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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="Википедия" src="/static/images/mobile/copyright/wikipedia-wordmark-rsk.svg" style="width: 6.875em; height: 1.125em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-rsk.svg" width="110" height="9" style="width: 6.875em; height: 0.5625em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%D0%9E%D0%BA%D1%80%D0%B5%D0%BC%D0%B5:%D0%9F%D1%80%D0%B5%D1%82%D1%80%D0%B0%D0%B6%D0%B8" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Претражите пројекат Википедия [f]" accesskey="f"><span 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class="vector-user-links vector-user-links-wide" aria-label="Особни алати"> <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="Вонкашнї випатрунок"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Мења се приказ странице; величина фонта, ширина и боја" > <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="Вонкашнї випатрунок" > <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">Вонкашнї випатрунок</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="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=rsk.wikipedia.org&uselang=rsk" class=""><span>Донируйце нам</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=%D0%9E%D0%BA%D1%80%D0%B5%D0%BC%D0%B5:%D0%9E%D1%82%D0%B2%D0%BE%D1%80%D0%B8_%D0%BD%D0%B0%D0%BB%D0%BE%D0%B3&returnto=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3" title="Иако није обавезно, препоручујемо да отворите налог и пријавите се" class=""><span>Креируй налог</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=%D0%9E%D0%BA%D1%80%D0%B5%D0%BC%D0%B5:%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D0%BD%D0%B8%D1%87%D0%BA%D0%B0_%D0%BF%D1%80%D0%B8%D1%98%D0%B0%D0%B2%D0%B0&returnto=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3" title="Иако није обавезно, препоручујемо да се пријавите [o]" accesskey="o" class=""><span>Приявце ше</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="Вецей опциї" > <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="Особни алати" > <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">Особни алати</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" 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ове IP адресе [y]" accesskey="y"><span>Доприношенє</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%9E%D0%BA%D1%80%D0%B5%D0%BC%D0%B5:%D0%9C%D0%BE%D1%98_%D1%80%D0%B0%D0%B7%D0%B3%D0%BE%D0%B2%D0%BE%D1%80" title="Разговор о изменама с ове IP адресе [n]" accesskey="n"><span>Розгварка</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="Сайт"> <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="Змист" 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">Змист</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">премесциц на бочни панел</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">скриц</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">Початок</div> </a> </li> <li id="toc-Обсяг_даєдних_ґеометрийних_фиґурох" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Обсяг_даєдних_ґеометрийних_фиґурох"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Обсяг даєдних ґеометрийних фиґурох</span> </div> </a> <button aria-controls="toc-Обсяг_даєдних_ґеометрийних_фиґурох-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>Уключиц/Виключиц пододзельок Обсяг даєдних ґеометрийних фиґурох</span> </button> <ul id="toc-Обсяг_даєдних_ґеометрийних_фиґурох-sublist" class="vector-toc-list"> <li id="toc-Круг" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Круг"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Круг</span> </div> </a> <ul id="toc-Круг-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Елипса" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Елипса"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Елипса</span> </div> </a> <ul id="toc-Елипса-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Вонкашнї_вязи" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Вонкашнї_вязи"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Вонкашнї вязи</span> </div> </a> <ul id="toc-Вонкашнї_вязи-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="Змист" 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="Прикаж/скри змист" > <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">Прикаж/скри змист</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">Обсяг</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="Прейдзце на статю на другим язику. Доступна є на 80 язикох" > <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-80" 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">80 язики</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Omtrek" title="Omtrek — африканс" lang="af" hreflang="af" data-title="Omtrek" data-language-autonym="Afrikaans" data-language-local-name="африканс" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%98%E1%8C%A0%E1%8A%90_%E1%8B%99%E1%88%AA%E1%8B%AB" title="መጠነ ዙሪያ — амхарски" lang="am" hreflang="am" data-title="መጠነ ዙሪያ" data-language-autonym="አማርኛ" data-language-local-name="амхарски" class="interlanguage-link-target"><span>አማርኛ</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%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A9)" title="محيط (هندسة رياضية) — арапски" lang="ar" hreflang="ar" data-title="محيط (هندسة رياضية)" data-language-autonym="العربية" data-language-local-name="арапски" 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%B8%E0%A7%80%E0%A6%AE%E0%A6%BE" title="পৰিসীমা — асамски" lang="as" hreflang="as" data-title="পৰিসীমা" data-language-autonym="অসমীয়া" data-language-local-name="асамски" 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/Per%C3%ADmetru" title="Perímetru — астуријски" lang="ast" hreflang="ast" data-title="Perímetru" data-language-autonym="Asturianu" data-language-local-name="астуријски" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Muyta" title="Muyta — ајмара" lang="ay" hreflang="ay" data-title="Muyta" data-language-autonym="Aymar aru" data-language-local-name="ајмара" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Perimetr" title="Perimetr — азербејџански" lang="az" hreflang="az" data-title="Perimetr" data-language-autonym="Azərbaycanca" data-language-local-name="азербејџански" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D1%8B%D0%BC%D0%B5%D1%82%D1%80" title="Перыметр — белоруски" lang="be" hreflang="be" data-title="Перыметр" data-language-autonym="Беларуская" data-language-local-name="белоруски" 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%9F%D1%8D%D1%80%D1%8B%D0%BC%D1%8D%D1%82%D0%B0%D1%80" title="Пэрымэтар — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Пэрымэтар" 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-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%8A%D1%80" title="Периметър — бугарски" lang="bg" hreflang="bg" data-title="Периметър" data-language-autonym="Български" data-language-local-name="бугарски" 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%B8%E0%A7%80%E0%A6%AE%E0%A6%BE" title="পরিসীমা — бенгалски" lang="bn" hreflang="bn" data-title="পরিসীমা" data-language-autonym="বাংলা" data-language-local-name="бенгалски" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Per%C3%ADmetre" title="Perímetre — каталонски" lang="ca" hreflang="ca" data-title="Perímetre" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%86%DB%8E%D9%88%DB%95" title="چێوە — централни курдски" lang="ckb" hreflang="ckb" data-title="چێوە" data-language-autonym="کوردی" data-language-local-name="централни курдски" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Perimetru" title="Perimetru — корзикански" lang="co" hreflang="co" data-title="Perimetru" data-language-autonym="Corsu" data-language-local-name="корзикански" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Obvod_(geometrie)" title="Obvod (geometrie) — чешки" lang="cs" hreflang="cs" data-title="Obvod (geometrie)" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Perimedr" title="Perimedr — велшки" lang="cy" hreflang="cy" data-title="Perimedr" data-language-autonym="Cymraeg" data-language-local-name="велшки" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Omkreds" title="Omkreds — дански" lang="da" hreflang="da" data-title="Omkreds" data-language-autonym="Dansk" data-language-local-name="дански" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Umfang_(Geometrie)" title="Umfang (Geometrie) — немачки" lang="de" hreflang="de" data-title="Umfang (Geometrie)" data-language-autonym="Deutsch" data-language-local-name="немачки" 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%AF%CE%BC%CE%B5%CF%84%CF%81%CE%BF%CF%82" title="Περίμετρος — грчки" lang="el" hreflang="el" data-title="Περίμετρος" data-language-autonym="Ελληνικά" data-language-local-name="грчки" 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/Perimeter" title="Perimeter — енглески" lang="en" hreflang="en" data-title="Perimeter" data-language-autonym="English" data-language-local-name="енглески" 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/Perimetro" title="Perimetro — есперанто" lang="eo" hreflang="eo" data-title="Perimetro" data-language-autonym="Esperanto" data-language-local-name="есперанто" 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/Per%C3%ADmetro" title="Perímetro — шпански" lang="es" hreflang="es" data-title="Perímetro" data-language-autonym="Español" data-language-local-name="шпански" 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/%C3%9Cmberm%C3%B5%C3%B5t" title="Ümbermõõt — естонски" lang="et" hreflang="et" data-title="Ümbermõõt" data-language-autonym="Eesti" data-language-local-name="естонски" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Perimetro" title="Perimetro — баскијски" lang="eu" hreflang="eu" data-title="Perimetro" data-language-autonym="Euskara" data-language-local-name="баскијски" 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%87%D9%86%D8%AF%D8%B3%D9%87)" title="محیط (هندسه) — персијски" lang="fa" hreflang="fa" data-title="محیط (هندسه)" data-language-autonym="فارسی" data-language-local-name="персијски" 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/Piiri_(geometria)" title="Piiri (geometria) — фински" lang="fi" hreflang="fi" data-title="Piiri (geometria)" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr badge-Q17437798 badge-goodarticle mw-list-item" title="добар чланак"><a href="https://fr.wikipedia.org/wiki/P%C3%A9rim%C3%A8tre" title="Périmètre — француски" lang="fr" hreflang="fr" data-title="Périmètre" data-language-autonym="Français" data-language-local-name="француски" 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/Per%C3%ADmetro" title="Perímetro — галицијски" lang="gl" hreflang="gl" data-title="Perímetro" data-language-autonym="Galego" data-language-local-name="галицијски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%99%D7%A7%D7%A3" title="היקף — хебрејски" lang="he" hreflang="he" data-title="היקף" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</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%AE%E0%A4%BE%E0%A4%AA" title="परिमाप — хинди" lang="hi" hreflang="hi" data-title="परिमाप" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Opseg" title="Opseg — хрватски" lang="hr" hreflang="hr" data-title="Opseg" data-language-autonym="Hrvatski" data-language-local-name="хрватски" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ker%C3%BClet_(geometria)" title="Kerület (geometria) — мађарски" lang="hu" hreflang="hu" data-title="Kerület (geometria)" data-language-autonym="Magyar" data-language-local-name="мађарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%A1%D6%80%D5%A1%D5%A3%D5%AB%D5%AE" title="Պարագիծ — јерменски" lang="hy" hreflang="hy" data-title="Պարագիծ" data-language-autonym="Հայերեն" data-language-local-name="јерменски" 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/Perimetro" title="Perimetro — интерлингва" lang="ia" hreflang="ia" data-title="Perimetro" data-language-autonym="Interlingua" data-language-local-name="интерлингва" 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" title="Keliling — индонежански" lang="id" hreflang="id" data-title="Keliling" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонежански" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Perimetro" title="Perimetro — идо" lang="io" hreflang="io" data-title="Perimetro" data-language-autonym="Ido" data-language-local-name="идо" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Perimetro" title="Perimetro — италијански" lang="it" hreflang="it" data-title="Perimetro" data-language-autonym="Italiano" data-language-local-name="италијански" 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 — јапански" lang="ja" hreflang="ja" data-title="周長" data-language-autonym="日本語" data-language-local-name="јапански" 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%9E%E1%83%94%E1%83%A0%E1%83%98%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98" title="პერიმეტრი — грузијски" lang="ka" hreflang="ka" data-title="პერიმეტრი" data-language-autonym="ქართული" data-language-local-name="грузијски" 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/Tamezza_(tusnakt)" title="Tamezza (tusnakt) — кабиле" lang="kab" hreflang="kab" data-title="Tamezza (tusnakt)" data-language-autonym="Taqbaylit" data-language-local-name="кабиле" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр — казашки" lang="kk" hreflang="kk" data-title="Периметр" data-language-autonym="Қазақша" data-language-local-name="казашки" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%94%E1%9E%9A%E1%9E%B7%E1%9E%98%E1%9E%B6%E1%9E%8F%E1%9F%92%E1%9E%9A" title="បរិមាត្រ — кмерски" lang="km" hreflang="km" data-title="បរិមាត្រ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кмерски" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%91%98%EB%A0%88" title="둘레 — корејски" lang="ko" hreflang="ko" data-title="둘레" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%B9%D0%BB%D0%B0%D0%BD%D0%B0%D0%BD%D1%8B%D0%BD_%D1%83%D0%B7%D1%83%D0%BD%D0%B4%D1%83%D0%B3%D1%83" title="Айлананын узундугу — киргиски" lang="ky" hreflang="ky" data-title="Айлананын узундугу" data-language-autonym="Кыргызча" data-language-local-name="киргиски" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Per%C3%ACmeter" title="Perìmeter — ломбард" lang="lmo" hreflang="lmo" data-title="Perìmeter" data-language-autonym="Lombard" data-language-local-name="ломбард" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Perimetras" title="Perimetras — литвански" lang="lt" hreflang="lt" data-title="Perimetras" data-language-autonym="Lietuvių" data-language-local-name="литвански" 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/Perimetrs" title="Perimetrs — летонски" lang="lv" hreflang="lv" data-title="Perimetrs" data-language-autonym="Latviešu" data-language-local-name="летонски" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D0%BC_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Обем (геометрија) — македонски" lang="mk" hreflang="mk" data-title="Обем (геометрија)" data-language-autonym="Македонски" data-language-local-name="македонски" 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%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80" title="परिमिती — марати" lang="mr" hreflang="mr" data-title="परिमिती" data-language-autonym="मराठी" data-language-local-name="марати" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Perimeter" title="Perimeter — малајски" lang="ms" hreflang="ms" data-title="Perimeter" data-language-autonym="Bahasa Melayu" data-language-local-name="малајски" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Omtrek" title="Omtrek — холандски" lang="nl" hreflang="nl" data-title="Omtrek" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Omkrins" title="Omkrins — норвешки нинорск" lang="nn" hreflang="nn" data-title="Omkrins" data-language-autonym="Norsk nynorsk" data-language-local-name="норвешки нинорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Omkrets" title="Omkrets — норвешки букмол" lang="nb" hreflang="nb" data-title="Omkrets" data-language-autonym="Norsk bokmål" data-language-local-name="норвешки букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Perim%C3%A8tre" title="Perimètre — окситански" lang="oc" hreflang="oc" data-title="Perimètre" data-language-autonym="Occitan" data-language-local-name="окситански" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Obw%C3%B3d_(geometria)" title="Obwód (geometria) — пољски" lang="pl" hreflang="pl" data-title="Obwód (geometria)" data-language-autonym="Polski" data-language-local-name="пољски" 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/Per%C3%ADmetro" title="Perímetro — португалски" lang="pt" hreflang="pt" data-title="Perímetro" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Iruru_muyu" title="Iruru muyu — кечуа" lang="qu" hreflang="qu" data-title="Iruru muyu" data-language-autonym="Runa Simi" data-language-local-name="кечуа" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Perimetru" title="Perimetru — румунски" lang="ro" hreflang="ro" data-title="Perimetru" data-language-autonym="Română" data-language-local-name="румунски" 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%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр — руски" lang="ru" hreflang="ru" data-title="Периметр" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Opseg" title="Opseg — српскохрватски" lang="sh" hreflang="sh" data-title="Opseg" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="српскохрватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Perimeter" title="Perimeter — Simple English" lang="en-simple" hreflang="en-simple" data-title="Perimeter" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Obseg" title="Obseg — словеначки" lang="sl" hreflang="sl" data-title="Obseg" data-language-autonym="Slovenščina" data-language-local-name="словеначки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Pimamuganhu" title="Pimamuganhu — шона" lang="sn" hreflang="sn" data-title="Pimamuganhu" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Wareeg" title="Wareeg — сомалски" lang="so" hreflang="so" data-title="Wareeg" data-language-autonym="Soomaaliga" data-language-local-name="сомалски" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Perimetri" title="Perimetri — албански" lang="sq" hreflang="sq" data-title="Perimetri" data-language-autonym="Shqip" data-language-local-name="албански" 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%9E%D0%B1%D0%B8%D0%BC" title="Обим — српски" lang="sr" hreflang="sr" data-title="Обим" data-language-autonym="Српски / srpski" data-language-local-name="српски" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Sabudeureun" title="Sabudeureun — сундански" lang="su" hreflang="su" data-title="Sabudeureun" data-language-autonym="Sunda" data-language-local-name="сундански" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Omkrets" title="Omkrets — шведски" lang="sv" hreflang="sv" data-title="Omkrets" data-language-autonym="Svenska" data-language-local-name="шведски" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Uobw%C5%AFd" title="Uobwůd — Silesian" lang="szl" hreflang="szl" data-title="Uobwůd" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%81%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B3%E0%AE%B5%E0%AF%81" title="சுற்றளவு — тамилски" lang="ta" hreflang="ta" data-title="சுற்றளவு" data-language-autonym="தமிழ்" data-language-local-name="тамилски" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%9A%E0%B1%81%E0%B0%9F%E0%B1%8D%E0%B0%9F%E0%B1%81%E0%B0%95%E0%B1%8A%E0%B0%B2%E0%B0%A4" title="చుట్టుకొలత — телугу" lang="te" hreflang="te" data-title="చుట్టుకొలత" data-language-autonym="తెలుగు" data-language-local-name="телугу" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%AA%E0%B9%89%E0%B8%99%E0%B8%A3%E0%B8%AD%E0%B8%9A%E0%B8%A3%E0%B8%B9%E0%B8%9B" title="เส้นรอบรูป — тајски" lang="th" hreflang="th" data-title="เส้นรอบรูป" data-language-autonym="ไทย" data-language-local-name="тајски" 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/Perimetro" title="Perimetro — тагалог" lang="tl" hreflang="tl" data-title="Perimetro" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр — украјински" lang="uk" hreflang="uk" data-title="Периметр" data-language-autonym="Українська" data-language-local-name="украјински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%AD%DB%8C%D8%B7" title="محیط — урду" lang="ur" hreflang="ur" data-title="محیط" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Perimetr" title="Perimetr — узбечки" lang="uz" hreflang="uz" data-title="Perimetr" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбечки" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Chu_vi" title="Chu vi — вијетнамски" lang="vi" hreflang="vi" data-title="Chu vi" data-language-autonym="Tiếng Việt" data-language-local-name="вијетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%91%A8%E9%95%BF" title="周长 — ву кинески" lang="wuu" hreflang="wuu" data-title="周长" data-language-autonym="吴语" data-language-local-name="ву кинески" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9E%E1%83%94%E1%83%A0%E1%83%98%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98" title="პერიმეტრი — Mingrelian" lang="xmf" hreflang="xmf" data-title="პერიმეტრი" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%91%A8%E9%95%BF" title="周长 — кинески" lang="zh" hreflang="zh" data-title="周长" data-language-autonym="中文" data-language-local-name="кинески" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q28474#sitelinks-wikipedia" title="Ушор медзиязични вязи" class="wbc-editpage">Ушор вязи</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Простори за назви"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%9E%D0%B1%D1%81%D1%8F%D0%B3" title="Погледајте садржинску страницу [c]" 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data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Вонкашнї випатрунок</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">премесциц на бочни панел</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">скриц</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">Материял зоз Википедиї</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="rsk" dir="ltr"><p><b>Обсяг</b> то длужина завартей линиї. Кед тота линия огранїчує даяки ґеометрийни обєкт, теди єй обсяг источашнє обсяг того цела. По правилу, обсяг ше означує зоз вельким латиничну букву <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Обсяг_даєдних_ґеометрийних_фиґурох"><span id=".D0.9E.D0.B1.D1.81.D1.8F.D0.B3_.D0.B4.D0.B0.D1.94.D0.B4.D0.BD.D0.B8.D1.85_.D2.91.D0.B5.D0.BE.D0.BC.D0.B5.D1.82.D1.80.D0.B8.D0.B9.D0.BD.D0.B8.D1.85_.D1.84.D0.B8.D2.91.D1.83.D1.80.D0.BE.D1.85"></span>Обсяг даєдних ґеометрийних фиґурох</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&veaction=edit&section=1" title="Ушор оддзельок: Обсяг даєдних ґеометрийних фиґурох" class="mw-editsection-visualeditor"><span>ушориц</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&action=edit&section=1" title="Ушор жридлови код у оддзельку: Обсяг даєдних ґеометрийних фиґурох"><span>ушор жридло</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Круг"><span id=".D0.9A.D1.80.D1.83.D0.B3"></span>Круг</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&veaction=edit&section=2" title="Ушор оддзельок: Круг" class="mw-editsection-visualeditor"><span>ушориц</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&action=edit&section=2" title="Ушор жридлови код у оддзельку: Круг"><span>ушор жридло</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Обсяг круга ше може вираховац хаснуюци його пречнїк: </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 O=\pi \cdot R\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo>=</mo> <mi>π</mi> <mo>⋅</mo> <mi>R</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O=\pi \cdot R\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/661bc73511fd71a446a7ef8a934ff6592faf5553" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.034ex; height:2.176ex;" alt="{\displaystyle O=\pi \cdot R\,}"></span></dd></dl> <p>Або пречнїк мож заменїц зоз полупречнїком: </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 O=2\cdot \pi \cdot r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo>=</mo> <mn>2</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O=2\cdot \pi \cdot r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a50aa50c9e8cde124a3a914352d9ff6d3607964c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.16ex; height:2.176ex;" alt="{\displaystyle O=2\cdot \pi \cdot r\,}"></span></dd></dl> <p>дзе <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> полупречнїк (радиюс), а <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> пречнїк круга, и <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 }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ba0bb8df3af72e90a0535fabcc17431e540a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.332ex; height:1.676ex;" alt="{\displaystyle \pi }"></span> (греческа буква пи) то константа приблїжно єднака числу <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 3,1415926}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>,</mo> <mn>1415926</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3,1415926}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9bcc33e8fbd652c0eabd7ad267fb2981fffb739" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.334ex; height:2.509ex;" alt="{\displaystyle 3,1415926}"></span>. </p><p>Значи, одношенє обсягу и пречнїка круга то <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 }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ba0bb8df3af72e90a0535fabcc17431e540a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.332ex; height:1.676ex;" alt="{\displaystyle \pi }"></span>. </p> <div class="mw-heading mw-heading3"><h3 id="Елипса"><span id=".D0.95.D0.BB.D0.B8.D0.BF.D1.81.D0.B0"></span>Елипса</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&veaction=edit&section=3" title="Ушор оддзельок: Елипса" class="mw-editsection-visualeditor"><span>ушориц</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&action=edit&section=3" title="Ушор жридлови код у оддзельку: Елипса"><span>ушор жридло</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Обсяг елипси ше рахує хаснуюци конєчни шори. Добру апроксимацию дал индийски математичар Шринваса Рамануджан. </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 O\approx \pi (3(a+b)-{\sqrt {(3a+b)(a+3b)}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo>≈</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mn>3</mn> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mn>3</mn> <mi>b</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O\approx \pi (3(a+b)-{\sqrt {(3a+b)(a+3b)}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65aa1572597255b929ee2bb81f61f8bcf1231163" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:37.296ex; height:4.843ex;" alt="{\displaystyle O\approx \pi (3(a+b)-{\sqrt {(3a+b)(a+3b)}})}"></span></dd></dl> <p>дзе <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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> полуоси осовини. Хаснуюци <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 a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> ше може вираховац ексцентрицитет елипси: </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 b=a{\sqrt {1-e^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mo>=</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b=a{\sqrt {1-e^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4df230e3cc44664509346e01f6993c2310627496" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.79ex; height:3.509ex;" alt="{\displaystyle b=a{\sqrt {1-e^{2}}}}"></span></dd></dl> <p>Цо значи же обсяг може буц приблїжно виражени як: </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 O\approx \pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {(3+{\sqrt {1-e^{2}}})(1+3{\sqrt {1-e^{2}}})}})=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo>≈</mo> <mi>π</mi> <mi>a</mi> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo stretchy="false">)</mo> </msqrt> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O\approx \pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {(3+{\sqrt {1-e^{2}}})(1+3{\sqrt {1-e^{2}}})}})=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b834fbdd367355814b5ead56efe9331f85c9d5f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:62.015ex; height:4.843ex;" alt="{\displaystyle O\approx \pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {(3+{\sqrt {1-e^{2}}})(1+3{\sqrt {1-e^{2}}})}})=}"></span></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 =\pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {3(2-e^{2})+10{\sqrt {1-e^{2}}}}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mi>π</mi> <mi>a</mi> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> <mo stretchy="false">(</mo> <mn>2</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>+</mo> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </msqrt> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {3(2-e^{2})+10{\sqrt {1-e^{2}}}}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aec6c92f35b692200991382f4b193cb8fd0ccc19" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:50.169ex; height:4.843ex;" alt="{\displaystyle =\pi a(3(1+{\sqrt {1-e^{2}}})-{\sqrt {3(2-e^{2})+10{\sqrt {1-e^{2}}}}})}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Вонкашнї_вязи"><span id=".D0.92.D0.BE.D0.BD.D0.BA.D0.B0.D1.88.D0.BD.D1.97_.D0.B2.D1.8F.D0.B7.D0.B8"></span>Вонкашнї вязи</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&veaction=edit&section=4" title="Ушор оддзельок: Вонкашнї вязи" class="mw-editsection-visualeditor"><span>ушориц</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%8F%D0%B3&action=edit&section=4" title="Ушор жридлови код у оддзельку: Вонкашнї вязи"><span>ушор жридло</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.numericana.com/answer/ellipse.htm#elliptic,">Numericana- Обсяг елипси</a></li></ul> <p><br /> </p>    </div><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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