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aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Izgled</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" lang="sh-Latn" dir="ltr"> <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" lang="sh-Latn" dir="ltr"> <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_sh.wikipedia.org&uselang=sh" class=""><span>Donacije</span></a> 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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sh.wikipedia.org&uselang=sh"><span>Donacije</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Stvori_ra%C4%8Dun&returnto=Krug" title="Preporučujemo da izradite račun i prijavite se, ali to nije obavezno"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Izradi račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Korisni%C4%8Dka_prijava&returnto=Krug" title="Preporučujemo da se prijavite, ali to nije obavezno [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijavi me</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div 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class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <h1 id="firstHeading" class="firstHeading mw-first-heading" lang="sh-Latn" dir="ltr"><span class="mw-page-title-main">Krug</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" lang="sh-Latn" dir="ltr"> <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="Prijedi na druge jezične varijante članka. Dostupno je na 59 jezika" > <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-59" 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">59 jezika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Cerclo" title="Cerclo — Aragonežanski" lang="an" hreflang="an" data-title="Cerclo" data-language-autonym="Aragonés" data-language-local-name="Aragonežanski" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%B1%D8%B5_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="قرص (رياضيات) — Arapski" lang="ar" hreflang="ar" data-title="قرص (رياضيات)" data-language-autonym="العربية" data-language-local-name="Arapski" 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/C%C3%ADrculu" title="Círculu — Asturijski" lang="ast" hreflang="ast" data-title="Círculu" data-language-autonym="Asturianu" data-language-local-name="Asturijski" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Dair%C9%99" title="Dairə — Azerbejdžanski" lang="az" hreflang="az" data-title="Dairə" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbejdžanski" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%86%D8%A6%D9%88%D8%B1%D9%87" title="چئوره — South Azerbaijani" lang="azb" hreflang="azb" data-title="چئوره" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг — Beloruski" lang="be" hreflang="be" data-title="Круг" data-language-autonym="Беларуская" data-language-local-name="Beloruski" 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%9A%D1%80%D1%83%D0%B3" title="Круг — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Круг" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Krug" title="Krug — Bosanski" lang="bs" hreflang="bs" data-title="Krug" data-language-autonym="Bosanski" data-language-local-name="Bosanski" 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/Cercle" title="Cercle — Katalonski" lang="ca" hreflang="ca" data-title="Cercle" data-language-autonym="Català" data-language-local-name="Katalonski" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kruh" title="Kruh — Češki" lang="cs" hreflang="cs" data-title="Kruh" data-language-autonym="Čeština" data-language-local-name="Češki" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%9A%D1%80%D1%AB%D0%B3%D1%8A" title="Крѫгъ — Staroslovenski" lang="cu" hreflang="cu" data-title="Крѫгъ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="Staroslovenski" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%C3%87%D0%B0%D0%B2%D1%80%D0%B0%D1%88%D0%BA%D0%B0" title="Çаврашка — Čuvaški" lang="cv" hreflang="cv" data-title="Çаврашка" data-language-autonym="Чӑвашла" data-language-local-name="Čuvaški" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Kreisscheibe" title="Kreisscheibe — Nemački" lang="de" hreflang="de" data-title="Kreisscheibe" data-language-autonym="Deutsch" data-language-local-name="Nemački" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CE%AF%CF%83%CE%BA%CE%BF%CF%82_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Δίσκος (γεωμετρία) — Grčki" lang="el" hreflang="el" data-title="Δίσκος (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="Grčki" 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/Disk_(mathematics)" title="Disk (mathematics) — Engleski" lang="en" hreflang="en" data-title="Disk (mathematics)" data-language-autonym="English" data-language-local-name="Engleski" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Disko_(matematiko)" title="Disko (matematiko) — Esperanto" lang="eo" hreflang="eo" data-title="Disko (matematiko)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Disco_(topolog%C3%ADa)" title="Disco (topología) — Španski" lang="es" hreflang="es" data-title="Disco (topología)" data-language-autonym="Español" data-language-local-name="Španski" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ring" title="Ring — Estonski" lang="et" hreflang="et" data-title="Ring" data-language-autonym="Eesti" data-language-local-name="Estonski" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%82%D8%B1%D8%B5_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="قرص (ریاضی) — Persijski" lang="fa" hreflang="fa" data-title="قرص (ریاضی)" data-language-autonym="فارسی" data-language-local-name="Persijski" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kiekko_(matematiikka)" title="Kiekko (matematiikka) — Finski" lang="fi" hreflang="fi" data-title="Kiekko (matematiikka)" data-language-autonym="Suomi" data-language-local-name="Finski" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Ts%C3%B5%C3%B5r_(geomeetri%C3%A4)" title="Tsõõr (geomeetriä) — Võro" lang="vro" hreflang="vro" data-title="Tsõõr (geomeetriä)" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Disque_(g%C3%A9om%C3%A9trie)" title="Disque (géométrie) — Francuski" lang="fr" hreflang="fr" data-title="Disque (géométrie)" data-language-autonym="Français" data-language-local-name="Francuski" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/C%C3%ADrculo" title="Círculo — Galski" lang="gl" hreflang="gl" data-title="Círculo" data-language-autonym="Galego" data-language-local-name="Galski" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he badge-Q70894304 mw-list-item" title=""><a href="https://he.wikipedia.org/wiki/%D7%A2%D7%99%D7%92%D7%95%D7%9C" title="עיגול — Hebrejski" lang="he" hreflang="he" data-title="עיגול" data-language-autonym="עברית" data-language-local-name="Hebrejski" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Krug" title="Krug — Hrvatski" lang="hr" hreflang="hr" data-title="Krug" data-language-autonym="Hrvatski" data-language-local-name="Hrvatski" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Wou_(mekanik)" title="Wou (mekanik) — Haićanski" lang="ht" hreflang="ht" data-title="Wou (mekanik)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haićanski" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%87%D6%80%D5%BB%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="Շրջան (երկրաչափություն) — Jermenski" lang="hy" hreflang="hy" data-title="Շրջան (երկրաչափություն)" data-language-autonym="Հայերեն" data-language-local-name="Jermenski" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Cakram_(matematika)" title="Cakram (matematika) — Indonezijski" lang="id" hreflang="id" data-title="Cakram (matematika)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonezijski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Cerchio" title="Cerchio — Italijanski" lang="it" hreflang="it" data-title="Cerchio" data-language-autonym="Italiano" data-language-local-name="Italijanski" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%86%86%E6%9D%BF" title="円板 — Japanski" lang="ja" hreflang="ja" data-title="円板" data-language-autonym="日本語" data-language-local-name="Japanski" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%AC%E1%83%A0%E1%83%94" title="წრე — Gruzijski" lang="ka" hreflang="ka" data-title="წრე" data-language-autonym="ქართული" data-language-local-name="Gruzijski" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9B%90%ED%8C%90" title="원판 — Korejski" lang="ko" hreflang="ko" data-title="원판" data-language-autonym="한국어" data-language-local-name="Korejski" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Skritulys" title="Skritulys — Litvanski" lang="lt" hreflang="lt" data-title="Skritulys" data-language-autonym="Lietuvių" data-language-local-name="Litvanski" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Ri%C5%86%C4%B7is" title="Riņķis — Letonski" lang="lv" hreflang="lv" data-title="Riņķis" data-language-autonym="Latviešu" data-language-local-name="Letonski" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%A8%D0%B0%D1%80%D0%BA%D1%81%D1%81%D1%8C" title="Шаркссь — Mokša" lang="mdf" hreflang="mdf" data-title="Шаркссь" data-language-autonym="Мокшень" data-language-local-name="Mokša" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Kapila_(je%C3%B4metria)" title="Kapila (jeômetria) — Malagazijski" lang="mg" hreflang="mg" data-title="Kapila (jeômetria)" data-language-autonym="Malagasy" data-language-local-name="Malagazijski" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%A2%D1%8B%D1%80%D1%82%D1%8B%D1%88_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5)" title="Тыртыш (математике) — Eastern Mari" lang="mhr" hreflang="mhr" data-title="Тыртыш (математике)" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг — Makedonski" lang="mk" hreflang="mk" data-title="Круг" data-language-autonym="Македонски" data-language-local-name="Makedonski" 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%B8%E0%B5%8D%E0%B4%95%E0%B5%8D_(%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%B6%E0%B4%BE%E0%B4%B8%E0%B5%8D%E0%B4%A4%E0%B5%8D%E0%B4%B0%E0%B4%82)" title="ഡിസ്ക് (ഗണിതശാസ്ത്രം) — Malajalam" lang="ml" hreflang="ml" data-title="ഡിസ്ക് (ഗണിതശാസ്ത്രം)" data-language-autonym="മലയാളം" data-language-local-name="Malajalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%9A%D0%B8%D1%80%D1%8C%D0%BA%D1%81" title="Кирькс — Erzija" lang="myv" hreflang="myv" data-title="Кирькс" data-language-autonym="Эрзянь" data-language-local-name="Erzija" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Schijf_(wiskunde)" title="Schijf (wiskunde) — Holandski" lang="nl" hreflang="nl" data-title="Schijf (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="Holandski" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Disk_(matematikk)" title="Disk (matematikk) — Norveški bokmål" lang="nb" hreflang="nb" data-title="Disk (matematikk)" data-language-autonym="Norsk bokmål" data-language-local-name="Norveški bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Ko%C5%82o" title="Koło — Poljski" lang="pl" hreflang="pl" data-title="Koło" data-language-autonym="Polski" data-language-local-name="Poljski" 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/C%C3%ADrculo" title="Círculo — Portugalski" lang="pt" hreflang="pt" data-title="Círculo" data-language-autonym="Português" data-language-local-name="Portugalski" 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/Disc_(geometrie)" title="Disc (geometrie) — Rumunski" lang="ro" hreflang="ro" data-title="Disc (geometrie)" data-language-autonym="Română" data-language-local-name="Rumunski" 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%9A%D1%80%D1%83%D0%B3" title="Круг — Ruski" lang="ru" hreflang="ru" data-title="Круг" data-language-autonym="Русский" data-language-local-name="Ruski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%A2%D3%A9%D0%B3%D2%AF%D1%80%D2%AF%D0%BA" title="Төгүрүк — Jakut" lang="sah" hreflang="sah" data-title="Төгүрүк" data-language-autonym="Саха тыла" data-language-local-name="Jakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kruh" title="Kruh — Slovački" lang="sk" hreflang="sk" data-title="Kruh" data-language-autonym="Slovenčina" data-language-local-name="Slovački" 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/Krog" title="Krog — Slovenački" lang="sl" hreflang="sl" data-title="Krog" data-language-autonym="Slovenščina" data-language-local-name="Slovenački" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Qarku_(matematik%C3%AB)" title="Qarku (matematikë) — Albanski" lang="sq" hreflang="sq" data-title="Qarku (matematikë)" data-language-autonym="Shqip" data-language-local-name="Albanski" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг — Srpski" lang="sr" hreflang="sr" data-title="Круг" data-language-autonym="Српски / srpski" data-language-local-name="Srpski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Cirkelskiva" title="Cirkelskiva — Švedski" lang="sv" hreflang="sv" data-title="Cirkelskiva" data-language-autonym="Svenska" data-language-local-name="Švedski" 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%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AF%81_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="வட்டு (கணிதம்) — Tamilski" lang="ta" hreflang="ta" data-title="வட்டு (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="Tamilski" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Daire" title="Daire — Turski" lang="tr" hreflang="tr" data-title="Daire" data-language-autonym="Türkçe" data-language-local-name="Turski" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A2%D2%AF%D0%B3%D3%99%D1%80%D3%99%D0%BA" title="Түгәрәк — Tatarski" lang="tt" hreflang="tt" data-title="Түгәрәк" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatarski" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг — Ukrajinski" lang="uk" hreflang="uk" data-title="Круг" data-language-autonym="Українська" data-language-local-name="Ukrajinski" 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mw-portlet-coll-print_export" lang="sh-Latn" dir="ltr"> <div class="vector-menu-heading"> Štampanje/izvoz </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=Posebno:Kolekcija&bookcmd=book_creator&referer=Krug"><span>Napravi knjigu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&page=Krug&action=show-download-screen"><span>Preuzmi kao PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Krug&printable=yes" title="Odštampajte ovu stranicu [p]" accesskey="p"><span>Odštampaj</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" lang="sh-Latn" dir="ltr"> <div class="vector-menu-heading"> Na drugim projektima </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:Discs" hreflang="en"><span>Wikimedia 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/Q238231" title="Pogledajte povezanu stavku u skladištu podataka [g]" accesskey="g"><span>Stavka na Wikipodacima</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="Pomagala"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izgled"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Izgled</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">premjesti na bočnu traku</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">sakrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" 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">Izvor: Wikipedija</div> </div> <div id="contentSub" lang="sh-Latn" dir="ltr"><div id="mw-content-subtitle" lang="sh-Latn" dir="ltr"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sh-Latn" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Conic_Sections.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Conic_Sections.svg/langsh-220px-Conic_Sections.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Conic_Sections.svg/langsh-330px-Conic_Sections.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Conic_Sections.svg/langsh-440px-Conic_Sections.svg.png 2x" data-file-width="512" data-file-height="512" /></a><figcaption>Vrste konusnih presjeka (kružnica, <a href="/wiki/Elipsa" title="Elipsa">elipsa</a>, <a href="/wiki/Parabola" title="Parabola">parabola</a> i <a href="/wiki/Hiperbola" title="Hiperbola">hiperbola</a>)</figcaption></figure> <p><b>Krug</b> u <a href="/wiki/Geometrija" title="Geometrija">geometriji</a> predstavlja dio ravnine; skup točaka omeđen <a href="/wiki/Kru%C5%BEnica" title="Kružnica">kružnicom</a>. </p><p>Neka je X proizvoljna tačka ravni kružnice k(Or) različita od O. Poluprava OX siječe kružnicu u tački C. Tačka X može imati jedan i samo jedan položaj u odnosu na kružnicu. </p> <ol><li>X=C tj X pripada kružnicu</li> <li>OX<OC tj X je u kružnici</li> <li>OX>OC tj X je van kružnici</li></ol> <p>a samim tim ravan je podijeljena na 3 skupa kružnica k(O,r) tačke koje su u kružnici tačke koje su van kružnice Kružnica je periferija (rub) kruga k(O,r) </p> <dl><dt>Krug</dt> <dd></dd></dl> <p>Skup tačaka kružnice k(O,r) i leže u njoj tj uniju k(O,r)U U(O,r) nazivamo krug </p><p>Skup U(O,r) tačaka u kružnici nazivamo unutrašnja oblast- otvoreni krug, a V(O,r) vanjska oblast kruga </p> <dl><dt>Kružni isječak</dt> <dd></dd></dl> <p>Presjek kruga i centralnog ugla nazivamo kružni isječak. </p> <dl><dt>Kružni isječak</dt> <dd></dd></dl> <p>Presjek kruga i poluravni naziva se kružni odsječak (segment). </p><p>Isječak je omeđen lukom i poluprečnicima OA i OB. Dvije poluprave sa početkom u centru kruga određuju dva isječka. Ako je centralni ugao ravan ugao onda je isječak polukružnica. Svaka prava određuje dvije poluravni, odnosno svaka čiji presjek sa krugom nije prazan skup ili nije tačka o dređuje dva kružna odsječka. Polukrug je odsječak i isječak </p><p>Za krugovi koji imaju isti centar kažemo da su koncentrični. </p><p>Razlika kruga i njemu koncentričnog kruga nazivamo kružni prsten. </p><p>Presjek kružnog prstena i centralnog ugla je isječak kružnog prstena </p><p><br /> U <a href="/wiki/Dekart" class="mw-redirect" title="Dekart">Dekartovom</a> <a href="/wiki/Koordinatni_sistem" class="mw-disambig" title="Koordinatni sistem">koordinatnom sistemu</a>, krug sa centrom (<i>p</i>, <i>q</i>) i poluprečnikom <i>r</i> ima jednačinu </p> <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 \left(x-p\right)^{2}+\left(y-q\right)^{2}=r^{2}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mo>−</mo> <mi>p</mi> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow> <mi>y</mi> <mo>−</mo> <mi>q</mi> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(x-p\right)^{2}+\left(y-q\right)^{2}=r^{2}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b477459ae600c5aebb640063015aef32131dacf0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.821ex; height:3.343ex;" alt="{\displaystyle \left(x-p\right)^{2}+\left(y-q\right)^{2}=r^{2}.}"></span></dd></dl> <p>Ako je krug sa centrom u <a href="/w/index.php?title=Koordinatni_po%C4%8Detak&action=edit&redlink=1" class="new" title="Koordinatni početak (stranica ne postoji)">koordinatnom početku</a>, tj. (0, 0), onda ova jednačina glasi </p> <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 x^{2}+y^{2}=r^{2}.\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+y^{2}=r^{2}.\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f402d2e11ea47c687fec648c3d31dade227a42a3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.674ex; height:3.009ex;" alt="{\displaystyle x^{2}+y^{2}=r^{2}.\,}"></span></dd></dl> <p>POVRSINA: 2 r π <a href="/wiki/Jedini%C4%8Dni_krug" title="Jedinični krug">Jedinični krug</a> Krug je krug sa centrom u koordinatnom početku i poluprečnikom 1 </p><p>U <a href="/w/index.php?title=Polarna_koordinata&action=edit&redlink=1" class="new" title="Polarna koordinata (stranica ne postoji)">polarnim koordinatama</a> ona glasi: </p> <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 x=p+r\cdot cos(\phi )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mi>p</mi> <mo>+</mo> <mi>r</mi> <mo>⋅</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mo stretchy="false">(</mo> <mi>ϕ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=p+r\cdot cos(\phi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5f4a2b7e41f430e04f94436aa1e19c7b2457fed5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.585ex; height:2.843ex;" alt="{\displaystyle x=p+r\cdot cos(\phi )}"></span><br /></dd> <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 y=q+r\cdot sin(\phi )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>q</mi> <mo>+</mo> <mi>r</mi> <mo>⋅</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mo stretchy="false">(</mo> <mi>ϕ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=q+r\cdot sin(\phi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8278168319c8081d4a21c26a59aa62451a56a6d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.374ex; height:2.843ex;" alt="{\displaystyle y=q+r\cdot sin(\phi )}"></span>.<br /></dd></dl> <p>Jednačina nagiba kruga glasi </p> <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 y'=-{\frac {x}{y}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>y</mi> <mo>′</mo> </msup> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>y</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y'=-{\frac {x}{y}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/296e4bf8a5eb2498ea2297cd8faa8a4197128e88" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:9.564ex; height:5.176ex;" alt="{\displaystyle y'=-{\frac {x}{y}}.}"></span></dd></dl> <p>Obim kruga i njegov poluprečnik su proporcionalnu. </p><p>Površina i kvadrat poluprečnika su propporcionalni. </p> <ul><li>Obim kružnice O= <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 2\pi r.\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>r</mi> <mo>.</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi r.\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5dfb8dc5c2515865b192454e42cadacb461d2adc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.577ex; height:2.176ex;" alt="{\displaystyle 2\pi r.\,}"></span></li> <li>Površina kruga P= <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 \pi r^{2}.\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}.\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7cf31b7ddd014809a1360bf4eed78d07122bf2be" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.469ex; height:2.676ex;" alt="{\displaystyle \pi r^{2}.\,}"></span></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="" lang="sh-Latn" dir="ltr">Izvor: <a dir="ltr" href="https://sh.wikipedia.org/w/index.php?title=Krug&oldid=41567441">https://sh.wikipedia.org/w/index.php?title=Krug&oldid=41567441</a></div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Posebno:Kategorije" title="Posebno:Kategorije">Kategorija</a>: <ul><li><a href="/wiki/Kategorija:Geometrija" title="Kategorija:Geometrija">Geometrija</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" lang="sh-Latn" dir="ltr"> <ul id="footer-info"> <li id="footer-info-lastmod"> Ova stranica je posljednji put izmijenjena 24. septembra 2023. u 02:45.</li> <li id="footer-info-copyright">Tekst je dostupan pod licencom <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-ShareAlike</a>; 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