/Sexagesimal" title="Sexagesimal">sexagesimal</a> system dividing a circle into 60 parts.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="Reliable source needed for this last sentence (January 2021)">citation needed</span></a></i>]</sup> </p><p>Another motivation for choosing the number 360 may have been that it is <a href="/wiki/Highly_composite_number" title="Highly composite number">readily divisible</a>: 360 has 24 <a href="/wiki/Divisor" title="Divisor">divisors</a>,<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>note 1<span class="cite-bracket">]</span></a></sup> making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence <span class="nowrap external"><a href="//oeis.org/A072938" class="extiw" title="oeis:A072938">A072938</a></span> in the <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">OEIS</a>).<sup id="cite_ref-Brefeld_12-0" class="reference"><a href="#cite_note-Brefeld-12"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Furthermore, it is divisible by every number from 1 to 10 except 7.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>note 2<span class="cite-bracket">]</span></a></sup> This property has many useful applications, such as dividing the world into 24 <a href="/wiki/Time_zone" title="Time zone">time zones</a>, each of which is nominally 15° of <a href="/wiki/Longitude" title="Longitude">longitude</a>, to correlate with the established <a href="/wiki/Hour" title="Hour">24-hour</a> <a href="/wiki/Day" title="Day">day</a> convention. </p><p>Finally, it may be the case that more than one of these factors has come into play. According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere, and that it was rounded to 360 for some of the mathematical reasons cited above. </p> <div class="mw-heading mw-heading2"><h2 id="Subdivisions">Subdivisions</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=2" title="Edit section: Subdivisions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For many practical purposes, a degree is a small enough angle that whole degrees provide sufficient precision. When this is not the case, as in <a href="/wiki/Astronomy" title="Astronomy">astronomy</a> or for <a href="/wiki/Geographic_coordinate_system" title="Geographic coordinate system">geographic coordinates</a> (<a href="/wiki/Latitude" title="Latitude">latitude</a> and <a href="/wiki/Longitude" title="Longitude">longitude</a>), degree measurements may be written using <a href="/wiki/Decimal_degrees" title="Decimal degrees">decimal degrees</a> (<i>DD notation</i>); for example, 40.1875°. </p><p>Alternatively, the traditional <a href="/wiki/Sexagesimal" title="Sexagesimal">sexagesimal</a> <a href="/wiki/Units_of_measurement" class="mw-redirect" title="Units of measurement">unit</a> subdivisions can be used: one degree is divided into 60 <i>minutes (of arc)</i>, and one minute into 60 <i>seconds (of arc)</i>. Use of degrees-minutes-seconds is also called <b>DMS notation</b>. These subdivisions, also called the <i><a href="/wiki/Arcminute" class="mw-redirect" title="Arcminute">arcminute</a></i> and <i><a href="/wiki/Arcsecond" class="mw-redirect" title="Arcsecond">arcsecond</a></i>, are represented by a <a href="/wiki/Prime_(symbol)" title="Prime (symbol)">single prime</a> (′) and <a href="/wiki/Prime_(symbol)" title="Prime (symbol)">double prime</a> (″) respectively. For example, <span class="nowrap">40.1875° = 40° 11′ 15″</span>. Additional precision can be provided using decimal fractions of an arcsecond. </p><p>Maritime charts are marked in degrees and decimal minutes to facilitate measurement; 1 minute of latitude is 1 <a href="/wiki/Nautical_mile" title="Nautical mile">nautical mile</a>. The example above would be given as 40° 11.25′ (commonly written as 11′25 or 11′.25).<sup id="cite_ref-Hopkinson_2012_14-0" class="reference"><a href="#cite_note-Hopkinson_2012-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p><p>The older system of <b>thirds</b>, <b>fourths</b>, etc., which continues the sexagesimal unit subdivision, was used by <a href="/wiki/Al-Kashi" class="mw-redirect" title="Al-Kashi">al-Kashi</a><sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (April 2020)">citation needed</span></a></i>]</sup> and other ancient astronomers, but is rarely used today. These subdivisions were denoted by writing the <a href="/wiki/Roman_numeral" class="mw-redirect" title="Roman numeral">Roman numeral</a> for the number of sixtieths in superscript: 1<sup>I</sup> for a "<a href="/wiki/Prime_(symbol)" title="Prime (symbol)">prime</a>" (minute of arc), 1<sup>II</sup> for a <a href="/wiki/Double_prime" class="mw-redirect" title="Double prime">second</a>, 1<sup>III</sup> for a <a href="/wiki/Triple_prime" class="mw-redirect" title="Triple prime">third</a>, 1<sup>IV</sup> for a <a href="/wiki/Quadruple_prime" class="mw-redirect" title="Quadruple prime">fourth</a>, etc.<sup id="cite_ref-Al-Biruni_1000_15-0" class="reference"><a href="#cite_note-Al-Biruni_1000-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Hence, the modern symbols for the minute and second of arc, and the word "second" also refer to this system.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/SI_prefixes" class="mw-redirect" title="SI prefixes">SI prefixes</a> can also be applied as in, e.g., <b>millidegree</b>, <b>microdegree</b>, etc. </p> <div class="mw-heading mw-heading2"><h2 id="Alternative_units">Alternative units</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=3" title="Edit section: Alternative units"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Angle#Measuring_angles" title="Angle">Measuring angles</a></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Degree-Radian_Conversion.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Degree-Radian_Conversion.svg/300px-Degree-Radian_Conversion.svg.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Degree-Radian_Conversion.svg/450px-Degree-Radian_Conversion.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Degree-Radian_Conversion.svg/600px-Degree-Radian_Conversion.svg.png 2x" data-file-width="700" data-file-height="700" /></a><figcaption>A chart to convert between degrees and radians</figcaption></figure> <p>In most <a href="/wiki/Mathematics" title="Mathematics">mathematical</a> work beyond practical geometry, angles are typically measured in <a href="/wiki/Radian" title="Radian">radians</a> rather than degrees. This is for a variety of reasons; for example, the <a href="/wiki/Trigonometric_function" class="mw-redirect" title="Trigonometric function">trigonometric functions</a> have simpler and more "natural" properties when their arguments are expressed in radians. These considerations outweigh the convenient divisibility of the number 360. One complete <a href="/wiki/Turn_(geometry)" class="mw-redirect" title="Turn (geometry)">turn</a> (360°) is equal to 2<i><a href="/wiki/Pi" title="Pi"><span class="texhtml mvar" style="font-style:italic;">π</span></a></i> radians, so 180° is equal to <span class="texhtml mvar" style="font-style:italic;">π</span> radians, or equivalently, the degree is a <a href="/wiki/Mathematical_constant" title="Mathematical constant">mathematical constant</a>: 1° = <style data-mw-deduplicate="TemplateStyles:r1154941027">.mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="frac"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span>⁄<span class="den">180</span></span>. </p><p>One <a href="/wiki/Turn_(geometry)" class="mw-redirect" title="Turn (geometry)">turn</a> (corresponding to a cycle or revolution) is equal to 360°. </p><p>With the invention of the <a href="/wiki/Metric_system" title="Metric system">metric system</a>, based on powers of ten, there was an attempt to replace degrees by decimal "degrees" in France and nearby countries,<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>note 3<span class="cite-bracket">]</span></a></sup> where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">10</span>⁄<span class="den">9</span></span> gon). This was called <span title="French-language text"><i lang="fr">grade (nouveau)</i></span> or <i><a href="/wiki/Grad_(angle)" class="mw-redirect" title="Grad (angle)">grad</a></i>. Due to confusion with the existing term <i>grad(e)</i> in some northern European countries (meaning a standard degree, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">360</span></span>⁠</span> of a turn), the new unit was called <span title="German-language text"><i lang="de">Neugrad</i></span> in <a href="/wiki/German_language" title="German language">German</a> (whereas the "old" degree was referred to as <span title="German-language text"><i lang="de">Altgrad</i></span>), likewise <span title="Danish-language text"><i lang="da">nygrad</i></span> in <a href="/wiki/Danish_language" title="Danish language">Danish</a>, <a href="/wiki/Swedish_language" title="Swedish language">Swedish</a> and <a href="/wiki/Norwegian_language" title="Norwegian language">Norwegian</a> (also <i>gradian</i>), and <span title="Icelandic-language text"><i lang="is">nýgráða</i></span> in <a href="/wiki/Icelandic_language" title="Icelandic language">Icelandic</a>. To end the confusion, the name <i>gon</i> was later adopted for the new unit. Although this idea of metrification was abandoned by Napoleon, grades continued to be used in several fields and many <a href="/wiki/Scientific_calculator" title="Scientific calculator">scientific calculators</a> support them. Decigrades (<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">1</span>⁄<span class="den">4,000</span></span>) were used with French artillery sights in World War I. </p><p>An <a href="/wiki/Angular_mil" class="mw-redirect" title="Angular mil">angular mil</a>, which is most used in military applications, has at least three specific variants, ranging from <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">1</span>⁄<span class="den">6,400</span></span> to <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">1</span>⁄<span class="den">6,000</span></span>. It is approximately equal to one <a href="/wiki/Milliradian" title="Milliradian">milliradian</a> (<abbr title="circa">c.</abbr> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">1</span>⁄<span class="den">6,283</span></span>). A mil measuring <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1154941027"><span class="frac"><span class="num">1</span>⁄<span class="den">6,000</span></span> of a revolution originated in the <a href="/wiki/Imperial_Russian_Army" title="Imperial Russian Army">imperial Russian army</a>, where an equilateral chord was divided into tenths to give a circle of 600 units. This may be seen on a lining plane (an early device for aiming <a href="/wiki/Indirect_fire" title="Indirect fire">indirect fire</a> artillery) dating from about 1900 in the <a href="/wiki/St._Petersburg" class="mw-redirect" title="St. Petersburg">St. Petersburg</a> Museum of Artillery. </p> <table class="wikitable" style="text-align:center;"> <caption>Conversion of common angles </caption> <tbody><tr> <th><a href="/wiki/Turn_(angle)" title="Turn (angle)">Turns</a> </th> <th><a href="/wiki/Radian" title="Radian">Radians</a> </th> <th><a class="mw-selflink selflink">Degrees</a> </th> <th><a href="/wiki/Gradian" title="Gradian">Gradians</a> </th></tr> <tr> <td>0 turn </td> <td>0 rad </td> <td>0° </td> <td>0<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">72</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">36</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">72</span></span>⁠</span> rad </td> <td>5° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠5<span class="sr-only">+</span><span class="tion"><span class="num">5</span><span class="sr-only">/</span><span class="den">9</span></span>⁠</span><sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">24</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">12</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">24</span></span>⁠</span> rad </td> <td>15° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠16<span class="sr-only">+</span><span class="tion"><span class="num">2</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span><sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">16</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">8</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">16</span></span>⁠</span> rad </td> <td>22.5° </td> <td>25<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">12</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">6</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">12</span></span>⁠</span> rad </td> <td>30° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠33<span class="sr-only">+</span><span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span><sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">10</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">10</span></span>⁠</span> rad </td> <td>36° </td> <td>40<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">8</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">4</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">8</span></span>⁠</span> rad </td> <td>45° </td> <td>50<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">2<span class="texhtml mvar" style="font-style:italic;">π</span> or 𝜏</span></span>⁠</span> turn </td> <td>1 rad </td> <td><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style><span class="rt-commentedText tooltip tooltip-dotted" title="approximately">approx.</span> 57.3° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1038841319"><span class="rt-commentedText tooltip tooltip-dotted" title="approximately">approx.</span> 63.7<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">6</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">6</span></span>⁠</span> rad </td> <td>60° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠66<span class="sr-only">+</span><span class="tion"><span class="num">2</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span><sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">2<span class="texhtml mvar" style="font-style:italic;">π</span> or 𝜏</span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> rad </td> <td>72° </td> <td>80<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">4</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num"><span class="texhtml mvar" style="font-style:italic;">π</span></span><span class="sr-only">/</span><span class="den">2</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">4</span></span>⁠</span> rad </td> <td>90° </td> <td>100<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">2<span class="texhtml mvar" style="font-style:italic;">π</span> or 𝜏</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span> rad </td> <td>120° </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠133<span class="sr-only">+</span><span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span><sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">2</span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">4<span class="texhtml mvar" style="font-style:italic;">π</span> or 2𝜏 or α</span><span class="sr-only">/</span><span class="den">5</span></span>⁠</span> rad </td> <td>144° </td> <td>160<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">2</span></span>⁠</span> turn </td> <td><span class="texhtml mvar" style="font-style:italic;">π</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">𝜏</span><span class="sr-only">/</span><span class="den">2</span></span>⁠</span> rad </td> <td>180° </td> <td>200<sup>g</sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">3</span><span class="sr-only">/</span><span class="den">4</span></span>⁠</span> turn </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">3<span class="texhtml mvar" style="font-style:italic;">π</span> or ρ</span><span class="sr-only">/</span><span class="den">2</span></span>⁠</span> or <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1214402035"><span class="sfrac">⁠<span class="tion"><span class="num">3𝜏</span><span class="sr-only">/</span><span class="den">4</span></span>⁠</span> rad </td> <td>270° </td> <td>300<sup>g</sup> </td></tr> <tr> <td>1 turn </td> <td>𝜏 or 2<span class="texhtml mvar" style="font-style:italic;">π</span> rad </td> <td>360° </td> <td>400<sup>g</sup> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Compass" title="Compass">Compass</a></li> <li><a href="/wiki/Degree_of_curvature" title="Degree of curvature">Degree of curvature</a></li> <li><a href="/wiki/Degrees_per_second" class="mw-redirect" title="Degrees per second">Degrees per second</a></li> <li><a href="/wiki/Geographic_coordinate_system" title="Geographic coordinate system">Geographic coordinate system</a></li> <li><a href="/wiki/Gradian" title="Gradian">Gradian</a></li> <li><a href="/wiki/Meridian_arc" title="Meridian arc">Meridian arc</a></li> <li><a href="/wiki/Square_degree" title="Square degree">Square degree</a></li> <li><a href="/wiki/Square_minute" class="mw-redirect" title="Square minute">Square minute</a></li> <li><a href="/wiki/Square_second_of_arc" class="mw-redirect" title="Square second of arc">Square second</a></li> <li><a href="/wiki/Steradian" title="Steradian">Steradian</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=5" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">The divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.</span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text">Contrast this with the relatively unwieldy <a href="/wiki/2520_(number)" title="2520 (number)">2520</a>, which is the <a href="/wiki/Least_common_multiple" title="Least common multiple">least common multiple</a> for every number from 1 to 10.</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text">These new and decimal "degrees" must not be confused with <a href="/wiki/Decimal_degrees" title="Decimal degrees">decimal degrees</a>.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626"><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-HP48_UG-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-HP48_UG_1-0">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation book cs1"><a rel="nofollow" class="external text" href="http://www.hpcalc.org/details.php?id=3937"><i>HP 48G Series – User's Guide (UG)</i></a> (8 ed.). <a href="/wiki/Hewlett-Packard" title="Hewlett-Packard">Hewlett-Packard</a>. December 1994 [1993]. HP 00048-90126, (00048-90104)<span class="reference-accessdate">. Retrieved <span class="nowrap">6 September</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=HP+48G+Series+%E2%80%93+User%27s+Guide+%28UG%29&rft.edition=8&rft.pub=Hewlett-Packard&rft.date=1994-12&rft_id=http%3A%2F%2Fwww.hpcalc.org%2Fdetails.php%3Fid%3D3937&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-HP50g_UG-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-HP50g_UG_2-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><a rel="nofollow" class="external text" href="http://www.hpcalc.org/details.php?id=6512"><i>HP 50g graphing calculator user's guide (UG)</i></a> (1 ed.). <a href="/wiki/Hewlett-Packard" title="Hewlett-Packard">Hewlett-Packard</a>. 1 April 2006. HP F2229AA-90006<span class="reference-accessdate">. Retrieved <span class="nowrap">10 October</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=HP+50g+graphing+calculator+user%27s+guide+%28UG%29&rft.edition=1&rft.pub=Hewlett-Packard&rft.date=2006-04-01&rft_id=http%3A%2F%2Fwww.hpcalc.org%2Fdetails.php%3Fid%3D6512&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-HP-Prime_UG-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-HP-Prime_UG_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20140903201341/http://h10032.www1.hp.com/ctg/Manual/c04119981.pdf"><i>HP Prime Graphing Calculator User Guide (UG)</i></a> <span class="cs1-format">(PDF)</span> (1 ed.). <a href="/wiki/Hewlett-Packard_Development_Company,_L.P." class="mw-redirect" title="Hewlett-Packard Development Company, L.P.">Hewlett-Packard Development Company, L.P.</a> October 2014. HP 788996-001. Archived from <a rel="nofollow" class="external text" href="http://h10032.www1.hp.com/ctg/Manual/c04119981.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 3 September 2014<span class="reference-accessdate">. Retrieved <span class="nowrap">13 October</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=HP+Prime+Graphing+Calculator+User+Guide+%28UG%29&rft.edition=1&rft.pub=Hewlett-Packard+Development+Company%2C+L.P.&rft.date=2014-10&rft_id=http%3A%2F%2Fh10032.www1.hp.com%2Fctg%2FManual%2Fc04119981.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-:1-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-:1_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:1_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWeisstein" class="citation web cs1">Weisstein, Eric W. <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/Degree.html">"Degree"</a>. <i>mathworld.wolfram.com</i><span class="reference-accessdate">. Retrieved <span class="nowrap">31 August</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=mathworld.wolfram.com&rft.atitle=Degree&rft.aulast=Weisstein&rft.aufirst=Eric+W.&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FDegree.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><a href="/wiki/International_Bureau_of_Weights_and_Measures" title="International Bureau of Weights and Measures">Bureau international des poids et mesures</a>, <a rel="nofollow" class="external text" href="https://www.bipm.org/utils/common/pdf/si‑brochure/SI‑Brochure‑9.pdf"><i>Le Système international d'unités (SI) / The International System of Units (SI)</i>, 9th ed.</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged March 2022">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup> (Sèvres: 2019), <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-92-822-2272-0" title="Special:BookSources/978-92-822-2272-0">978-92-822-2272-0</a>, c. 4, pp. 145–146.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEuclid2008" class="citation book cs1"><a href="/wiki/Euclid" title="Euclid">Euclid</a> (2008). "Book 4". <a href="/wiki/Euclid%27s_Elements" title="Euclid's Elements"><i>Euclid's Elements of Geometry</i></a> [<i>Euclidis Elementa, editit et Latine interpretatus est I. L. Heiberg, in aedibus B. G. Teubneri 1883–1885</i>]. Translated by <a href="/wiki/Johan_Ludvig_Heiberg_(poet)" title="Johan Ludvig Heiberg (poet)">Heiberg, Johan Ludvig</a>; Fitzpatrick, Richard (2 ed.). <a href="/wiki/Princeton_University_Press" title="Princeton University Press">Princeton University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-6151-7984-1" title="Special:BookSources/978-0-6151-7984-1"><bdi>978-0-6151-7984-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+4&rft.btitle=Euclid%27s+Elements+of+Geometry&rft.edition=2&rft.pub=Princeton+University+Press&rft.date=2008&rft.isbn=978-0-6151-7984-1&rft.au=Euclid&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span> <a rel="nofollow" class="external autonumber" href="https://books.google.com/books?id=7HDWIOoBZUAC">[1]</a></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJeans1947" class="citation book cs1"><a href="/wiki/James_Hopwood_Jeans" class="mw-redirect" title="James Hopwood Jeans">Jeans, James Hopwood</a> (1947). <a rel="nofollow" class="external text" href="https://archive.org/details/in.ernet.dli.2015.210060"><i>The Growth of Physical Science</i></a>. <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a> (CUP). p. <a rel="nofollow" class="external text" href="https://archive.org/details/in.ernet.dli.2015.210060/page/n25">7</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Growth+of+Physical+Science&rft.pages=7&rft.pub=Cambridge+University+Press+%28CUP%29&rft.date=1947&rft.aulast=Jeans&rft.aufirst=James+Hopwood&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fin.ernet.dli.2015.210060&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMurnaghan1946" class="citation book cs1"><a href="/wiki/Francis_Dominic_Murnaghan_(mathematician)" title="Francis Dominic Murnaghan (mathematician)">Murnaghan, Francis Dominic</a> (1946). <i>Analytic Geometry</i>. p. 2.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Analytic+Geometry&rft.pages=2&rft.date=1946&rft.aulast=Murnaghan&rft.aufirst=Francis+Dominic&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRawlins" class="citation journal cs1">Rawlins, Dennis. <a rel="nofollow" class="external text" href="http://www.dioi.org/cot.htm#dqsr">"On Aristarchus"</a>. <i>DIO - 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Hamble: <a href="/wiki/The_Royal_Yachting_Association" class="mw-redirect" title="The Royal Yachting Association">The Royal Yachting Association</a>. p. 76. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781-9051-04949" title="Special:BookSources/9781-9051-04949"><bdi>9781-9051-04949</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=RYA+day+skipper+handbook+-+sail&rft.place=Hamble&rft.pages=76&rft.pub=The+Royal+Yachting+Association&rft.date=2012&rft.isbn=9781-9051-04949&rft.aulast=Hopkinson&rft.aufirst=Sara&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-Al-Biruni_1000-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-Al-Biruni_1000_15-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAl-Biruni1879" class="citation book cs1"><a href="/wiki/Al-Biruni" title="Al-Biruni">Al-Biruni</a> (1879) [1000]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=pFIEAAAAIAAJ&pg=PA147"><i>The Chronology of Ancient Nations</i></a>. Translated by Sachau, C. Edward. pp. 147–149.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Chronology+of+Ancient+Nations&rft.pages=147-149&rft.date=1879&rft.au=Al-Biruni&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DpFIEAAAAIAAJ%26pg%3DPA147&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFlegg1989" class="citation book cs1">Flegg, Graham H. (1989). <i>Numbers Through the Ages</i>. <a href="/wiki/Macmillan_International_Higher_Education" class="mw-redirect" title="Macmillan International Higher Education">Macmillan International Higher Education</a>. pp. 156–157. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1-34920177-4" title="Special:BookSources/1-34920177-4"><bdi>1-34920177-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Numbers+Through+the+Ages&rft.pages=156-157&rft.pub=Macmillan+International+Higher+Education&rft.date=1989&rft.isbn=1-34920177-4&rft.aulast=Flegg&rft.aufirst=Graham+H.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Degree_(angle)&action=edit&section=7" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Degree_(angle)" class="extiw" title="commons:Category:Degree (angle)">Degree (angle)</a></span>.</div></div> </div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.mathopenref.com/degrees.html">"Degrees as an angle measure"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Degrees+as+an+angle+measure&rft_id=http%3A%2F%2Fwww.mathopenref.com%2Fdegrees.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADegree+%28angle%29" class="Z3988"></span>, with interactive animation</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGrayMerrifieldMoriarty2009" class="citation web cs1">Gray, Meghan; Merrifield, Michael; Moriarty, Philip (2009). <a rel="nofollow" class="external text" href="http://www.sixtysymbols.com/videos/degree.htm">"° Degree of Angle"</a>. <i>Sixty Symbols</i>. <a href="/wiki/Brady_Haran" title="Brady Haran">Brady Haran</a> for the <a href="/wiki/University_of_Nottingham" title="University of Nottingham">University of Nottingham</a>.</cite><span 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class="navbox-group" style="width:1%"><a href="/wiki/SI_derived_unit" title="SI derived unit">Derived units <br />with special names</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Becquerel" title="Becquerel">becquerel</a></li> <li><a href="/wiki/Coulomb" title="Coulomb">coulomb</a></li> <li><a href="/wiki/Celsius" title="Celsius">degree Celsius</a></li> <li><a href="/wiki/Farad" title="Farad">farad</a></li> <li><a href="/wiki/Gray_(unit)" title="Gray (unit)">gray</a></li> <li><a href="/wiki/Henry_(unit)" title="Henry (unit)">henry</a></li> <li><a href="/wiki/Hertz" title="Hertz">hertz</a></li> <li><a href="/wiki/Joule" title="Joule">joule</a></li> <li><a href="/wiki/Katal" title="Katal">katal</a></li> <li><a href="/wiki/Lumen_(unit)" title="Lumen (unit)">lumen</a></li> <li><a href="/wiki/Lux" title="Lux">lux</a></li> <li><a href="/wiki/Newton_(unit)" title="Newton (unit)">newton</a></li> <li><a href="/wiki/Ohm" title="Ohm">ohm</a></li> <li><a href="/wiki/Pascal_(unit)" title="Pascal (unit)">pascal</a></li> <li><a href="/wiki/Radian" title="Radian">radian</a></li> <li><a href="/wiki/Siemens_(unit)" title="Siemens (unit)">siemens</a></li> <li><a href="/wiki/Sievert" title="Sievert">sievert</a></li> <li><a href="/wiki/Steradian" title="Steradian">steradian</a></li> <li><a href="/wiki/Tesla_(unit)" title="Tesla (unit)">tesla</a></li> <li><a href="/wiki/Volt" title="Volt">volt</a></li> <li><a href="/wiki/Watt" title="Watt">watt</a></li> <li><a href="/wiki/Weber_(unit)" title="Weber (unit)">weber</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Non-SI_units_mentioned_in_the_SI" title="Non-SI units mentioned in the SI">Other accepted units</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Astronomical_unit" title="Astronomical unit">astronomical unit</a></li> <li><a href="/wiki/Dalton_(unit)" title="Dalton (unit)">dalton</a></li> <li><a href="/wiki/Day" title="Day">day</a></li> <li><a href="/wiki/Decibel" title="Decibel">decibel</a></li> <li><a class="mw-selflink selflink">degree of arc</a></li> <li><a href="/wiki/Electronvolt" title="Electronvolt">electronvolt</a></li> <li><a href="/wiki/Hectare" title="Hectare">hectare</a></li> <li><a href="/wiki/Hour" title="Hour">hour</a></li> <li><a href="/wiki/Litre" title="Litre">litre</a></li> <li><a href="/wiki/Minute" title="Minute">minute</a></li> <li><a href="/wiki/Minute_and_second_of_arc" title="Minute and second of arc">minute and second of arc</a></li> <li><a href="/wiki/Neper" title="Neper">neper</a></li> <li><a href="/wiki/Tonne" title="Tonne">tonne</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">See also</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Conversion_of_units" title="Conversion of units">Conversion of units</a></li> <li><a href="/wiki/Metric_prefix" title="Metric prefix">Metric prefixes</a></li> <li><a href="/wiki/Historical_definitions_of_the_SI_base_units" title="Historical definitions of the SI base units">Historical definitions of the SI base units</a></li> <li><a href="/wiki/2019_revision_of_the_SI" title="2019 revision of the SI">2019 revision of the SI</a></li> <li><a href="/wiki/System_of_units_of_measurement" title="System of units of measurement">System of units of measurement</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" 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rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Imperial_units" title="Template:Imperial units"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Imperial_units" title="Template talk:Imperial units"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Imperial_units" title="Special:EditPage/Template:Imperial units"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Imperial_units" style="font-size:114%;margin:0 4em"><a href="/wiki/Imperial_units" title="Imperial units">Imperial units</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div><a href="/wiki/Comparison_of_the_imperial_and_US_customary_measurement_systems" title="Comparison of the imperial and US customary measurement systems">Comparison with US customary system</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Length</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Twip" title="Twip">Twip</a></li> <li><a href="/wiki/Thousandth_of_an_inch" title="Thousandth of an inch">Thousandth of an inch</a></li> <li><a href="/wiki/Barleycorn_(unit)" title="Barleycorn (unit)">Barleycorn</a></li> <li><a href="/wiki/Inch" title="Inch">Inch</a></li> <li><a href="/wiki/Hand_(unit)" title="Hand (unit)">Hand</a></li> <li><a href="/wiki/Link_(unit)" title="Link (unit)">Link</a></li> <li><a href="/wiki/Foot_(unit)" title="Foot (unit)">Foot</a></li> <li><a href="/wiki/Yard" title="Yard">Yard</a></li> <li><a href="/wiki/Fathom" title="Fathom">Fathom</a></li> <li><a href="/wiki/Rod_(unit)" title="Rod (unit)">Rod</a></li> <li><a href="/wiki/Chain_(unit)" title="Chain (unit)">Chain</a></li> <li><a href="/wiki/Gunter%27s_chain" title="Gunter's chain">Gunter's chain</a></li> <li><a href="/wiki/Furlong" title="Furlong">Furlong</a></li> <li><a href="/wiki/Cable_length" title="Cable length">Cable</a></li> <li><a href="/wiki/Mile" title="Mile">Mile</a></li> <li><a href="/wiki/Nautical_mile" title="Nautical mile">Nautical mile</a></li> <li><a href="/wiki/League_(unit)" title="League (unit)">League</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Area</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Square_inch" title="Square inch">Square inch</a></li> <li><a href="/wiki/Square_foot" title="Square foot">Square foot</a></li> <li><a href="/wiki/Square_yard" title="Square yard">Square yard</a></li> <li><a href="/wiki/Perch_(area)" class="mw-redirect" title="Perch (area)">Perch</a></li> <li><a href="/wiki/Rood_(unit)" title="Rood (unit)">Rood</a></li> <li><a href="/wiki/Acre" title="Acre">Acre</a></li> <li><a href="/wiki/Square_mile" title="Square mile">Square mile</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Volume</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Derived</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cubic_inch" title="Cubic inch">Cubic inch</a></li> <li><a href="/wiki/Cubic_foot" title="Cubic foot">Cubic foot</a></li> <li><a href="/wiki/Hoppus" title="Hoppus">Hoppus</a></li> <li><a href="/wiki/Cubic_yard" title="Cubic yard">Cubic yard</a></li> <li><a href="/wiki/Cubic_mile" title="Cubic mile">Cubic mile</a></li> <li><a href="/wiki/Tmcft" title="Tmcft">Tmcft</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Cooking</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Teaspoon" title="Teaspoon">Teaspoon</a></li> <li><a href="/wiki/Tablespoon" title="Tablespoon">Tablespoon</a></li> <li><a href="/wiki/Fluid_ounce" title="Fluid ounce">Fluid ounce</a></li> <li><a href="/wiki/Cup_(unit)" title="Cup (unit)">Cup</a></li> <li><a href="/wiki/Pint" title="Pint">Pint</a></li> <li><a href="/wiki/Quart" title="Quart">Quart</a></li> <li><a href="/wiki/Trade_gallon" title="Trade gallon">Trade gallon</a></li> <li><a href="/wiki/Gallon" title="Gallon">Gallon</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chaldron" title="Chaldron">Chaldron</a></li> <li><a href="/wiki/Minim_(unit)" title="Minim (unit)">Minim</a></li> <li><a href="/wiki/Gill_(unit)" title="Gill (unit)">Gill</a></li> <li><a href="/wiki/Scruple_(unit)" title="Scruple (unit)">Fluid Scruple</a></li> <li><a href="/wiki/Dram_(unit)" title="Dram (unit)">Fluid Drachm</a></li> <li><a href="/wiki/Peck" title="Peck">Peck</a></li> <li><a href="/wiki/Bushel" title="Bushel">Bushel</a></li> <li><a href="/wiki/Barrel_(unit)" title="Barrel (unit)">Barrel</a></li> <li><a href="/wiki/Stuck_(unit)" title="Stuck (unit)">Stuck</a></li> <li><a href="/wiki/Hogshead" title="Hogshead">Hogshead</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Speed</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Miles_per_hour" title="Miles per hour">Miles per hour</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Mass</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Grain_(unit)" title="Grain (unit)">Grain</a></li> <li><a href="/wiki/Dram_(unit)" title="Dram (unit)">Drachm</a></li> <li><a href="/wiki/Ounce" title="Ounce">Ounce</a></li> <li><a href="/wiki/Pound_(mass)" title="Pound (mass)">Pound (mass)</a></li> <li><a href="/wiki/Stone_(unit)" title="Stone (unit)">Stone</a></li> <li><a href="/wiki/Quarter_(unit)" title="Quarter (unit)">Quarter</a></li> <li><a href="/wiki/Slug_(unit)" title="Slug (unit)">Slug</a></li> <li><a href="/wiki/Long_hundred" title="Long hundred">Long hundred</a></li> <li><a href="/wiki/Hundredweight" title="Hundredweight">Hundredweight</a></li> <li><a href="/wiki/Ship_load" title="Ship load">Ship load</a></li> <li><a href="/wiki/Long_Ton" class="mw-redirect" title="Long Ton">Ton</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Pressure</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ksi_(unit)" class="mw-redirect" title="Ksi (unit)">Ksi</a></li> <li><a href="/wiki/Pounds_per_square_inch" class="mw-redirect" title="Pounds per square inch">Pounds per square inch</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other units and measures</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/British_thermal_unit" title="British thermal unit">British thermal unit</a></li> <li><a class="mw-selflink selflink">Degree</a></li> <li><a href="/wiki/Fahrenheit" title="Fahrenheit">Fahrenheit</a></li> <li><a href="/wiki/Rankine_scale" title="Rankine scale">Rankine</a></li> <li><a href="/wiki/Foot-candle" title="Foot-candle">Foot-candle</a></li> <li><a href="/wiki/Foot-pound_(energy)" title="Foot-pound (energy)">Foot-pound</a></li> <li><a href="/wiki/Foot-poundal" title="Foot-poundal">Foot-poundal</a></li> <li><a href="/wiki/Horsepower" title="Horsepower">Horsepower</a></li> <li><a href="/wiki/Horsepower-hour" title="Horsepower-hour">Horsepower-hour</a></li> <li><a href="/wiki/Kenning_(unit)" class="mw-redirect" title="Kenning (unit)">Kenning</a></li> <li><a href="/wiki/Pound_(force)" title="Pound (force)">Pound (force)</a></li> <li><a href="/wiki/Pound-foot_(torque)" title="Pound-foot (torque)">Pound-foot</a></li> <li><a href="/wiki/Poundal" title="Poundal">Poundal</a></li> <li><a href="/wiki/Span_(unit)" title="Span (unit)">Span</a></li> <li><a href="/wiki/Spinning_count" title="Spinning count">Spinning count</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related systems</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Avoirdupois_system" class="mw-redirect" title="Avoirdupois system">Avoirdupois system</a></li> <li><a href="/wiki/English_units" title="English units">English units</a> <ul><li><a href="/wiki/Winchester_measure" title="Winchester measure">Winchester</a></li> <li><a href="/wiki/Exchequer_Standards" title="Exchequer Standards">Exchequer</a></li></ul></li> <li><a href="/wiki/English_Engineering_units" class="mw-redirect" title="English Engineering units">English Engineering units</a></li> <li><a href="/wiki/Foot%E2%80%93pound%E2%80%93second_system" class="mw-redirect" title="Foot–pound–second system">Foot–pound–second system (FPS)</a></li> <li><a href="/wiki/Twenty-foot_equivalent_unit" title="Twenty-foot equivalent unit">Twenty-foot equivalent unit</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="United_States_customary_units" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:United_States_Customary_Units" title="Template:United States Customary Units"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:United_States_Customary_Units" title="Template talk:United States Customary Units"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:United_States_Customary_Units" title="Special:EditPage/Template:United States Customary Units"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="United_States_customary_units" style="font-size:114%;margin:0 4em"><a href="/wiki/United_States_customary_units" title="United States customary units">United States customary units</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div><a href="/wiki/Comparison_of_the_imperial_and_US_customary_measurement_systems" title="Comparison of the imperial and US customary measurement systems">Comparison with imperial unit system</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Length</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Thousandth_of_an_inch" title="Thousandth of an inch">Thousandth of an inch</a></li> <li><a href="/wiki/Inch" title="Inch">Inch</a></li> <li><a href="/wiki/Hand_(unit)" title="Hand (unit)">Hand</a></li> <li><a href="/wiki/Link_(unit)" title="Link (unit)">Link</a></li> <li><a href="/wiki/Foot_(unit)" title="Foot (unit)">Foot</a></li> <li><a href="/wiki/Yard" title="Yard">Yard</a></li> <li><a href="/wiki/Rod_(unit)" title="Rod (unit)">Rod</a></li> <li><a href="/wiki/Chain_(unit)" title="Chain (unit)">Chain</a></li> <li><a href="/wiki/Furlong" title="Furlong">Furlong</a></li> <li><a href="/wiki/Mile" title="Mile">Mile</a> <ul><li><a href="/wiki/Statute_mile" class="mw-redirect" title="Statute mile">statute</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Area</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Square_inch" title="Square inch">Square inch</a></li> <li><a href="/wiki/Square_foot" title="Square foot">Square foot</a></li> <li><a href="/wiki/Square_yard" title="Square yard">Square yard</a></li> <li><a href="/wiki/Acre" title="Acre">Acre</a></li> <li><a href="/wiki/Square_mile" title="Square mile">Square mile</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Volume</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Derived</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cubic_inch" title="Cubic inch">Cubic inch</a></li> <li><a href="/wiki/Cubic_foot" title="Cubic foot">Cubic foot</a></li> <li><a href="/wiki/Cubic_yard" title="Cubic yard">Cubic yard</a></li> <li><a href="/wiki/Cubic_mile" title="Cubic mile">Cubic mile</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Cooking</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Teaspoon" title="Teaspoon">Teaspoon</a></li> <li><a href="/wiki/Tablespoon" title="Tablespoon">Tablespoon</a></li> <li><a href="/wiki/Fluid_ounce" title="Fluid ounce">Fluid ounce</a></li> <li><a href="/wiki/Cup_(unit)" title="Cup (unit)">Cup</a></li> <li><a href="/wiki/Pint" title="Pint">Pint</a></li> <li><a href="/wiki/Quart" title="Quart">Quart</a></li> <li><a href="/wiki/Gallon" title="Gallon">Gallon</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Wood</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Board_foot" title="Board foot">Board foot</a></li> <li><a href="/wiki/Cord_(unit)" title="Cord (unit)">Cord</a></li> <li><a href="/wiki/Face_cord" title="Face cord">Face cord</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Minim_(unit)" title="Minim (unit)">Minim</a></li> <li><a href="/wiki/Gill_(unit)" title="Gill (unit)">Gill</a></li> <li><a href="/wiki/Peck" title="Peck">Peck</a></li> <li><a href="/wiki/Bushel" title="Bushel">Bushel</a></li> <li><a href="/wiki/Barrel_(unit)" title="Barrel (unit)">Barrel</a></li> <li><a href="/wiki/Acre-foot" title="Acre-foot">Acre-foot</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Speed</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Feet_per_second" class="mw-redirect" title="Feet per second">Feet per second</a></li> <li><a href="/wiki/Miles_per_hour" title="Miles per hour">Miles per hour</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Mass</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Grain_(unit)" title="Grain (unit)">Grain</a></li> <li><a href="/wiki/Dram_(unit)" title="Dram (unit)">Dram</a></li> <li><a href="/wiki/Ounce" title="Ounce">Ounce</a></li> <li><a href="/wiki/Pound_(mass)" title="Pound (mass)">Pound</a></li> <li><a href="/wiki/Hundredweight" title="Hundredweight">Hundredweight</a></li> <li><a href="/wiki/Ton" title="Ton">Ton</a> <ul><li><a href="/wiki/Long_ton" title="Long ton">Long</a></li> <li><a href="/wiki/Short_ton" title="Short ton">Short</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Force</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Poundal" title="Poundal">Poundal</a></li> <li><a href="/wiki/Pound_(force)" title="Pound (force)">Pound-force</a></li> <li><a href="/wiki/Kip_(unit)" title="Kip (unit)">Kip</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Pressure</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Inch_of_mercury" title="Inch of mercury">Inch of mercury</a></li> <li><a href="/wiki/Pounds_per_square_inch" class="mw-redirect" title="Pounds per square inch">Pounds per square inch</a></li> <li><a href="/wiki/Ksi_(unit)" class="mw-redirect" title="Ksi (unit)">Kilopounds per square inch</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other units and measures</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bolt_(cloth)" title="Bolt (cloth)">Bolt (cloth)</a></li> <li><a href="/wiki/British_thermal_unit" title="British thermal unit">British thermal unit</a></li> <li><a class="mw-selflink selflink">Degree (angle)</a></li> <li><a href="/wiki/Fahrenheit" title="Fahrenheit">Fahrenheit</a></li> <li><a href="/wiki/Foot-candle" title="Foot-candle">Foot-candle</a></li> <li><a href="/wiki/Foot-lambert" title="Foot-lambert">Foot-lambert</a></li> <li><a href="/wiki/Foot-pound_(energy)" title="Foot-pound (energy)">Foot-pound (energy)</a></li> <li><a href="/wiki/Horsepower" title="Horsepower">Horsepower</a></li> <li><a href="/wiki/Perm_(unit)" title="Perm (unit)">Perm</a></li> <li><a href="/wiki/Pound-foot_(torque)" title="Pound-foot (torque)">Pound-foot (torque)</a></li> <li><a href="/wiki/Spinning_count" title="Spinning count">Spinning count</a></li> <li><a href="/wiki/Ton_of_refrigeration" title="Ton of refrigeration">Ton of refrigeration</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related systems</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/American_wire_gauge" title="American wire gauge">American wire gauge</a></li> <li><a href="/wiki/Avoirdupois_system" class="mw-redirect" title="Avoirdupois system">Avoirdupois system</a></li> <li><a href="/wiki/Body_jewelry_sizes" title="Body jewelry sizes">Body jewelry sizes</a></li> <li><a href="/wiki/English_Engineering_Units" title="English Engineering Units">English Engineering Units</a></li> <li><a href="/wiki/Foot%E2%80%93pound%E2%80%93second_system_of_units" title="Foot–pound–second system of units">Foot–pound–second system of units</a></li></ul> </div></td></tr></tbody></table></div> <style data-mw-deduplicate="TemplateStyles:r1130092004">.mw-parser-output .portal-bar{font-size:88%;font-weight:bold;display:flex;justify-content:center;align-items:baseline}.mw-parser-output .portal-bar-bordered{padding:0 2em;background-color:#fdfdfd;border:1px solid #a2a9b1;clear:both;margin:1em auto 0}.mw-parser-output .portal-bar-related{font-size:100%;justify-content:flex-start}.mw-parser-output .portal-bar-unbordered{padding:0 1.7em;margin-left:0}.mw-parser-output .portal-bar-header{margin:0 1em 0 0.5em;flex:0 0 auto;min-height:24px}.mw-parser-output .portal-bar-content{display:flex;flex-flow:row wrap;flex:0 1 auto;padding:0.15em 0;column-gap:1em;align-items:baseline;margin:0;list-style:none}.mw-parser-output .portal-bar-content-related{margin:0;list-style:none}.mw-parser-output .portal-bar-item{display:inline-block;margin:0.15em 0.2em;min-height:24px;line-height:24px}@media screen and (max-width:768px){.mw-parser-output .portal-bar{font-size:88%;font-weight:bold;display:flex;flex-flow:column wrap;align-items:baseline}.mw-parser-output .portal-bar-header{text-align:center;flex:0;padding-left:0.5em;margin:0 auto}.mw-parser-output .portal-bar-related{font-size:100%;align-items:flex-start}.mw-parser-output .portal-bar-content{display:flex;flex-flow:row wrap;align-items:center;flex:0;column-gap:1em;border-top:1px solid #a2a9b1;margin:0 auto;list-style:none}.mw-parser-output .portal-bar-content-related{border-top:none;margin:0;list-style:none}}.mw-parser-output .navbox+link+.portal-bar,.mw-parser-output .navbox+style+.portal-bar,.mw-parser-output .navbox+link+.portal-bar-bordered,.mw-parser-output .navbox+style+.portal-bar-bordered,.mw-parser-output .sister-bar+link+.portal-bar,.mw-parser-output .sister-bar+style+.portal-bar,.mw-parser-output .portal-bar+.navbox-styles+.navbox,.mw-parser-output .portal-bar+.navbox-styles+.sister-bar{margin-top:-1px}</style><div class="portal-bar noprint metadata noviewer portal-bar-bordered" role="navigation" aria-label="Portals"><span class="portal-bar-header"><a href="/wiki/Wikipedia:Contents/Portals" title="Wikipedia:Contents/Portals">Portals</a>:</span><ul class="portal-bar-content"><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/19px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/29px-Nuvola_apps_edu_mathematics_blue-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/38px-Nuvola_apps_edu_mathematics_blue-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> </span><a href="/wiki/Portal:Mathematics" title="Portal:Mathematics">Mathematics</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Terra.png/19px-Terra.png" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Terra.png/29px-Terra.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Terra.png/38px-Terra.png 2x" data-file-width="600" data-file-height="600" /></span></span> </span><a href="/wiki/Portal:Geography" title="Portal:Geography">Geography</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/19px-Crab_Nebula.jpg" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/29px-Crab_Nebula.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/38px-Crab_Nebula.jpg 2x" data-file-width="3864" data-file-height="3864" /></span></span> </span><a href="/wiki/Portal:Astronomy" title="Portal:Astronomy">Astronomy</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:He1523a.jpg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/16px-He1523a.jpg" decoding="async" width="16" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/25px-He1523a.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/33px-He1523a.jpg 2x" data-file-width="180" data-file-height="207" /></a></span> </span><a href="/wiki/Portal:Stars" title="Portal:Stars">Stars</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/RocketSunIcon.svg/19px-RocketSunIcon.svg.png" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/RocketSunIcon.svg/29px-RocketSunIcon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/RocketSunIcon.svg/38px-RocketSunIcon.svg.png 2x" data-file-width="128" data-file-height="128" /></span></span> </span><a href="/wiki/Portal:Spaceflight" title="Portal:Spaceflight">Spaceflight</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Earth-moon.jpg/21px-Earth-moon.jpg" decoding="async" width="21" height="17" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Earth-moon.jpg/32px-Earth-moon.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Earth-moon.jpg/42px-Earth-moon.jpg 2x" data-file-width="3000" data-file-height="2400" /></span></span> </span><a href="/wiki/Portal:Outer_space" title="Portal:Outer space">Outer space</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Solar_system.jpg/15px-Solar_system.jpg" decoding="async" width="15" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Solar_system.jpg/23px-Solar_system.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/83/Solar_system.jpg/30px-Solar_system.jpg 2x" data-file-width="4500" data-file-height="5600" /></span></span> </span><a href="/wiki/Portal:Solar_System" title="Portal:Solar System">Solar System</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:Nuvola_apps_kalzium.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/19px-Nuvola_apps_kalzium.svg.png" decoding="async" width="19" height="19" class="mw-file-element" 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