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Circonferéncia — Wikipèdia
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data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Menut principal/Menut principau</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mòu a la barra laterala</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">Escondre</button> </div> <div id="p-Navigacion" class="vector-menu mw-portlet mw-portlet-Navigacion" > <div class="vector-menu-heading"> Navigacion </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-Acuèlh" class="mw-list-item"><a href="/wiki/Acu%C3%A8lh"><span>Acuèlh</span></a></li><li id="n-La-tavèrna" class="mw-list-item"><a href="/wiki/Wikip%C3%A8dia:La_tav%C3%A8rna"><span>La tavèrna</span></a></li><li id="n-thema" class="mw-list-item"><a href="/wiki/Portal:Acu%C3%A8lh"><span>Portals tematics</span></a></li><li id="n-alphindex" class="mw-list-item"><a href="/wiki/Especial:Totas_las_paginas"><span>Indèx alfabetic</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Especial:Pagina_a_l%27azard" title="Afichar una pagina a l'azard [x]" accesskey="x"><span>Una pagina a l'azard</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Contact-url"><span>contact</span></a></li> </ul> </div> </div> <div id="p-Contribuir" class="vector-menu mw-portlet mw-portlet-Contribuir" > <div class="vector-menu-heading"> Contribuir </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Ajuda:Somari" title="L'endrech per s'assabentar."><span>Ajuda</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikip%C3%A8dia:Acu%C3%A8lh" title="A prepaus del projècte, çò que podètz far, ont trobar d'informacions"><span>Comunautat</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:Darri%C3%A8rs_cambiaments" title="Lista dels darrièrs cambiaments sul wiki [r]" accesskey="r"><span>Darrièrs cambiaments</span></a></li><li id="n-aboutwp" class="mw-list-item"><a href="/wiki/Wikip%C3%A8dia:Acu%C3%A8lh_dels_nov%C3%A8ls_venguts"><span>Acuèlh dels novèls venguts</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Acu%C3%A8lh" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipèdia" src="/static/images/mobile/copyright/wikipedia-wordmark-oc.svg" style="width: 7.5em; height: 1.1875em;"> <img class="mw-logo-tagline" alt="l'enciclopèdia liura" src="/static/images/mobile/copyright/wikipedia-tagline-oc.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div 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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_oc.wikipedia.org&uselang=oc" class=""><span>Far un don</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=Especial:Crear_un_compte&returnto=Circonfer%C3%A9ncia&returntoquery=oldid%3D1330293" title="Vos es conselhat de crear un compte e de vos connectar ; pasmens, es pas obligatòri" class=""><span>Crear un compte</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item 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[o]" accesskey="o" class=""><span>Se connectar</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="Més opcions" > <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="Aisinas personalas" > <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">Aisinas personalas</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menú d'usuari" > <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_oc.wikipedia.org&uselang=oc"><span>Far un don</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crear_un_compte&returnto=Circonfer%C3%A9ncia&returntoquery=oldid%3D1330293" title="Vos es conselhat de crear un compte e de vos connectar ; pasmens, es pas obligatòri"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crear un compte</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Nom_d%27utilizaire&returnto=Circonfer%C3%A9ncia&returntoquery=oldid%3D1330293" title="Sètz convidat(ada) a vos identificar, mas es pas obligatòri. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Se connectar</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"> Pàgines per a editors no registrats <a href="/wiki/Ajuda:Introducci%C3%B3" aria-label="Vegeu més informació sobre l'edició"><span>més informació</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/Especial:Mas_contribucions" title="Una llista de les modificacions fetes des d'aquesta adreça IP [y]" accesskey="y"><span>Contribucions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:Mas_discussions" title="La pagina de discussion per aquesta adreça IP [n]" accesskey="n"><span>Discussion</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"><!-- CentralNotice --></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="Lloc"> <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="Somari" 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">Somari</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mòu a la barra laterala</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">Escondre</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">Començament</div> </a> </li> <li id="toc-Circonferéncia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Circonferéncia"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Circonferéncia</span> </div> </a> <button aria-controls="toc-Circonferéncia-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Commuta la subsecció Circonferéncia</span> </button> <ul id="toc-Circonferéncia-sublist" class="vector-toc-list"> <li id="toc-Cercle" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Cercle"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Cercle</span> </div> </a> <ul id="toc-Cercle-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ellipsa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ellipsa"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Ellipsa</span> </div> </a> <ul id="toc-Ellipsa-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Articles_connexes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Articles_connexes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Articles connexes</span> </div> </a> <ul id="toc-Articles_connexes-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="Somari" 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="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Circonferéncia</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="Vés a un article en una altra llengua. Disponible en 49 llengües" > <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-49" 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">49 lengas</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/Circumferencia" title="Circumferencia - aragonés" lang="an" hreflang="an" data-title="Circumferencia" data-language-autonym="Aragonés" data-language-local-name="aragonés" 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%85%D8%AD%D9%8A%D8%B7_%D9%85%D9%86%D8%AD%D9%86%D9%89_%D9%85%D8%BA%D9%84%D9%82" title="محيط منحنى مغلق - arabi" lang="ar" hreflang="ar" data-title="محيط منحنى مغلق" data-language-autonym="العربية" data-language-local-name="arabi" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AA%E0%A7%B0%E0%A6%BF%E0%A6%A7%E0%A6%BF" title="পৰিধি - assamès" lang="as" hreflang="as" data-title="পৰিধি" data-language-autonym="অসমীয়া" data-language-local-name="assamès" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Circunferencia" title="Circunferencia - asturian" lang="ast" hreflang="ast" data-title="Circunferencia" data-language-autonym="Asturianu" data-language-local-name="asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B8%D0%BA%D0%BE%D0%BB%D0%BA%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Обиколка (геометрия) - bulgar" lang="bg" hreflang="bg" data-title="Обиколка (геометрия)" data-language-autonym="Български" data-language-local-name="bulgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%A7%E0%A6%BF" title="পরিধি - bengalin" lang="bn" hreflang="bn" data-title="পরিধি" data-language-autonym="বাংলা" data-language-local-name="bengalin" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cylchedd" title="Cylchedd - gal·lès" lang="cy" hreflang="cy" data-title="Cylchedd" data-language-autonym="Cymraeg" data-language-local-name="gal·lès" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Kreisumfang" title="Kreisumfang - alemand" lang="de" hreflang="de" data-title="Kreisumfang" data-language-autonym="Deutsch" data-language-local-name="alemand" 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%A0%CE%B5%CF%81%CE%B9%CF%86%CE%AD%CF%81%CE%B5%CE%B9%CE%B1_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Περιφέρεια (γεωμετρία) - grèc" lang="el" hreflang="el" data-title="Περιφέρεια (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="grèc" 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/Circumference" title="Circumference - anglés" lang="en" hreflang="en" data-title="Circumference" data-language-autonym="English" data-language-local-name="anglés" 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/Circunferencia" title="Circunferencia - espanhòl" lang="es" hreflang="es" data-title="Circunferencia" data-language-autonym="Español" data-language-local-name="espanhòl" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zirkunferentzia" title="Zirkunferentzia - basc" lang="eu" hreflang="eu" data-title="Zirkunferentzia" data-language-autonym="Euskara" data-language-local-name="basc" 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/%D9%BE%DB%8C%D8%B1%D8%A7%D9%85%D9%88%D9%86_%DB%8C%DA%A9_%D8%AE%D9%85_%D8%A8%D8%B3%D8%AA%D9%87" title="پیرامون یک خم بسته - perse" lang="fa" hreflang="fa" data-title="پیرامون یک خم بسته" data-language-autonym="فارسی" data-language-local-name="perse" 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/Keh%C3%A4_(geometria)" title="Kehä (geometria) - finlandés" lang="fi" hreflang="fi" data-title="Kehä (geometria)" data-language-autonym="Suomi" data-language-local-name="finlandés" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Circonf%C3%A9rence" title="Circonférence - francés" lang="fr" hreflang="fr" data-title="Circonférence" data-language-autonym="Français" data-language-local-name="francés" 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/Iml%C3%ADne" title="Imlíne - irlandés" lang="ga" hreflang="ga" data-title="Imlíne" data-language-autonym="Gaeilge" data-language-local-name="irlandés" 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/Circunferencia" title="Circunferencia - galician" lang="gl" hreflang="gl" data-title="Circunferencia" data-language-autonym="Galego" data-language-local-name="galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B5%E0%AA%B0%E0%AB%8D%E0%AA%A4%E0%AB%81%E0%AA%B3%E0%AA%A8%E0%AB%8B_%E0%AA%AA%E0%AA%B0%E0%AA%BF%E0%AA%98" title="વર્તુળનો પરિઘ - gujarati" lang="gu" hreflang="gu" data-title="વર્તુળનો પરિઘ" data-language-autonym="ગુજરાતી" data-language-local-name="gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="परिधि - Indi" lang="hi" hreflang="hi" data-title="परिधि" data-language-autonym="हिन्दी" data-language-local-name="Indi" class="interlanguage-link-target"><span>हिन्दी</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%A1%D5%A3%D5%AE%D5%AB_%D5%A5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Շրջանագծի երկարություն - armèni" lang="hy" hreflang="hy" data-title="Շրջանագծի երկարություն" data-language-autonym="Հայերեն" data-language-local-name="armèni" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Circumferentia" title="Circumferentia - interlingua" lang="ia" hreflang="ia" data-title="Circumferentia" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Keliling_lingkaran" title="Keliling lingkaran - indonesian" lang="id" hreflang="id" data-title="Keliling lingkaran" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Umm%C3%A1l" title="Ummál - islandés" lang="is" hreflang="is" data-title="Ummál" data-language-autonym="Íslenska" data-language-local-name="islandés" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Circonferenza" title="Circonferenza - italian" lang="it" hreflang="it" data-title="Circonferenza" data-language-autonym="Italiano" data-language-local-name="italian" 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%91%A8%E9%95%B7" title="周長 - japonés" lang="ja" hreflang="ja" data-title="周長" data-language-autonym="日本語" data-language-local-name="japonés" 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%9B%E1%83%9D%E1%83%AA%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%91%E1%83%90" title="მოცულობა - georgian" lang="ka" hreflang="ka" data-title="მოცულობა" data-language-autonym="ქართული" data-language-local-name="georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tase%C9%A3leyt" title="Taseɣleyt - cabil" lang="kab" hreflang="kab" data-title="Taseɣleyt" data-language-autonym="Taqbaylit" data-language-local-name="cabil" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AA%E0%B2%B0%E0%B2%BF%E0%B2%A7%E0%B2%BF" title="ಪರಿಧಿ - kannada" lang="kn" hreflang="kn" data-title="ಪರಿಧಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9B%90%EB%91%98%EB%A0%88" title="원둘레 - corean" lang="ko" hreflang="ko" data-title="원둘레" data-language-autonym="한국어" data-language-local-name="corean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Circumferentia" title="Circumferentia - latin" lang="la" hreflang="la" data-title="Circumferentia" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Obwetoloovu_(Circumference)" title="Obwetoloovu (Circumference) - ganda" lang="lg" hreflang="lg" data-title="Obwetoloovu (Circumference)" data-language-autonym="Luganda" data-language-local-name="ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Apskritimo_ilgis" title="Apskritimo ilgis - lituan" lang="lt" hreflang="lt" data-title="Apskritimo ilgis" data-language-autonym="Lietuvių" data-language-local-name="lituan" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B8%D0%BA%D0%BE%D0%BB%D0%BA%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Обиколка (геометрија) - macedonian" lang="mk" hreflang="mk" data-title="Обиколка (геометрија)" data-language-autonym="Македонски" data-language-local-name="macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A5%80%E0%A4%98" title="परीघ - marathi" lang="mr" hreflang="mr" data-title="परीघ" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Sirconferensa" title="Sirconferensa - piemontès" lang="pms" hreflang="pms" data-title="Sirconferensa" data-language-autonym="Piemontèis" data-language-local-name="piemontès" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Circunfer%C3%AAncia" title="Circunferência - portugués" lang="pt" hreflang="pt" data-title="Circunferência" data-language-autonym="Português" data-language-local-name="portugués" 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/Circumferin%C8%9B%C4%83" title="Circumferință - romanés" lang="ro" hreflang="ro" data-title="Circumferință" data-language-autonym="Română" data-language-local-name="romanés" 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%94%D0%BB%D0%B8%D0%BD%D0%B0_%D0%BE%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Длина окружности - rus" lang="ru" hreflang="ru" data-title="Длина окружности" data-language-autonym="Русский" data-language-local-name="rus" 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/C%C3%ACrcunfirenza_(giometr%C3%ACa)" title="Cìrcunfirenza (giometrìa) - sicilian" lang="scn" hreflang="scn" data-title="Cìrcunfirenza (giometrìa)" data-language-autonym="Sicilianu" data-language-local-name="sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Circumference" title="Circumference - Simple English" lang="en-simple" hreflang="en-simple" data-title="Circumference" 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-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Mzingo" title="Mzingo - swahili" lang="sw" hreflang="sw" data-title="Mzingo" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%AA%E0%B9%89%E0%B8%99%E0%B8%A3%E0%B8%AD%E0%B8%9A%E0%B8%A7%E0%B8%87" title="เส้นรอบวง - tai" lang="th" hreflang="th" data-title="เส้นรอบวง" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Sirkumperensiya" title="Sirkumperensiya - tagal" lang="tl" hreflang="tl" data-title="Sirkumperensiya" data-language-autonym="Tagalog" data-language-local-name="tagal" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%87evre_(geometri)" title="Çevre (geometri) - turc" lang="tr" hreflang="tr" data-title="Çevre (geometri)" data-language-autonym="Türkçe" data-language-local-name="turc" 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%9E%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D1%96%D1%81%D1%82%D1%8C" title="Окружність - ucrainés" lang="uk" hreflang="uk" data-title="Окружність" data-language-autonym="Українська" data-language-local-name="ucrainés" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Chu_vi_h%C3%ACnh_tr%C3%B2n" title="Chu vi hình tròn - vietnamian" lang="vi" hreflang="vi" data-title="Chu vi hình tròn" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamian" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Hopluenz" title="Hopluenz - 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class="vector-menu-heading"> Imprimir / exportar </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=Especial:Libre&bookcmd=book_creator&referer=Circonfer%C3%A9ncia"><span>Crear un libre</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Circonfer%C3%A9ncia&printable=yes" title="Version imprimibla d'aquesta pagina [p]" accesskey="p"><span>Version imprimibla</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"> Dins d'autres projèctes </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q843905" title="Ligam cap a l’element de referencial de las donadas connectadas [g]" accesskey="g"><span>Element Wikidata</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="Eines de la pàgina"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aparença"> <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">Aparença</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mòu a la barra laterala</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">Escondre</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">Un article de Wikipèdia, l'enciclopèdia liura.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><div class="cdx-message cdx-message--block cdx-message--warning mw-revision"><span class="cdx-message__icon"></span><div class="cdx-message__content"><div id="mw-revision-info">Version del 23 abril de 2012 a 07.49 per <a href="/wiki/Utilizaire:Ricou31" class="mw-userlink" title="Utilizaire:Ricou31" data-mw-revid="1330293"><bdi>Ricou31</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Discussion_Utilizaire:Ricou31" class="mw-usertoollinks-talk" title="Discussion Utilizaire:Ricou31">discussion</a> | <a href="/wiki/Especial:Contribucions/Ricou31" class="mw-usertoollinks-contribs" title="Especial:Contribucions/Ricou31">contribucions</a>)</span></div><div id="mw-revision-nav">(dif) ← Version precedenta | <a href="/wiki/Circonfer%C3%A9ncia" title="Circonferéncia">vejatz la version correnta</a> (<a href="/w/index.php?title=Circonfer%C3%A9ncia&diff=cur&oldid=1330293" title="Circonferéncia">dif</a>) | <a href="/w/index.php?title=Circonfer%C3%A9ncia&direction=next&oldid=1330293" title="Circonferéncia">Version seguenta →</a> (<a href="/w/index.php?title=Circonfer%C3%A9ncia&diff=next&oldid=1330293" title="Circonferéncia">dif</a>)</div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="oc" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Fichi%C3%A8r:Circle_-_black_simple.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/220px-Circle_-_black_simple.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/330px-Circle_-_black_simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/440px-Circle_-_black_simple.svg.png 2x" data-file-width="500" data-file-height="500" /></a><figcaption>En negre: un cercle</figcaption></figure> <p>La <b>circonferéncia</b> es una <a href="/w/index.php?title=Linha&action=edit&redlink=1" class="new" title="Linha (la pagina existís pas)">linha</a> <a href="/w/index.php?title=Corba&action=edit&redlink=1" class="new" title="Corba (la pagina existís pas)">corba</a> tancanda limitant una <a href="/wiki/Superf%C3%ADcia" class="mw-redirect mw-disambig" title="Superfícia">superfícia</a>. Es tanben la <a href="/w/index.php?title=Longor&action=edit&redlink=1" class="new" title="Longor (la pagina existís pas)">longor</a> d'aquela linha corba tancanda. </p><p>Circonferéncia es un <a href="/w/index.php?title=Sinonim&action=edit&redlink=1" class="new" title="Sinonim (la pagina existís pas)">sinonim</a> de <a href="/wiki/Perim%C3%A8tre" title="Perimètre">perimètre</a>, mas aquel darrièr a un sens mai general d'una lihna tancada de quina que siá forma (<a href="/wiki/Polig%C3%B2n" title="Poligòn">poligonala</a> o corba). </p><p>Lo mot « circonferéncia » es plan adaptat al cas d'un <a href="/w/index.php?title=Disc_(geometria)&action=edit&redlink=1" class="new" title="Disc (geometria) (la pagina existís pas)">disc</a>, o designa la longor del <a href="/wiki/Cercle" title="Cercle">cercle</a> que totes los punts se trapan a meteissa distancia d'un punt fixe nomenat centre. </p><p>La nocion de circonferéncia s'aplica tanben plan al cas vesin d'una <a href="/wiki/Ellipsa" title="Ellipsa">ellipsa</a> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Circonferéncia"><span id="Circonfer.C3.A9ncia"></span>Circonferéncia</h2></div> <p>La circonferéncia es la longor del trach geometric definissent lo <a href="/wiki/Cercle" title="Cercle">cercle</a> o l'<a href="/wiki/Ellipsa" title="Ellipsa">ellipsa</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Cercle">Cercle</h3></div> <p>S'obten la circonferéncia d'un cercle en multiplicant son <a href="/wiki/Diam%C3%A8tre" title="Diamètre">diamètre</a> pel nombre <a href="/wiki/Pi" title="Pi">π</a>: </p> <center><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 C=\pi \times D}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> <mi>π<!-- π --></mi> <mo>×<!-- × --></mo> <mi>D</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=\pi \times D}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0872d8eb8340bfa58921a8509e88bcf1dfcd9688" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.961ex; height:2.176ex;" alt="{\displaystyle C=\pi \times D}"></span></center> <p>S'utiliza la formula: </p> <center><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 C=2\times \pi \times R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> <mn>2</mn> <mo>×<!-- × --></mo> <mi>π<!-- π --></mi> <mo>×<!-- × --></mo> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=2\times \pi \times R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf7baec9d90a7b980e3cf8382a14e37d61e1a2fa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:14.804ex; height:2.176ex;" alt="{\displaystyle C=2\times \pi \times R}"></span></center> <center>que <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 R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> es lo <a href="/wiki/Rai_(geometria)" title="Rai (geometria)">rai</a> del cercle</center> <div class="mw-heading mw-heading3"><h3 id="Ellipsa">Ellipsa</h3></div> <center><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 C=\pi \times (Ra+Rb)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> <mi>π<!-- π --></mi> <mo>×<!-- × --></mo> <mo stretchy="false">(</mo> <mi>R</mi> <mi>a</mi> <mo>+</mo> <mi>R</mi> <mi>b</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=\pi \times (Ra+Rb)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51562259d9a2f0f5966a28147041aad17fbfc9a3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.442ex; height:2.843ex;" alt="{\displaystyle C=\pi \times (Ra+Rb)}"></span></center> <p>que <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 Ra}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Ra}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fbd8fb77c41431f6ae4b3e7d71d2a76855aead8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.994ex; height:2.176ex;" alt="{\displaystyle Ra}"></span> e <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 Rb}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Rb}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a59a0f3899d74f8e00182c63f266197f54330926" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.762ex; height:2.176ex;" alt="{\displaystyle Rb}"></span> son los <a href="/w/index.php?title=Rai_(geomatria)&action=edit&redlink=1" class="new" title="Rai (geomatria) (la pagina existís pas)">rais</a> (o miègaxes) de l'ellipsa, es una approximacion rasonable de la valor exacte, que demanda d'introduire de nòvas fonccions (las <a href="/w/index.php?title=Integrala_elliptica&action=edit&redlink=1" class="new" title="Integrala elliptica (la pagina existís pas)">integralas ellipticas</a>) </p> <div class="mw-heading mw-heading2"><h2 id="Articles_connexes">Articles connexes</h2></div> <ul><li><a href="/wiki/Perim%C3%A8tre" title="Perimètre">Perimètre</a></li> <li><a href="/wiki/Pi" title="Pi">Pi</a></li></ul> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐5c59558b9d‐d29c6 Cached time: 20241201060258 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.021 seconds Real time usage: 0.148 seconds Preprocessor visited node count: 60/1000000 Post‐expand include size: 0/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 2/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 216/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 0.000 1 -total --> <!-- Saved in RevisionOutputCache with key ocwiki:rcache:1330293:dateformat=default and timestamp 20241201060258 and revision id 1330293. --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; 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