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class="vector-menu-heading"> Navigering </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portal:Huvudsida" title="Besök huvudsidan [z]" accesskey="z"><span>Huvudsida</span></a></li><li id="n-Introduktion" class="mw-list-item"><a href="/wiki/Wikipedia:Introduktion"><span>Introduktion</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Deltagarportalen" title="Om projektet, vad du kan göra, var man kan hitta saker"><span>Deltagarportalen</span></a></li><li id="n-Bybrunnen" class="mw-list-item"><a href="/wiki/Wikipedia:Bybrunnen"><span>Bybrunnen</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:Senaste_%C3%A4ndringar" title="Lista över de senaste ändringarna på wikin [r]" accesskey="r"><span>Senaste ändringarna</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Slumpsida" title="Gå till en slumpmässigt 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class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv" class=""><span>Stöd Wikipedia</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:Skapa_konto&returnto=Steradian" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt" class=""><span>Skapa konto</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:Inloggning&returnto=Steradian" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o" class=""><span>Logga in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Fler alternativ" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personliga verktyg" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personliga verktyg</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Användarmeny" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv"><span>Stöd Wikipedia</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Skapa_konto&returnto=Steradian" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skapa konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Inloggning&returnto=Steradian" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Webbplats"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Innehåll" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inledning</div> </a> </li> <li id="toc-Samband_med_sfärisk_geometri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Samband_med_sfärisk_geometri"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Samband med sfärisk geometri</span> </div> </a> <ul id="toc-Samband_med_sfärisk_geometri-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="Innehåll" 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="Växla innehållsförteckningen" > <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">Växla innehållsförteckningen</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">Steradian</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="Gå till en artikel på ett annat språk. Tillgänglig på 71 språk" > <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-71" 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">71 språk</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/Steradiaal" title="Steradiaal – afrikaans" lang="af" hreflang="af" data-title="Steradiaal" 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%B3%D8%AA%D8%B1%D8%A7%D8%AF%D9%8A%D8%A7%D9%86" title="ستراديان – arabiska" lang="ar" hreflang="ar" data-title="ستراديان" data-language-autonym="العربية" data-language-local-name="arabiska" 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/Estereorradi%C3%A1n" title="Estereorradián – asturiska" lang="ast" hreflang="ast" data-title="Estereorradián" data-language-autonym="Asturianu" data-language-local-name="asturiska" 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%B8%E0%A7%8D%E0%A6%9F%E0%A7%87%E0%A6%B0%E0%A7%87%E0%A6%A1%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A6%BE%E0%A6%A8" title="স্টেরেডিয়ান – bengali" lang="bn" hreflang="bn" data-title="স্টেরেডিয়ান" data-language-autonym="বাংলা" data-language-local-name="bengali" 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%A1%D1%82%D1%8D%D1%80%D0%B0%D0%B4%D1%8B%D1%8F%D0%BD" title="Стэрадыян – belarusiska" lang="be" hreflang="be" data-title="Стэрадыян" data-language-autonym="Беларуская" data-language-local-name="belarusiska" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A1%D1%82%D1%8D%D1%80%D0%B0%D0%B4%D1%8B%D1%8F%D0%BD" title="Стэрадыян – belarusiska (tarasjkevitsa)" lang="be-tarask" hreflang="be-tarask" data-title="Стэрадыян" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="belarusiska (tarasjkevitsa)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD" title="Стерадиан – bulgariska" lang="bg" hreflang="bg" data-title="Стерадиан" data-language-autonym="Български" data-language-local-name="bulgariska" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%9F%E0%BE%B3%E0%BD%B4%E0%BD%98%E0%BC%8B%E0%BD%84%E0%BD%BC%E0%BD%A6%E0%BC%8B%E0%BD%9A%E0%BD%91%E0%BC%8D" title="ཟླུམ་ངོས་ཚད། – tibetanska" lang="bo" hreflang="bo" data-title="ཟླུམ་ངོས་ཚད།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetanska" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Estereoradian" title="Estereoradian – katalanska" lang="ca" hreflang="ca" data-title="Estereoradian" data-language-autonym="Català" data-language-local-name="katalanska" 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%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD" title="Стерадиан – tjuvasjiska" lang="cv" hreflang="cv" data-title="Стерадиан" data-language-autonym="Чӑвашла" data-language-local-name="tjuvasjiska" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Steradi%C3%A1n" title="Steradián – tjeckiska" lang="cs" hreflang="cs" data-title="Steradián" data-language-autonym="Čeština" data-language-local-name="tjeckiska" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Steradian" title="Steradian – walesiska" lang="cy" hreflang="cy" data-title="Steradian" data-language-autonym="Cymraeg" data-language-local-name="walesiska" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Steradian" title="Steradian – danska" lang="da" hreflang="da" data-title="Steradian" data-language-autonym="Dansk" data-language-local-name="danska" 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/Steradiant" title="Steradiant – tyska" lang="de" hreflang="de" data-title="Steradiant" data-language-autonym="Deutsch" data-language-local-name="tyska" 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/Steradiaan" title="Steradiaan – estniska" lang="et" hreflang="et" data-title="Steradiaan" data-language-autonym="Eesti" data-language-local-name="estniska" 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%A3%CF%84%CE%B5%CF%81%CE%B1%CE%BA%CF%84%CE%AF%CE%BD%CE%B9%CE%BF" title="Στερακτίνιο – grekiska" lang="el" hreflang="el" data-title="Στερακτίνιο" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Steradian" title="Steradian – engelska" lang="en" hreflang="en" data-title="Steradian" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Estereorradi%C3%A1n" title="Estereorradián – spanska" lang="es" hreflang="es" data-title="Estereorradián" data-language-autonym="Español" data-language-local-name="spanska" 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/Steradiano" title="Steradiano – esperanto" lang="eo" hreflang="eo" data-title="Steradiano" 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/Estereorradian" title="Estereorradian – baskiska" lang="eu" hreflang="eu" data-title="Estereorradian" data-language-autonym="Euskara" data-language-local-name="baskiska" 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%A7%D8%B3%D8%AA%D8%B1%D8%A7%D8%AF%DB%8C%D8%A7%D9%86" title="استرادیان – persiska" lang="fa" hreflang="fa" data-title="استرادیان" data-language-autonym="فارسی" data-language-local-name="persiska" 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/St%C3%A9radian" title="Stéradian – franska" lang="fr" hreflang="fr" data-title="Stéradian" data-language-autonym="Français" data-language-local-name="franska" 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/Stearaidian" title="Stearaidian – iriska" lang="ga" hreflang="ga" data-title="Stearaidian" data-language-autonym="Gaeilge" data-language-local-name="iriska" 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/Estereorradi%C3%A1n" title="Estereorradián – galiciska" lang="gl" hreflang="gl" data-title="Estereorradián" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8A%A4%ED%85%8C%EB%9D%BC%EB%94%94%EC%95%88" title="스테라디안 – koreanska" lang="ko" hreflang="ko" data-title="스테라디안" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%BF%D5%A5%D5%BC%D5%A1%D5%A4%D5%AB%D5%A1%D5%B6" title="Ստեռադիան – armeniska" lang="hy" hreflang="hy" data-title="Ստեռադիան" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%9F%E0%A5%87%E0%A4%B0%E0%A5%87%E0%A4%A1%E0%A4%BF%E0%A4%AF%E0%A4%A8" title="स्टेरेडियन – hindi" lang="hi" hreflang="hi" data-title="स्टेरेडियन" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Steradijan" title="Steradijan – kroatiska" lang="hr" hreflang="hr" data-title="Steradijan" data-language-autonym="Hrvatski" data-language-local-name="kroatiska" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Steradian" title="Steradian – indonesiska" lang="id" hreflang="id" data-title="Steradian" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" 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/Steradiano" title="Steradiano – interlingua" lang="ia" hreflang="ia" data-title="Steradiano" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Steradiante" title="Steradiante – italienska" lang="it" hreflang="it" data-title="Steradiante" data-language-autonym="Italiano" data-language-local-name="italienska" 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%A1%D7%98%D7%A8%D7%93%D7%99%D7%90%D7%9F" title="סטרדיאן – hebreiska" lang="he" hreflang="he" data-title="סטרדיאן" data-language-autonym="עברית" data-language-local-name="hebreiska" 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%A1%E1%83%A2%E1%83%94%E1%83%A0%E1%83%90%E1%83%93%E1%83%98%E1%83%90%E1%83%9C%E1%83%98" title="სტერადიანი – georgiska" lang="ka" hreflang="ka" data-title="სტერადიანი" data-language-autonym="ქართული" data-language-local-name="georgiska" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD" title="Стерадиан – kazakiska" lang="kk" hreflang="kk" data-title="Стерадиан" data-language-autonym="Қазақша" data-language-local-name="kazakiska" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Steradi%C4%81ns" title="Steradiāns – lettiska" lang="lv" hreflang="lv" data-title="Steradiāns" data-language-autonym="Latviešu" data-language-local-name="lettiska" 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/Steradiant" title="Steradiant – luxemburgiska" lang="lb" hreflang="lb" data-title="Steradiant" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxemburgiska" 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/Steradianas" title="Steradianas – litauiska" lang="lt" hreflang="lt" data-title="Steradianas" data-language-autonym="Lietuvių" data-language-local-name="litauiska" 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/Szteradi%C3%A1n" title="Szteradián – ungerska" lang="hu" hreflang="hu" data-title="Szteradián" data-language-autonym="Magyar" data-language-local-name="ungerska" 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%D1%80%D0%B0%D0%B4%D0%B8%D1%98%D0%B0%D0%BD" title="Стерадијан – makedonska" lang="mk" hreflang="mk" data-title="Стерадијан" data-language-autonym="Македонски" data-language-local-name="makedonska" 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%B8%E0%B5%8D%E0%B4%B1%E0%B5%8D%E0%B4%B1%E0%B5%86%E0%B4%B1%E0%B4%BE%E0%B4%A1%E0%B4%BF%E0%B4%AF%E0%B5%BB" title="സ്റ്റെറാഡിയൻ – malayalam" lang="ml" hreflang="ml" data-title="സ്റ്റെറാഡിയൻ" 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/Steradian" title="Steradian – malajiska" lang="ms" hreflang="ms" data-title="Steradian" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiska" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD" title="Стерадиан – mongoliska" lang="mn" hreflang="mn" data-title="Стерадиан" data-language-autonym="Монгол" data-language-local-name="mongoliska" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Steradiaal" title="Steradiaal – nederländska" lang="nl" hreflang="nl" data-title="Steradiaal" data-language-autonym="Nederlands" data-language-local-name="nederländska" 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/%E3%82%B9%E3%83%86%E3%83%A9%E3%82%B8%E3%82%A2%E3%83%B3" title="ステラジアン – japanska" lang="ja" hreflang="ja" data-title="ステラジアン" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Steradian" title="Steradian – norskt bokmål" lang="nb" hreflang="nb" data-title="Steradian" data-language-autonym="Norsk bokmål" data-language-local-name="norskt 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/Steradian" title="Steradian – nynorska" lang="nn" hreflang="nn" data-title="Steradian" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Estereoradian" title="Estereoradian – occitanska" lang="oc" hreflang="oc" data-title="Estereoradian" data-language-autonym="Occitan" data-language-local-name="occitanska" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Steradian" title="Steradian – uzbekiska" lang="uz" hreflang="uz" data-title="Steradian" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekiska" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Sterajant" title="Sterajant – piemontesiska" lang="pms" hreflang="pms" data-title="Sterajant" data-language-autonym="Piemontèis" data-language-local-name="piemontesiska" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Steradian" title="Steradian – polska" lang="pl" hreflang="pl" data-title="Steradian" data-language-autonym="Polski" data-language-local-name="polska" 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/Esferorradiano" title="Esferorradiano – portugisiska" lang="pt" hreflang="pt" data-title="Esferorradiano" data-language-autonym="Português" data-language-local-name="portugisiska" 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/Steradian" title="Steradian – rumänska" lang="ro" hreflang="ro" data-title="Steradian" data-language-autonym="Română" data-language-local-name="rumänska" 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%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD" title="Стерадиан – ryska" lang="ru" hreflang="ru" data-title="Стерадиан" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Steradianti" title="Steradianti – sicilianska" lang="scn" hreflang="scn" data-title="Steradianti" data-language-autonym="Sicilianu" data-language-local-name="sicilianska" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%83%E0%B7%8A%E0%B6%A7%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B7%9A%E0%B6%A9%E0%B7%92%E0%B6%BA%E0%B6%B1%E0%B6%BA" title="ස්ට්‍රේඩියනය – singalesiska" lang="si" hreflang="si" data-title="ස්ට්‍රේඩියනය" data-language-autonym="සිංහල" data-language-local-name="singalesiska" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Steradian" title="Steradian – Simple English" lang="en-simple" hreflang="en-simple" data-title="Steradian" 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/Steradi%C3%A1n" title="Steradián – slovakiska" lang="sk" hreflang="sk" data-title="Steradián" data-language-autonym="Slovenčina" data-language-local-name="slovakiska" 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/Steradian" title="Steradian – slovenska" lang="sl" hreflang="sl" data-title="Steradian" data-language-autonym="Slovenščina" data-language-local-name="slovenska" 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/%D8%B3%D8%AA%D8%B1%D8%A7%D8%AF%DB%8C%D8%A7%D9%86" title="سترادیان – centralkurdiska" lang="ckb" hreflang="ckb" data-title="سترادیان" data-language-autonym="کوردی" data-language-local-name="centralkurdiska" 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%D1%80%D0%B0%D0%B4%D0%B8%D1%98%D0%B0%D0%BD" title="Стерадијан – serbiska" lang="sr" hreflang="sr" data-title="Стерадијан" data-language-autonym="Српски / srpski" data-language-local-name="serbiska" 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/Steradijan" title="Steradijan – serbokroatiska" lang="sh" hreflang="sh" data-title="Steradijan" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatiska" 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/Steradiaani" title="Steradiaani – finska" lang="fi" hreflang="fi" data-title="Steradiaani" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A4%E0%AE%BF%E0%AE%A3%E0%AF%8D%E0%AE%AE%E0%AE%B5%E0%AE%BE%E0%AE%B0%E0%AF%88%E0%AE%AF%E0%AE%A9%E0%AF%8D" title="திண்மவாரையன் – tamil" lang="ta" hreflang="ta" data-title="திண்மவாரையன்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AA%E0%B9%80%E0%B8%95%E0%B8%AD%E0%B9%80%E0%B8%A3%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2%E0%B8%99" title="สเตอเรเดียน – thailändska" lang="th" hreflang="th" data-title="สเตอเรเดียน" data-language-autonym="ไทย" data-language-local-name="thailändska" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Steradyan" title="Steradyan – turkiska" lang="tr" hreflang="tr" data-title="Steradyan" data-language-autonym="Türkçe" data-language-local-name="turkiska" 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%A1%D1%82%D0%B5%D1%80%D0%B0%D0%B4%D1%96%D0%B0%D0%BD" title="Стерадіан – ukrainska" lang="uk" hreflang="uk" data-title="Стерадіан" data-language-autonym="Українська" data-language-local-name="ukrainska" 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%B3%D9%B9%D8%B1%DB%8C%DA%88%DB%8C%D9%86" title="سٹریڈین – urdu" lang="ur" hreflang="ur" data-title="سٹریڈین" 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/Steradian" title="Steradian – vietnamesiska" lang="vi" hreflang="vi" data-title="Steradian" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesiska" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%90%83%E9%9D%A2%E5%BA%A6" title="球面度 – wu" lang="wuu" hreflang="wuu" data-title="球面度" 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-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%90%83%E9%9D%A2%E5%BA%A6" title="球面度 – kantonesiska" lang="yue" hreflang="yue" data-title="球面度" data-language-autonym="粵語" data-language-local-name="kantonesiska" 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/%E7%90%83%E9%9D%A2%E5%BA%A6" title="球面度 – kinesiska" lang="zh" hreflang="zh" data-title="球面度" data-language-autonym="中文" data-language-local-name="kinesiska" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q177612#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namnrymder"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Steradian" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskussion:Steradian&action=edit&redlink=1" rel="discussion" class="new" title="Diskussion om innehållssidan [inte skriven än] [t]" accesskey="t"><span>Diskussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" 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href="/wiki/Steradian"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Steradian&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Steradian&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Steradian&action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Verktyg" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Verktyg</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Verktyg</div> <button class="vector-pinnable-header-toggle-button 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href="/w/index.php?title=Steradian&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Steradian&action=history"><span>Visa historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Allmänt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:L%C3%A4nkar_hit/Steradian" title="Lista över alla wikisidor som länkar hit [j]" accesskey="j"><span>Sidor som länkar hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:Senaste_relaterade_%C3%A4ndringar/Steradian" rel="nofollow" title="Visa senaste ändringarna av sidor som den här sidan länkar till [k]" accesskey="k"><span>Relaterade ändringar</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:Specialsidor" title="Lista över alla specialsidor [q]" accesskey="q"><span>Specialsidor</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Steradian&oldid=48802292" title="Permanent länk till den här versionen av sidan"><span>Permanent länk</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Steradian&action=info" title="Mer information om denna sida"><span>Sidinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:Citera&page=Steradian&id=48802292&wpFormIdentifier=titleform" title="Information om hur den här artikeln kan användas som referens"><span>Använd som referens</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FSteradian"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FSteradian"><span>Ladda ner QR-kod</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Skriv ut/exportera </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Special:Bok&bookcmd=book_creator&referer=Steradian"><span>Skapa en bok</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Steradian&action=show-download-screen"><span>Ladda ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Steradian&printable=yes" title="Utskriftsvänlig version av den här sidan [p]" accesskey="p"><span>Utskriftsvänlig version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> På andra projekt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Steradian" hreflang="en"><span>Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q177612" title="Länk till anslutet databasobjekt [g]" accesskey="g"><span>Wikidata-objekt</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav 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class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Från Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Fil:Steradian.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Steradian.jpg/150px-Steradian.jpg" decoding="async" width="150" height="137" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Steradian.jpg/225px-Steradian.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Steradian.jpg/300px-Steradian.jpg 2x" data-file-width="320" data-file-height="293" /></a><figcaption>Konen upptar en steradian.</figcaption></figure> <p><b>Steradian</b> (grek. <i>stereos</i>, solid) är den <a href="/wiki/SI_(h%C3%A4rledd_enhet)" class="mw-redirect" title="SI (härledd enhet)">härledda SI-enheten</a> för <a href="/wiki/Rymdvinkel" title="Rymdvinkel">rymdvinkeln</a>. Enhetssymbolen är <b>sr</b>. </p><p>En steradian (sr) är rymdvinkeln hos en <a href="/wiki/Kon" title="Kon">kon</a> som har sin spets i medelpunkten (centrum) av en <a href="/wiki/Sf%C3%A4r" title="Sfär">sfär</a> och som skär av ett stycke av sfärens yta som motsvarar en <a href="/wiki/Area" title="Area">area</a> lika med arean av en kvadrat vars sidor har samma längd som sfärens radie. Måttet används så att en rymdvinkel med spets i medelpunkten av en sfär med radien <i>r</i> och som skär av ett område ("sfärsektor") med arean <i>A</i> av sfären tilldelas rymdvinkelmåttet </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {A}{r^{2}}}\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>A</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {A}{r^{2}}}\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71f86120ad741106bf163c25e0e6d32504f01e2c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:3.584ex; height:5.676ex;" alt="{\displaystyle {\frac {A}{r^{2}}}\;}"></span>sr. Eftersom hela sfärens area är 4π<i>r</i><sup>2</sup>, är <a href="/wiki/Supremum" title="Supremum">supremum</a> av rymdvinkelmåtten 4π sr.</dd></dl></dd></dl> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fil:Steradian_anim.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Steradian_anim.gif/150px-Steradian_anim.gif" decoding="async" width="150" height="177" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/a/a1/Steradian_anim.gif 1.5x" data-file-width="220" data-file-height="260" /></a><figcaption> 2π sr är halva sfären.</figcaption></figure> <p>En hel sfär har rymdvinkeln 4<a href="/wiki/Pi_(tal)" class="mw-redirect" title="Pi (tal)">π</a> steradianer; sfärens yta är 4π <i>r</i> ². </p><p>En annan enhet för att mäta rymdvinkel är <a href="/wiki/Kvadratgrad" title="Kvadratgrad">kvadratgrader</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Samband_med_sfärisk_geometri"><span id="Samband_med_sf.C3.A4risk_geometri"></span>Samband med sfärisk geometri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Steradian&veaction=edit&section=1" title="Redigera avsnitt: Samband med sfärisk geometri" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Steradian&action=edit&section=1" title="Redigera avsnitts källkod: Samband med sfärisk geometri"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i>Se <a href="/wiki/Girards_sats" title="Girards sats">Girards sats</a>.</i> </p><p>En <a href="/wiki/Sf%C3%A4risk_triangel" title="Sfärisk triangel">sfärisk triangel</a> har alltid en vinkelsumma som är större än π (<a href="/wiki/Radian" title="Radian">radianer</a>), alltså större än 180°. Skillnaden (säg <i>ö</i>) kallas det <i>sfäriska överskottet</i>, och om vinklarna mäts i radianer står överskottet i direkt proportion till triangelns area. Arean blir <i>ör</i><sup>2</sup>, så att överskottet blir precis rymdvinkeln för den kon med spets i sfärens medelpunkt som bildas av triangeln. Med andra ord kan vi då ersätta den vanliga regeln <span style="white-space:nowrap">α + β + γ = π</span> för vinkelsumman i en plan triangel med vinklarna α, β och γ med regeln </p> <dl><dd><dl><dd>α + β + γ = π + Ω</dd></dl></dd></dl> <p>för en sfärisk triangel, där Ω är rymdvinkelmåttet för den rymdvinkel som bestäms av triangeln. </p><p>Motsvarande samband mellan rymdvinkel och vinkelöverskott finns också för andra <a href="/w/index.php?title=Sf%C3%A4risk_polygon&action=edit&redlink=1" class="new" title="Sfärisk polygon [inte skriven än]">sfäriska polygoner</a>. </p> <style data-mw-deduplicate="TemplateStyles:r44690948">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output 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table.navbox th{background:#b0c4de}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background:#d0e0f5}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background:#deeafa}.mw-parser-output .navbox-even{background:#f7f7f7}.mw-parser-output .navbox-odd{background:transparent}</style><table class="navbox" style="border-spacing:0; ;"><tbody><tr><td style="padding:2px;"><table class="hlist collapsible uncollapsed" style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="3" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:SI" title="Mall:SI"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:SI&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Internationella_m%C3%A5ttenhetssystemet" title="Internationella måttenhetssystemet">Internationella måttenhetssystemet</a> (SI)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-enhet#Grundenheter" title="SI-enhet">Grundenheter</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-odd"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_str%C3%B6m" title="Elektrisk ström">Elektrisk ström</a>: <a href="/wiki/Ampere" title="Ampere">ampere</a> (A)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ljusstyrka" title="Ljusstyrka">Ljusstyrka</a>: <a href="/wiki/Candela" title="Candela">candela</a> (cd)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/L%C3%A4ngd" title="Längd">Längd</a>: <a href="/wiki/Meter" title="Meter">meter</a> (m)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Massa" title="Massa">Massa</a>: <a href="/wiki/Kilogram" title="Kilogram">kilogram</a> (kg)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Substansm%C3%A4ngd" title="Substansmängd">Substansmängd</a>: <a href="/wiki/Mol" title="Mol">mol</a> (mol)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Temperatur" title="Temperatur">Temperatur</a>: <a href="/wiki/Kelvin" title="Kelvin">kelvin</a> (K)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Tid" title="Tid">Tid</a>: <a href="/wiki/Sekund" title="Sekund">sekund</a> (s)</span></li></ul> </div></div></td><td style="width:0%;padding:0px 0px 0px 2px;" rowspan="5"><span typeof="mw:File"><a href="/wiki/Fil:SI_base_units.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/100px-SI_base_units.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/150px-SI_base_units.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/200px-SI_base_units.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-enhet#Härledda_enheter" title="SI-enhet">Härledda enheter</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-even"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Effekt" title="Effekt">Effekt</a>: <a href="/wiki/Watt" title="Watt">watt</a> (W)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_laddning" title="Elektrisk laddning">Elektrisk laddning</a>: <a href="/wiki/Coulomb" title="Coulomb">coulomb</a> (C)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_sp%C3%A4nning" title="Elektrisk spänning">Elektrisk spänning</a>: <a href="/wiki/Volt" title="Volt">volt</a> (V)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Energi" title="Energi">Energi</a>: <a href="/wiki/Joule" title="Joule">joule</a> (J)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Frekvens" title="Frekvens">Frekvens</a>: <a href="/wiki/Hertz" title="Hertz">hertz</a> (Hz)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Illuminans" title="Illuminans">Illuminans</a>: <a href="/wiki/Lux_(enhet)" title="Lux (enhet)">lux</a> (lx)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Induktans" title="Induktans">Induktans</a>: <a href="/wiki/Henry_(enhet)" title="Henry (enhet)">henry</a> (H)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kapacitans" title="Kapacitans">Kapacitans</a>: <a href="/wiki/Farad" title="Farad">farad</a> (F)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Katalys" title="Katalys">Katalytisk aktivitet</a>: <a href="/wiki/Katal" title="Katal">katal</a> (kat)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Konduktans" title="Konduktans">Konduktans</a>: <a href="/wiki/Siemens_(enhet)" title="Siemens (enhet)">siemens</a> (S)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kraft" title="Kraft">Kraft</a>: <a href="/wiki/Newton_(enhet)" title="Newton (enhet)">newton</a> (N)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ljusfl%C3%B6de" title="Ljusflöde">Ljusflöde</a>: <a href="/wiki/Lumen_(enhet)" title="Lumen (enhet)">lumen</a> (lm)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Magnetiskt_fl%C3%B6de" class="mw-redirect" title="Magnetiskt flöde">Magnetiskt flöde</a>: <a href="/wiki/Weber_(enhet)" title="Weber (enhet)">weber</a> (Wb)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Magnetisk_fl%C3%B6dest%C3%A4thet" class="mw-redirect" title="Magnetisk flödestäthet">Magnetisk flödestäthet</a>: <a href="/wiki/Tesla_(enhet)" title="Tesla (enhet)">tesla</a> (T)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mekanisk_sp%C3%A4nning" title="Mekanisk spänning">Mekanisk spänning</a> och <a href="/wiki/Tryck" title="Tryck">tryck</a>: <a href="/wiki/Pascal_(enhet)" title="Pascal (enhet)">pascal</a> (Pa)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Resistans" title="Resistans">Resistans</a>: <a href="/wiki/Ohm" title="Ohm">ohm</a> (Ω)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Rymdvinkel" title="Rymdvinkel">Rymdvinkel</a>: <a class="mw-selflink selflink">steradian</a> (sr)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Vinkel" title="Vinkel">Vinkel</a>: <a href="/wiki/Radian" title="Radian">radian</a> (rad)</span></li></ul> </div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-prefix" title="SI-prefix">SI-prefix</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-odd"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Quetta_(SI-prefix)" title="Quetta (SI-prefix)">Quetta</a> (Q)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ronna_(SI-prefix)" title="Ronna (SI-prefix)">Ronna</a> (R)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Yotta" title="Yotta">Yotta</a> (Y)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Zetta" title="Zetta">Zetta</a> (Z)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Exa" title="Exa">Exa</a> (E)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Peta" title="Peta">Peta</a> (P)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Tera" title="Tera">Tera</a> (T)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Giga" title="Giga">Giga</a> (G)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mega" title="Mega">Mega</a> (M)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kilo" title="Kilo">Kilo</a> (k)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Hekto" title="Hekto">Hekto</a> (h)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Deka" title="Deka">Deka</a> (da)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Deci" title="Deci">Deci</a> (d)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Centi" title="Centi">Centi</a> (c)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Milli" title="Milli">Milli</a> (m)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mikro" title="Mikro">Mikro</a> (µ)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Nano" title="Nano">Nano</a> (n)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Piko" title="Piko">Piko</a> (p)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Femto" title="Femto">Femto</a> (f)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Atto" title="Atto">Atto</a> (a)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Zepto" title="Zepto">Zepto</a> (z)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Yokto" title="Yokto">Yokto</a> (y)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ronto" title="Ronto">Ronto</a> (r)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Quekto" title="Quekto">Quekto</a> (q)</span></li></ul> </div></div></td></tr></tbody></table></td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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