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aria-label="विकिपीडिया में खोजें" autocapitalize="sentences" title="इस विकि में खोजें [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="विशेष:खोज"> </div> <button class="cdx-button cdx-search-input__end-button">खोजें</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="व्यक्तिगत उपकरण"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" 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-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="दिखावट"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="पृष्ठ के फ़ॉन्ट का आकार, चौड़ाई और रंग बदलें" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="दिखावट" > <label id="vector-appearance-dropdown-label" for="vector-appearance-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">दिखावट</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" > <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_hi.wikipedia.org&uselang=hi" class=""><span>दान करें</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=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है" class=""><span>खाता बनाएँ</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=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o" class=""><span>लॉग-इन करें</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="अन्य विकल्प" > <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="व्यक्तिगत उपकरण" > <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">व्यक्तिगत उपकरण</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <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_hi.wikipedia.org&uselang=hi"><span>दान करें</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>खाता बनाएँ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>लॉग-इन करें</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"> लॉग-आउट किए गए संपादकों के लिए पृष्ठ <a href="/wiki/%E0%A4%B8%E0%A4%B9%E0%A4%BE%E0%A4%AF%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%9A%E0%A4%AF" aria-label="संपादन के बारे में अधिक जानें"><span>अधिक जानें</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/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%87_%E0%A4%AF%E0%A5%8B%E0%A4%97%E0%A4%A6%E0%A4%BE%E0%A4%A8" title="इस आईपी पते से संपादन की सूची [y]" accesskey="y"><span>योगदान</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%80_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE" title="इस आईपी एड्रेससे हुए बदलावों के बारे में वार्ता [n]" accesskey="n"><span>वार्ता</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="साइट"> <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="सामग्री" 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">सामग्री</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">छुपाएँ</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">शुरुआत</div> </a> </li> <li id="toc-वृत्त_की_परिधि" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#वृत्त_की_परिधि"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>वृत्त की परिधि</span> </div> </a> <ul id="toc-वृत्त_की_परिधि-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-पाई_के_साथ_सम्बन्ध" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#पाई_के_साथ_सम्बन्ध"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>पाई के साथ सम्बन्ध</span> </div> </a> <ul id="toc-पाई_के_साथ_सम्बन्ध-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-सन्दर्भ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#सन्दर्भ"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>सन्दर्भ</span> </div> </a> <ul id="toc-सन्दर्भ-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="सामग्री" 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="विषयसूची को टॉगल करें" > <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">विषयसूची को टॉगल करें</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">परिधि</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="दूसरे भाषा में लेख पर जाएँ। 44 भाषाओं में उपलब्ध" > <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-44" 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">44 भाषाएँ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <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 – अरबी" lang="ar" hreflang="ar" data-title="محيط منحنى مغلق" data-language-autonym="العربية" data-language-local-name="अरबी" 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 – असमिया" lang="as" hreflang="as" data-title="পৰিধি" data-language-autonym="অসমীয়া" data-language-local-name="असमिया" class="interlanguage-link-target"><span>অসমীয়া</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" title="Обиколка – बुल्गारियाई" lang="bg" hreflang="bg" data-title="Обиколка" data-language-autonym="Български" data-language-local-name="बुल्गारियाई" 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 – बंगाली" lang="bn" hreflang="bn" data-title="পরিধি" data-language-autonym="বাংলা" data-language-local-name="बंगाली" 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 – वेल्श" lang="cy" hreflang="cy" data-title="Cylchedd" data-language-autonym="Cymraeg" data-language-local-name="वेल्श" 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 – जर्मन" lang="de" hreflang="de" data-title="Kreisumfang" data-language-autonym="Deutsch" data-language-local-name="जर्मन" 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) – यूनानी" lang="el" hreflang="el" data-title="Περιφέρεια (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="यूनानी" 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 – अंग्रेज़ी" lang="en" hreflang="en" data-title="Circumference" data-language-autonym="English" data-language-local-name="अंग्रेज़ी" 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 – स्पेनिश" lang="es" hreflang="es" data-title="Circunferencia" data-language-autonym="Español" data-language-local-name="स्पेनिश" 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 – बास्क" lang="eu" hreflang="eu" data-title="Zirkunferentzia" data-language-autonym="Euskara" data-language-local-name="बास्क" 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%85%D8%AD%DB%8C%D8%B7_%D9%85%D9%86%D8%AD%D9%86%DB%8C" title="محیط منحنی – फ़ारसी" lang="fa" hreflang="fa" data-title="محیط منحنی" data-language-autonym="فارسی" data-language-local-name="फ़ारसी" 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) – फ़िनिश" lang="fi" hreflang="fi" data-title="Kehä (geometria)" data-language-autonym="Suomi" data-language-local-name="फ़िनिश" 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 – फ़्रेंच" lang="fr" hreflang="fr" data-title="Circonférence" data-language-autonym="Français" data-language-local-name="फ़्रेंच" 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 – आयरिश" lang="ga" hreflang="ga" data-title="Imlíne" data-language-autonym="Gaeilge" data-language-local-name="आयरिश" class="interlanguage-link-target"><span>Gaeilge</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 – गुजराती" lang="gu" hreflang="gu" data-title="વર્તુળનો પરિઘ" data-language-autonym="ગુજરાતી" data-language-local-name="गुजराती" class="interlanguage-link-target"><span>ગુજરાતી</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 – आर्मेनियाई" lang="hy" hreflang="hy" data-title="Շրջանագծի երկարություն" data-language-autonym="Հայերեն" data-language-local-name="आर्मेनियाई" 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 – इंटरलिंगुआ" lang="ia" hreflang="ia" data-title="Circumferentia" data-language-autonym="Interlingua" data-language-local-name="इंटरलिंगुआ" 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 – इंडोनेशियाई" lang="id" hreflang="id" data-title="Keliling lingkaran" data-language-autonym="Bahasa Indonesia" data-language-local-name="इंडोनेशियाई" 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 – आइसलैंडिक" lang="is" hreflang="is" data-title="Ummál" data-language-autonym="Íslenska" data-language-local-name="आइसलैंडिक" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%86%86%E5%91%A8" title="円周 – जापानी" lang="ja" hreflang="ja" data-title="円周" data-language-autonym="日本語" data-language-local-name="जापानी" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tase%C9%A3leyt" title="Taseɣleyt – कबाइल" lang="kab" hreflang="kab" data-title="Taseɣleyt" data-language-autonym="Taqbaylit" data-language-local-name="कबाइल" 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 – कन्नड़" lang="kn" hreflang="kn" data-title="ಪರಿಧಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="कन्नड़" 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 – कोरियाई" lang="ko" hreflang="ko" data-title="원둘레" data-language-autonym="한국어" data-language-local-name="कोरियाई" 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 – लैटिन" lang="la" hreflang="la" data-title="Circumferentia" data-language-autonym="Latina" data-language-local-name="लैटिन" 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) – गांडा" lang="lg" hreflang="lg" data-title="Obwetoloovu (Circumference)" data-language-autonym="Luganda" data-language-local-name="गांडा" 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 – लिथुआनियाई" lang="lt" hreflang="lt" data-title="Apskritimo ilgis" data-language-autonym="Lietuvių" data-language-local-name="लिथुआनियाई" 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) – मकदूनियाई" lang="mk" hreflang="mk" data-title="Обиколка (геометрија)" data-language-autonym="Македонски" data-language-local-name="मकदूनियाई" 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 – मराठी" lang="mr" hreflang="mr" data-title="परीघ" data-language-autonym="मराठी" data-language-local-name="मराठी" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Circonfer%C3%A9ncia" title="Circonferéncia – ओसीटान" lang="oc" hreflang="oc" data-title="Circonferéncia" data-language-autonym="Occitan" data-language-local-name="ओसीटान" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Sirconferensa" title="Sirconferensa – Piedmontese" lang="pms" hreflang="pms" data-title="Sirconferensa" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" 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/Comprimento_da_circunfer%C3%AAncia" title="Comprimento da circunferência – पुर्तगाली" lang="pt" hreflang="pt" data-title="Comprimento da circunferência" data-language-autonym="Português" data-language-local-name="पुर्तगाली" 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 – रोमानियाई" lang="ro" hreflang="ro" data-title="Circumferință" data-language-autonym="Română" data-language-local-name="रोमानियाई" 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 – रूसी" lang="ru" hreflang="ru" data-title="Длина окружности" data-language-autonym="Русский" data-language-local-name="रूसी" 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/Circunfirenza" title="Circunfirenza – सिसिलियन" lang="scn" hreflang="scn" data-title="Circunfirenza" data-language-autonym="Sicilianu" data-language-local-name="सिसिलियन" 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_(jiometria)" title="Mzingo (jiometria) – स्वाहिली" lang="sw" hreflang="sw" data-title="Mzingo (jiometria)" data-language-autonym="Kiswahili" data-language-local-name="स्वाहिली" 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 – थाई" lang="th" hreflang="th" data-title="เส้นรอบวง" data-language-autonym="ไทย" data-language-local-name="थाई" 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 – टैगलॉग" lang="tl" hreflang="tl" data-title="Sirkumperensiya" data-language-autonym="Tagalog" data-language-local-name="टैगलॉग" 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) – तुर्की" lang="tr" hreflang="tr" data-title="Çevre (geometri)" data-language-autonym="Türkçe" data-language-local-name="तुर्की" 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 – यूक्रेनियाई" lang="uk" hreflang="uk" data-title="Окружність" data-language-autonym="Українська" data-language-local-name="यूक्रेनियाई" 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 – वियतनामी" lang="vi" hreflang="vi" data-title="Chu vi hình tròn" data-language-autonym="Tiếng Việt" data-language-local-name="वियतनामी" 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 – ज़ुआंग" lang="za" hreflang="za" data-title="Hopluenz" data-language-autonym="Vahcuengh" data-language-local-name="ज़ुआंग" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%9C%93%E5%91%A8" title="圓周 – चीनी" lang="zh" hreflang="zh" data-title="圓周" data-language-autonym="中文" data-language-local-name="चीनी" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%9C%93%E5%91%A8" title="圓周 – कैंटोनीज़" lang="yue" hreflang="yue" data-title="圓周" data-language-autonym="粵語" data-language-local-name="कैंटोनीज़" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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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">दिखावट</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">छुपाएँ</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">मुक्त ज्ञानकोश विकिपीडिया से</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="hi" dir="ltr"><table class="vertical-navbox nowraplinks hlist" style="float:right;clear:right;width:200px;margin:0 0 1.0em 1.0em;background:#f9f9f9;border:1px solid #aaa;padding:0.2em;border-spacing:0.4em 0;text-align:center;line-height:1.4em;font-size:88%"><tbody><tr><td style="padding-top:0.4em;line-height:1.2em">गणितीय नियतांक π पर <a href="/w/index.php?title=%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80:%E0%A4%AA%E0%A4%BE%E0%A4%88&action=edit&redlink=1" class="new" title="श्रेणी:पाई (पृष्ठ मौजूद नहीं है)">लेख श्रृंखला</a> का एक भाग</td></tr><tr><th style="padding:0.2em 0.4em 0.2em;padding-top:0;font-size:145%;line-height:1.2em;font-size:130%;"><a href="/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%88" title="पाई">गणितीय नियतांक π</a></th></tr><tr><td style="padding:0.2em 0 0.4em"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/PI_constant.svg/200px-PI_constant.svg.png" decoding="async" width="200" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/PI_constant.svg/300px-PI_constant.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5d/PI_constant.svg/400px-PI_constant.svg.png 2x" data-file-width="300" data-file-height="60" /></span></span></td></tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> उपयोग</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/wiki/%E0%A4%9A%E0%A4%95%E0%A4%A4%E0%A5%80_%E0%A4%95%E0%A4%BE_%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="चकती का क्षेत्रफल">चकती का क्षेत्रफल</a>  •  <a class="mw-selflink selflink">परिधि</a>  •  <a href="/w/index.php?title=%CE%A0_%E0%A4%B8%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%A8%E0%A5%8D%E0%A4%A7%E0%A4%BF%E0%A4%A4_%E0%A4%B8%E0%A5%82%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A5%8B%E0%A4%82_%E0%A4%95%E0%A5%80_%E0%A4%B8%E0%A5%82%E0%A4%9A%E0%A5%80&action=edit&redlink=1" class="new" title="Π सम्बन्धित सूत्रों की सूची (पृष्ठ मौजूद नहीं है)">अन्य सूत्रों में प्रयोग</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> गुणधर्म</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/w/index.php?title=%CE%A0_%E0%A4%95%E0%A5%87_%E0%A4%85%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A5%87%E0%A4%AF_%E0%A4%B9%E0%A5%8B%E0%A4%A8%E0%A5%87_%E0%A4%95%E0%A5%87_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A3&action=edit&redlink=1" class="new" title="Π के अपरिमेय होने के प्रमाण (पृष्ठ मौजूद नहीं है)">अपरिमेयता</a>  •  <a href="https://en.wikipedia.org/wiki/Lindemann%E2%80%93Weierstrass_theorem" class="extiw" title="en:Lindemann–Weierstrass theorem">उत्कृष्टता</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> परिमाण</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/w/index.php?title=%E0%A5%A8%E0%A5%A8/%E0%A5%AD_%E0%A4%95%E0%A5%87_%CF%80_%E0%A4%B8%E0%A5%87_%E0%A4%85%E0%A4%A7%E0%A4%BF%E0%A4%95_%E0%A4%B9%E0%A5%8B%E0%A4%A8%E0%A5%87_%E0%A4%95%E0%A4%BE_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A3&action=edit&redlink=1" class="new" title="२२/७ के π से अधिक होने का प्रमाण (पृष्ठ मौजूद नहीं है)">२२/७ से कम</a>  •  <a href="/w/index.php?title=%CE%A0_%E0%A4%95%E0%A5%87_%E0%A4%B8%E0%A4%A8%E0%A5%8D%E0%A4%A8%E0%A4%BF%E0%A4%95%E0%A4%9F%E0%A4%A8&action=edit&redlink=1" class="new" title="Π के सन्निकटन (पृष्ठ मौजूद नहीं है)">सन्निकटन</a>  •  <a href="/w/index.php?title=%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%B8%E0%A5%8D%E0%A4%95%E0%A5%83%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%AD%E0%A4%BE%E0%A4%B7%E0%A4%BE%E0%A4%B5%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%9E%E0%A4%BE%E0%A4%A8&action=edit&redlink=1" class="new" title="सांस्कृतिक भाषाविज्ञान (पृष्ठ मौजूद नहीं है)">स्मृतिकरण</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> लोग</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F" title="आर्यभट">आर्यभट</a> •  <a href="/w/index.php?title=%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A5%80%E0%A4%95%E0%A4%B0%E0%A4%A3_%E0%A4%B5%E0%A4%BF%E0%A4%A7%E0%A4%BF&action=edit&redlink=1" class="new" title="शून्यीकरण विधि (पृष्ठ मौजूद नहीं है)">आर्किमिडिज़</a>  •  <a href="/w/index.php?title=%E0%A4%B2%E0%A4%BF%E0%A4%AF%E0%A5%82_%E0%A4%B9%E0%A5%81%E0%A4%88_%E0%A4%95%E0%A4%BE_%CF%80_%E0%A4%95%E0%A4%B2%E0%A4%A8_%E0%A4%B5%E0%A4%BF%E0%A4%A7%E0%A4%BF&action=edit&redlink=1" class="new" title="लियू हुई का π कलन विधि (पृष्ठ मौजूद नहीं है)">लियू हुई</a>  •  <a href="https://en.wikipedia.org/wiki/Zu_Chongzhi" class="extiw" title="en:Zu Chongzhi">जू चोंग्ज्ही</a>  •  <a href="/wiki/%E0%A4%B8%E0%A4%82%E0%A4%97%E0%A4%AE%E0%A4%97%E0%A5%8D%E0%A4%B0%E0%A4%BE%E0%A4%AE_%E0%A4%95%E0%A5%87_%E0%A4%AE%E0%A4%BE%E0%A4%A7%E0%A4%B5" title="संगमग्राम के माधव">संगमग्राम के माधव</a>  •  <a href="https://en.wikipedia.org/wiki/William_Jones_(mathematician)" class="extiw" title="en:William Jones (mathematician)">विलियम जोन्स</a>  •  <a href="https://en.wikipedia.org/wiki/John_Machin" class="extiw" title="en:John Machin">जॉन मेचिन</a>  •  <a href="https://en.wikipedia.org/wiki/John_Wrench" class="extiw" title="en:John Wrench">जॉन रिंच</a>  •  <a href="https://en.wikipedia.org/wiki/Ludolph_van_Ceulen" class="extiw" title="en:Ludolph van Ceulen">लुडॉल्फ वान स्युलेन</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> इतिहास</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/w/index.php?title=%CE%A0_%E0%A4%95%E0%A5%80_%E0%A4%97%E0%A4%A3%E0%A4%A8%E0%A4%BE_%E0%A4%95%E0%A4%BE_%E0%A4%95%E0%A4%BE%E0%A4%B2%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE&action=edit&redlink=1" class="new" title="Π की गणना का कालक्रम (पृष्ठ मौजूद नहीं है)">कालक्रम</a>  •  <a href="/w/index.php?title=%CE%A0_%E0%A4%95%E0%A4%BE_%E0%A4%87%E0%A4%A4%E0%A4%BF%E0%A4%B9%E0%A4%BE%E0%A4%B8&action=edit&redlink=1" class="new" title="Π का इतिहास (पृष्ठ मौजूद नहीं है)">पुस्तकें</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> संस्कृति में</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="https://en.wikipedia.org/wiki/Indiana_Pi_Bill" class="extiw" title="en:Indiana Pi Bill">कानून</a>  •  <a href="/w/index.php?title=Pi_Day&action=edit&redlink=1" class="new" title="Pi Day (पृष्ठ मौजूद नहीं है)">π दिवस</a></td> </tr><tr><th style="padding:0.1em;border-top:#aaa 1px solid;"> सम्बंधित विषय</th></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="https://en.wikipedia.org/wiki/Squaring_the_circle" class="extiw" title="en:Squaring the circle">वृत का वर्गफलीकरण</a>  •  <a href="/wiki/%E0%A4%AC%E0%A5%87%E0%A4%B8%E0%A4%B2_%E0%A4%B8%E0%A4%AE%E0%A4%B8%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="बेसल समस्या">बेसल समस्या</a>  •  <a href="https://en.wikipedia.org/wiki/Feynman_point" class="extiw" title="en:Feynman point">फाइनमेन बिन्दु</a>  •  <a href="https://en.wikipedia.org/wiki/List_of_topics_related_to_%CF%80" class="extiw" title="en:List of topics related to π">π से सम्बंधित अन्य विषय</a></td> </tr><tr><td style="text-align:right;font-size:115%"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE:%E0%A4%AA%E0%A4%BE%E0%A4%88" title="साँचा:पाई"><abbr title="यह साँचा देखें">दे</abbr></a></li><li class="nv-talk"><a href="/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%BE%E0%A4%88" title="साँचा वार्ता:पाई"><abbr title="इस साँचे से संबंधित चर्चा करें">वा</abbr></a></li><li class="nv-edit"><a class="external text" href="https://hi.wikipedia.org/w/index.php?title=%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE:%E0%A4%AA%E0%A4%BE%E0%A4%88&action=edit"><abbr title="यह साँचा संपादित करें">सं</abbr></a></li></ul></div></td></tr></tbody></table> <p>मोटे तौर पर <a href="/wiki/%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="वृत्त">वृत्त</a> और <a href="/wiki/%E0%A4%A6%E0%A5%80%E0%A4%B0%E0%A5%8D%E0%A4%98%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="दीर्घवृत्त">दीर्घवृत्त</a> के बाहरी घेरे को, और घेरे की लम्बाई को <b>परिधि</b> कहते हैं। किन्तु इसका सामान्यीकरण करते हुए किसी भी बन्द <a href="/wiki/%E0%A4%B5%E0%A4%95%E0%A5%8D%E0%A4%B0" title="वक्र">वक्र</a> के किनारों की कुल लम्बाई (<a href="/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%AA" title="परिमाप">परिमाप</a>) को 'परिधि' कहा जाता है।<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> अर्थात् परिधि, <a href="/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%AA" title="परिमाप">परिमाप</a> की एक विशिष्ट अवस्था है। तीन या अधिक <a href="/wiki/%E0%A4%B8%E0%A4%B0%E0%A4%B2_%E0%A4%B0%E0%A5%87%E0%A4%96%E0%A4%BE" title="सरल रेखा">सरल रेखाओं</a> से घिरे किसी बहुभुज की सभी भुजाओं की लम्बाई का योग <a href="/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%AA" title="परिमाप">परिमाप</a> कहलाता है जबकि जबकि किसी 'कोणरहित' बन्द वक्र के बाहरी घेरे की कुल लम्बाई परिधि कहलाती है। वृत्त की परिधि <a href="/wiki/%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="ज्यामिति">ज्यामितीय</a> और <a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="त्रिकोणमिति">त्रिकोणमितीय</a> अवधाराणओं में महत्वपूर्ण है। </p> <div class="mw-heading mw-heading2"><h2 id="वृत्त_की_परिधि"><span id=".E0.A4.B5.E0.A5.83.E0.A4.A4.E0.A5.8D.E0.A4.A4_.E0.A4.95.E0.A5.80_.E0.A4.AA.E0.A4.B0.E0.A4.BF.E0.A4.A7.E0.A4.BF"></span>वृत्त की परिधि</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF&action=edit&section=1" title="अनुभाग सम्पादित करें: वृत्त की परिधि"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:Circle-withsegments.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/210px-Circle-withsegments.svg.png" decoding="async" width="210" height="210" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/315px-Circle-withsegments.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/420px-Circle-withsegments.svg.png 2x" data-file-width="726" data-file-height="726" /></a><figcaption>परिधि (C) का कोणीय चित्रण जिसमें, व्यास (D) नीले रंग में, त्रिज्या अथवा अर्द्धव्यास (R) लाल रंग में और केन्द्र अथवा मूल बिन्दु (O) मैजेंटा रंग में हैं। परिधि = <span class="texhtml">π</span> × व्यास = 2 × <span class="texhtml">π</span> × त्रिज्या</figcaption></figure> <p>वृत्त की परिधि उसके चारों ओर की लम्बाई होती है। यह कथन किसी भौतिक वस्तु के लिए काम में लिया जाता और किसी अमूर्त ज्यामितीय सरंचना के लिए भी उपयुक्त है। </p> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:2pi-unrolled.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/320px-2pi-unrolled.gif" decoding="async" width="320" height="110" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/480px-2pi-unrolled.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/640px-2pi-unrolled.gif 2x" data-file-width="870" data-file-height="300" /></a><figcaption>जब वृत्त की <a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="त्रिज्या">त्रिज्या</a> 1 हो तो उसकी परिधि 2<span class="texhtml">π</span> होती है।</figcaption></figure> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:Pi-unrolled-720.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/320px-Pi-unrolled-720.gif" decoding="async" width="320" height="101" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/480px-Pi-unrolled-720.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/640px-Pi-unrolled-720.gif 2x" data-file-width="720" data-file-height="228" /></a><figcaption>जब वृत्त का <a href="/wiki/%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%B8" class="mw-disambig" title="व्यास">व्यास</a> 1 हो तो उसकी परिधि <span class="texhtml">π</span> होती है।</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="पाई_के_साथ_सम्बन्ध"><span id=".E0.A4.AA.E0.A4.BE.E0.A4.88_.E0.A4.95.E0.A5.87_.E0.A4.B8.E0.A4.BE.E0.A4.A5_.E0.A4.B8.E0.A4.AE.E0.A5.8D.E0.A4.AC.E0.A4.A8.E0.A5.8D.E0.A4.A7"></span>पाई के साथ सम्बन्ध</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF&action=edit&section=2" title="अनुभाग सम्पादित करें: पाई के साथ सम्बन्ध"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>किसी <a href="/wiki/%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="वृत्त">वृत्त</a> की परिधि गणित में सभी गणितीय नियतांकों में से सबसे महत्वपूर्ण एक को सम्बद्ध करता है। नियतांक <a href="/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%88" title="पाई">पाई</a>, ग्रीक अक्षर पाई (π) से निरुपित किया जाता है। इसका संख्यात्मक मान 3.14159 26535 89793 ... है और यह वृत्त की परिधि और व्यास के अनुपात के बराबर होता है। </p><p>परिधि <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span>, व्यास <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> और त्रिज्या <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/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> के सम्बन्ध को निम्न प्रकार लिखा जा सकता है: </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 {C}=\pi \cdot {d}=2\pi \cdot {r}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi>C</mi> </mrow> <mo>=</mo> <mi>π</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {C}=\pi \cdot {d}=2\pi \cdot {r}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba3811c3c251af0decd3dca1167fae27edb7ee65" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.338ex; width:17.364ex; height:2.176ex;" alt="{\displaystyle {C}=\pi \cdot {d}=2\pi \cdot {r}\!}"></span></dd></dl> <p>गणितीय नियतांक <span class="texhtml">π</span> का गणित, अभियांत्रिकी और विज्ञान में उपयोग सर्वव्यापी है। </p> <dl><dt>दीर्घवृत्त की परिधि</dt></dl> <p>दीर्घवृत्त की परिधि की लम्बाई लगभग <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 {\sqrt {2(a^{2}+b^{2})}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi {\sqrt {2(a^{2}+b^{2})}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/36187c6fd9430a31f5a5550c6d9287bd03b1a3ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:13.804ex; height:4.843ex;" alt="{\displaystyle \pi {\sqrt {2(a^{2}+b^{2})}}}"></span> के बराबर होती है। </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 C_{\rm {ellipse}}\sim \pi {\sqrt {2(a^{2}+b^{2})}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">p</mi> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> <mo>∼</mo> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{\rm {ellipse}}\sim \pi {\sqrt {2(a^{2}+b^{2})}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1d0a3d38ad5968d3caa58d2d64a39f8e3fd39c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:23.19ex; height:4.843ex;" alt="{\displaystyle C_{\rm {ellipse}}\sim \pi {\sqrt {2(a^{2}+b^{2})}}}"></span></dd></dl> <p>यहाँ <b>a</b> और <b>b</b> क्रमशः दीर्घ अक्ष और लघु अक्ष की लम्बाई के आधे हैं। </p> <dl><dt>किसी भी बन्द वक्र की परिधि की लम्बाई</dt> <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 C=\int _{0}^{2\pi }rd\theta \ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>π</mi> </mrow> </msubsup> <mi>r</mi> <mi>d</mi> <mi>θ</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=\int _{0}^{2\pi }rd\theta \ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4cb31c732fe91755d650517dea6f437d9b2826" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:13.648ex; height:6.176ex;" alt="{\displaystyle C=\int _{0}^{2\pi }rd\theta \ }"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="सन्दर्भ"><span id=".E0.A4.B8.E0.A4.A8.E0.A5.8D.E0.A4.A6.E0.A4.B0.E0.A5.8D.E0.A4.AD"></span>सन्दर्भ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF&action=edit&section=3" title="अनुभाग सम्पादित करें: सन्दर्भ"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation web">सेन डियागो स्टेट यूनिवर्सिटी (2004). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20141006153741/http://www-rohan.sdsu.edu/~pwbrock/files/UNIT9.3.pdf">"Perimeter, Area and Circumference"</a> [परिमाप, क्षेत्रफल और परिधि] <span class="cs1-format">(PDF)</span>. एडिसन-वेसली]]. <a rel="nofollow" class="external text" href="http://www-rohan.sdsu.edu/~pwbrock/files/UNIT9.3.pdf">मूल</a> <span class="cs1-format">(PDF)</span> से 6 अक्तूबर 2014 को पुरालेखित<span class="reference-accessdate">. अभिगमन तिथि 26 अक्तूबर 2013</span>.</cite><span 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