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Длина окружности — Википедия

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id="bodyContent" class="vector-body"> <div id="siteSub" class="noprint">Материал из Википедии — свободной энциклопедии</div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Перейти к навигации</a> <a class="mw-jump-link" href="#searchInput">Перейти к поиску</a> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ru" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Circle-withsegments.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/220px-Circle-withsegments.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/330px-Circle-withsegments.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/Circle-withsegments.svg/440px-Circle-withsegments.svg.png 2x" data-file-width="726" data-file-height="726" /></a><figcaption><b>Длина окружности</b> C с диаметром D, радиусом R и центром O. Circumference = <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>&#x03C0;<!-- 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> × D = 2 × <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>&#x03C0;<!-- 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> × R.</figcaption></figure> <p><b>Длина окружности</b> — это длина замкнутой плоской кривой, ограничивающей <a href="/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг">круг</a>. Поскольку окружность является границей круга или диска, длина окружности является частным случаем периметра<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup>. </p><p>Длина окружности может быть определена как <a href="/wiki/%D0%9F%D1%80%D0%B5%D0%B4%D0%B5%D0%BB_%D0%BF%D0%BE%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Предел последовательности">предел последовательности</a> периметров вписанных в круг <a href="/wiki/%D0%9F%D1%80%D0%B0%D0%B2%D0%B8%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA" title="Правильный многоугольник">правильных многоугольников</a> при неограниченном увеличении числа сторон многоугольника<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup>. </p> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Pi-unrolled-720.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/240px-Pi-unrolled-720.gif" decoding="async" width="240" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/360px-Pi-unrolled-720.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/480px-Pi-unrolled-720.gif 2x" data-file-width="720" data-file-height="228" /></a><figcaption>Если <a href="/wiki/%D0%94%D0%B8%D0%B0%D0%BC%D0%B5%D1%82%D1%80" title="Диаметр">диаметр</a> окружности равен 1, её длина равна <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>&#x03C0;<!-- 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>.</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:2pi-unrolled.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/240px-2pi-unrolled.gif" decoding="async" width="240" height="83" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/360px-2pi-unrolled.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/2pi-unrolled.gif/480px-2pi-unrolled.gif 2x" data-file-width="870" data-file-height="300" /></a><figcaption>Если <a href="/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D1%83%D1%81" title="Радиус">радиус</a> окружности равен 1, её длина равна <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>&#x03C0;<!-- π --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73efd1f6493490b058097060a572606d2c550a06" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.494ex; height:2.176ex;" alt="{\displaystyle 2\pi }"></span>.</figcaption></figure> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="ru" dir="ltr"><h2 id="mw-toc-heading">Содержание</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Длина_окружности_и_число_π"><span class="tocnumber">1</span> <span class="toctext">Длина окружности и число π</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#См._также"><span class="tocnumber">2</span> <span class="toctext">См. также</span></a></li> <li class="toclevel-1 tocsection-3"><a href="#Примечания"><span class="tocnumber">3</span> <span class="toctext">Примечания</span></a></li> <li class="toclevel-1 tocsection-4"><a href="#Литература"><span class="tocnumber">4</span> <span class="toctext">Литература</span></a></li> <li class="toclevel-1 tocsection-5"><a href="#Ссылки"><span class="tocnumber">5</span> <span class="toctext">Ссылки</span></a></li> </ul> </div> <div class="mw-heading mw-heading2"><h2 id="Длина_окружности_и_число_π"><span id=".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_.D0.B8_.D1.87.D0.B8.D1.81.D0.BB.D0.BE_.CF.80"></span>Длина окружности и число π</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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&amp;veaction=edit&amp;section=1" title="Редактировать раздел «Длина окружности и число π»" class="mw-editsection-visualeditor"><span>править</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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&amp;action=edit&amp;section=1" title="Редактировать код раздела «Длина окружности и число π»"><span>править код</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Длина окружности связана с одной из самых важных математических констант — числом <a href="/wiki/%D0%9F%D0%B8_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="Пи (число)">пи</a>. <a href="/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%BF%D0%B8" class="mw-redirect" title="Число пи">Число пи</a> обозначается <a href="/wiki/%D0%93%D1%80%D0%B5%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B9_%D0%B0%D0%BB%D1%84%D0%B0%D0%B2%D0%B8%D1%82" title="Греческий алфавит">греческой буквой</a> <a href="/wiki/%D0%9F%D0%B8_(%D0%B1%D1%83%D0%BA%D0%B2%D0%B0)" title="Пи (буква)">пи</a> (<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>&#x03C0;<!-- 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>). Первые цифры числа в десятичной записи<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup>: </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 \pi =3{,}141592653589793\dots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C0;<!-- π --></mi> <mo>=</mo> <mn>3,141</mn> <mn>592653589793</mn> <mo>&#x2026;<!-- … --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi =3{,}141592653589793\dots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3224983ad5f524e29737e95a759081970c37c4c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:26.787ex; height:2.509ex;" alt="{\displaystyle \pi =3{,}141592653589793\dots }"></span></dd></dl> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C0;<!-- 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> определяется как <a href="/wiki/%D0%A1%D0%BE%D0%BE%D1%82%D0%BD%D0%BE%D1%88%D0%B5%D0%BD%D0%B8%D0%B5" title="Соотношение">отношение</a> длины окружности <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/4fc55753007cd3c18576f7933f6f089196732029" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.766ex; height:2.176ex;" alt="{\displaystyle C}"></span> к её диаметру <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>: </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 \pi ={\frac {C}{d}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C0;<!-- π --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>C</mi> <mi>d</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi ={\frac {C}{d}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3ffc6970dda2e60597854f14e2ac1e13a25a5cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.033ex; height:5.509ex;" alt="{\displaystyle \pi ={\frac {C}{d}}}"></span></dd></dl> <p>Или, что эквивалентно, как отношение длины окружности к удвоенному <a href="/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D1%83%D1%81" title="Радиус">радиусу</a>. Формула длины окружности тогда выше принимает вид: </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>&#x03C0;<!-- π --></mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> <mo>=</mo> <mn>2</mn> <mi>&#x03C0;<!-- π --></mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> <mo>.</mo> <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/1b508f32a126d7505d56e7ff1527c68924e7180e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.204ex; width:17.876ex; height:2.176ex;" alt="{\displaystyle {C}=\pi \cdot {d}=2\pi \cdot {r}.\!}"></span></dd></dl> <p>Использование константы <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>&#x03C0;<!-- 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> является повсеместным в науке и приложениях. </p><p>В книге «<span data-interwiki-lang="en" data-interwiki-article="Measurement of a Circle"><a href="/w/index.php?title=%D0%98%D0%B7%D0%BC%D0%B5%D1%80%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BA%D1%80%D1%83%D0%B3%D0%B0&amp;action=edit&amp;redlink=1" class="new" title="Измерение круга (страница отсутствует)">Измерение круга</a></span><sup class="noprint" style="font-style:normal; font-weight:normal;"><a href="https://en.wikipedia.org/wiki/Measurement_of_a_Circle" class="extiw" title="en:Measurement of a Circle"><span title="Measurement of a Circle — версия статьи «Измерение круга» на английском языке">[англ.]</span></a></sup>», написанной около 250 года до&#160;н.&#160;э., <a href="/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед">Архимед</a> показал, что отношение (<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/d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C/d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/578c3b69977f32aa15288f5447c0ed5e07ccb1f6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.145ex; height:2.843ex;" alt="{\displaystyle C/d}"></span> (он не использовал обозначение <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>&#x03C0;<!-- 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>) больше 3<style data-mw-deduplicate="TemplateStyles:r141390283">.mw-parser-output .ts-Дробь2.sfrac{white-space:nowrap}.mw-parser-output .ts-Дробь2.sfrac.tion,.mw-parser-output .ts-Дробь2.sfrac .tion{display:inline-block;vertical-align:-0.5em;text-align:center}.mw-parser-output .ts-Дробь2.sfrac.tion.mini,.mw-parser-output .ts-Дробь2.sfrac .tion.mini{font-size:85%}.mw-parser-output .ts-Дробь2.sfrac .num,.mw-parser-output .ts-Дробь2.sfrac .den{display:block;line-height:1.2em;margin:0 0.1em}.mw-parser-output .ts-Дробь2.sfrac .den{border-top:1px solid}</style><span role="math" class="ts-Дробь2 sfrac tion"><span class="num">10</span><style data-mw-deduplicate="TemplateStyles:r141393682">.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px;white-space:nowrap}</style><span class="sr-only">/</span><span class="den">71</span></span>, но меньше 3<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141390283"><span role="math" class="ts-Дробь2 sfrac tion"><span class="num">1</span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141393682"><span class="sr-only">/</span><span class="den">7</span></span>, вычислив периметры вписанного и описанного многоугольника с 96 сторонами<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup>. Этот метод аппроксимации числа <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>&#x03C0;<!-- 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> использовался столетиями, так как имел бо́льшую точность, чем формулы многоугольников с большим числом сторон. Последнее такое вычисление производилось в 1630 году <span data-interwiki-lang="en" data-interwiki-article="Christoph Grienberger"><a href="/w/index.php?title=%D0%93%D1%80%D0%B8%D0%BD%D0%B1%D0%B5%D1%80%D0%B3%D0%B5%D1%80,_%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%BE%D1%84&amp;action=edit&amp;redlink=1" class="new" title="Гринбергер, Кристоф (страница отсутствует)">Кристофом Гринбергером</a></span><sup class="noprint" style="font-style:normal; font-weight:normal;"><a href="https://en.wikipedia.org/wiki/Christoph_Grienberger" class="extiw" title="en:Christoph Grienberger"><span title="Christoph Grienberger — версия статьи «Гринбергер, Кристоф» на английском языке">[англ.]</span></a></sup>, использовавшим многоугольники с 10<sup>40</sup> сторонами. </p> <div class="mw-heading mw-heading2"><h2 id="См._также"><span id=".D0.A1.D0.BC._.D1.82.D0.B0.D0.BA.D0.B6.D0.B5"></span>См. также</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a 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неравенство</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Примечания"><span id=".D0.9F.D1.80.D0.B8.D0.BC.D0.B5.D1.87.D0.B0.D0.BD.D0.B8.D1.8F"></span>Примечания</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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&amp;veaction=edit&amp;section=3" title="Редактировать раздел «Примечания»" class="mw-editsection-visualeditor"><span>править</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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&amp;action=edit&amp;section=3" title="Редактировать код раздела «Примечания»"><span>править код</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r141305934">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a::after,.mw-parser-output .id-lock-limited a::after,.mw-parser-output .id-lock-registration a::after,.mw-parser-output .id-lock-subscription a::after,.mw-parser-output .cs1-ws-icon a::after{content:"";width:1.1em;height:1.1em;display:inline-block;vertical-align:middle;background-position:center;background-repeat:no-repeat;background-size:contain}.mw-parser-output .id-lock-free.id-lock-free a::after{background-image:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")}.mw-parser-output .id-lock-limited.id-lock-limited a::after,.mw-parser-output .id-lock-registration.id-lock-registration a::after{background-image:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")}.mw-parser-output .id-lock-subscription.id-lock-subscription a::after{background-image:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")}.mw-parser-output .cs1-ws-icon a::after{background-image:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}html.skin-theme-clientpref-night .mw-parser-output .id-lock-free a::after,html.skin-theme-clientpref-night .mw-parser-output .id-lock-limited a::after,html.skin-theme-clientpref-night .mw-parser-output .id-lock-registration a::after,html.skin-theme-clientpref-night .mw-parser-output .id-lock-subscription a::after{filter:invert(1)hue-rotate(180deg)}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}html.skin-theme-clientpref-os .mw-parser-output .id-lock-free a::after,html.skin-theme-clientpref-os .mw-parser-output .id-lock-limited a::after,html.skin-theme-clientpref-os .mw-parser-output .id-lock-registration a::after,html.skin-theme-clientpref-os .mw-parser-output .id-lock-subscription a::after{filter:invert(1)hue-rotate(180deg)}}</style><cite id="CITEREFBennettBriggs2005" class="citation cs2">Bennett, Jeffrey; Briggs, William (2005), <i>Using and Understanding Mathematics / A Quantitative Reasoning Approach (англ.)</i> (3rd&#160;ed.), Addison-Wesley, p.&#160;580, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%98%D1%81%D1%82%D0%BE%D1%87%D0%BD%D0%B8%D0%BA%D0%B8_%D0%BA%D0%BD%D0%B8%D0%B3/978-0-321-22773-7" title="Служебная:Источники книг/978-0-321-22773-7"><bdi>978-0-321-22773-7</bdi></a></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Using+and+Understanding+Mathematics+%2F+A+Quantitative+Reasoning+Approach+%28%D0%B0%D0%BD%D0%B3%D0%BB.%29&amp;rft.pages=580&amp;rft.edition=3rd&amp;rft.pub=Addison-Wesley&amp;rft.date=2005&amp;rft.isbn=978-0-321-22773-7&amp;rft.aulast=Bennett&amp;rft.aufirst=Jeffrey&amp;rft.au=Briggs%2C+William&amp;rfr_id=info%3Asid%2Fru.wikipedia.org%3A%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" class="Z3988"></span> </span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation"><i><a href="/wiki/San_Diego_State_University" class="mw-redirect" title="San Diego State University">San Diego State University.</a></i>&#32;<span lang="und"><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></span><span class="hidden-ref" style="display:none;">&#160;&#160;<small class="ref-info" style="cursor:help;" title="на неопределённом языке">(неопр.)</small></span>.&#32;<a href="/wiki/Addison-Wesley" title="Addison-Wesley">Addison-Wesley</a>&#32;(2004).&#32;Дата обращения: 6 марта 2020.&#32;Архивировано из <a rel="nofollow" class="external text" href="http://www-rohan.sdsu.edu/~pwbrock/files/UNIT9.3.pdf">оригинала</a> 6 октября 2014 года.</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141305934"><cite id="CITEREFJacobs1974" class="citation cs2">Jacobs, Harold R. (1974), <i>Geometry (англ.)</i>, W. H. Freeman and Co., p.&#160;565, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%98%D1%81%D1%82%D0%BE%D1%87%D0%BD%D0%B8%D0%BA%D0%B8_%D0%BA%D0%BD%D0%B8%D0%B3/0-7167-0456-0" title="Служебная:Источники книг/0-7167-0456-0"><bdi>0-7167-0456-0</bdi></a></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Geometry+%28%D0%B0%D0%BD%D0%B3%D0%BB.%29&amp;rft.pages=565&amp;rft.pub=W.+H.+Freeman+and+Co.&amp;rft.date=1974&amp;rft.isbn=0-7167-0456-0&amp;rft.aulast=Jacobs&amp;rft.aufirst=Harold+R.&amp;rfr_id=info%3Asid%2Fru.wikipedia.org%3A%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" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141305934"><cite id="CITEREFSloane,_N._J._A._Sequence_A000796" class="citation cs2">Sloane, N.&#160;J.&#160;A. Sequence <a href="//oeis.org/A000796" class="extiw" title="oeis:A000796">A000796</a>, <i><a href="/wiki/%D0%AD%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F_%D1%86%D0%B5%D0%BB%D0%BE%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8B%D1%85_%D0%BF%D0%BE%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D1%81%D1%82%D0%B5%D0%B9" class="mw-redirect" title="Энциклопедия целочисленных последовательностей">On-Line Encyclopedia of Integer Sequences OEIS</a></i>, OEIS Foundation.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=On-Line+Encyclopedia+of+Integer+Sequences+OEIS&amp;rft.pub=OEIS+Foundation.&amp;rft.au=Sloane%2C+N.%C2%A0J.%C2%A0A.+Sequence+A000796&amp;rfr_id=info%3Asid%2Fru.wikipedia.org%3A%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" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD:Citation" title="Шаблон:Citation">citation</a>}}</code>: Википедия:Обслуживание CS1 (числовые имена: authors list) (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9E%D0%B1%D1%81%D0%BB%D1%83%D0%B6%D0%B8%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_CS1_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE%D0%B2%D1%8B%D0%B5_%D0%B8%D0%BC%D0%B5%D0%BD%D0%B0:_authors_list)" title="Категория:Википедия:Обслуживание CS1 (числовые имена: authors list)">ссылка</a>)</span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141305934"><cite id="CITEREFKatz1998" class="citation cs2">Katz, Victor J. (1998), <span class="id-lock-registration" title="Требуется бесплатная регистрация"><a rel="nofollow" class="external text" href="https://archive.org/details/historyofmathema00katz/page/109"><i>A History of Mathematics / An Introduction (англ.)</i></a></span> (2nd&#160;ed.), Addison-Wesley Longman, p.&#160;<a rel="nofollow" class="external text" href="https://archive.org/details/historyofmathema00katz/page/109">109</a>, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%98%D1%81%D1%82%D0%BE%D1%87%D0%BD%D0%B8%D0%BA%D0%B8_%D0%BA%D0%BD%D0%B8%D0%B3/978-0-321-01618-8" title="Служебная:Источники книг/978-0-321-01618-8"><bdi>978-0-321-01618-8</bdi></a></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=A+History+of+Mathematics+%2F+An+Introduction+%28%D0%B0%D0%BD%D0%B3%D0%BB.%29&amp;rft.pages=109&amp;rft.edition=2nd&amp;rft.pub=Addison-Wesley+Longman&amp;rft.date=1998&amp;rft.isbn=978-0-321-01618-8&amp;rft.aulast=Katz&amp;rft.aufirst=Victor+J.&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fhistoryofmathema00katz%2Fpage%2F109&amp;rfr_id=info%3Asid%2Fru.wikipedia.org%3A%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" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Литература"><span id=".D0.9B.D0.B8.D1.82.D0.B5.D1.80.D0.B0.D1.82.D1.83.D1.80.D0.B0"></span>Литература</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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&amp;veaction=edit&amp;section=4" title="Редактировать раздел «Литература»" class="mw-editsection-visualeditor"><span>править</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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&amp;action=edit&amp;section=4" title="Редактировать код раздела «Литература»"><span>править код</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141305934"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i><a href="/wiki/%D0%90%D1%82%D0%B0%D0%BD%D0%B0%D1%81%D1%8F%D0%BD,_%D0%9B%D0%B5%D0%B2%D0%BE%D0%BD_%D0%A1%D0%B5%D1%80%D0%B3%D0%B5%D0%B5%D0%B2%D0%B8%D1%87" title="Атанасян, Левон Сергеевич">Атанасян Л. С.</a>, <a href="/wiki/%D0%91%D1%83%D1%82%D1%83%D0%B7%D0%BE%D0%B2,_%D0%92%D0%B0%D0%BB%D0%B5%D0%BD%D1%82%D0%B8%D0%BD_%D0%A4%D1%91%D0%B4%D0%BE%D1%80%D0%BE%D0%B2%D0%B8%D1%87" title="Бутузов, Валентин Фёдорович">Бутузов В. Ф.</a> и др.</i>&#32;<span data-wikidata-qualifier-id="P248">Дополнительные главы к учебнику 8 класса</span>&#32;&#47;&#47;&#32;Геометрия.&#160;— 3-е издание.&#160;— <abbr title="Москва">М.</abbr>: Вита-Пресс, 2003.</span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141305934"><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFСправочник_по_элементарной_математике1978"><i><a href="/wiki/%D0%92%D1%8B%D0%B3%D0%BE%D0%B4%D1%81%D0%BA%D0%B8%D0%B9,_%D0%9C%D0%B0%D1%80%D0%BA_%D0%AF%D0%BA%D0%BE%D0%B2%D0%BB%D0%B5%D0%B2%D0%B8%D1%87" title="Выгодский, Марк Яковлевич">Выгодский М. Я.</a></i>&#32;Справочник по элементарной математике.&#160;— <abbr title="Москва">М.</abbr>: Наука, 1978.</span> <ul><li>Переиздание: М.: АСТ, 2006, <a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%98%D1%81%D1%82%D0%BE%D1%87%D0%BD%D0%B8%D0%BA%D0%B8_%D0%BA%D0%BD%D0%B8%D0%B3/5170095546" class="internal mw-magiclink-isbn">ISBN 5-17-009554-6</a>, 509 стр.</li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Ссылки"><span id=".D0.A1.D1.81.D1.8B.D0.BB.D0.BA.D0.B8"></span>Ссылки</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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&amp;veaction=edit&amp;section=5" title="Редактировать раздел «Ссылки»" class="mw-editsection-visualeditor"><span>править</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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&amp;action=edit&amp;section=5" title="Редактировать код раздела «Ссылки»"><span>править код</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r141520016">.mw-parser-output .ts-Родственный_проект{background:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);font-size:90%;margin:0 0 1em;padding:.4em;max-width:19em;width:19em;line-height:1.5}.mw-parser-output .ts-Родственный_проект th,.mw-parser-output .ts-Родственный_проект td{padding:.2em 0;vertical-align:middle}.mw-parser-output .ts-Родственный_проект th+td{padding-left:.4em}@media(min-width:720px){.mw-parser-output .ts-Родственный_проект{clear:right;float:right;width:19em;margin-left:1em}}</style> <table role="presentation" class="metadata plainlinks ts-Родственный_проект noprint ruwikiWikimediaNavigation"> <tbody><tr> <th style="width:10%;"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Notification-icon-Wikibooks-logo.svg/24px-Notification-icon-Wikibooks-logo.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Notification-icon-Wikibooks-logo.svg/36px-Notification-icon-Wikibooks-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Notification-icon-Wikibooks-logo.svg/48px-Notification-icon-Wikibooks-logo.svg.png 2x" data-file-width="30" data-file-height="30" /></span></span> </th> <td>Имеется <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D1%83%D1%87%D0%B5%D0%B1%D0%BD%D0%B8%D0%BA" title="Викиучебник">викиучебник</a> по теме <span class="wikibooks-ref"><b>«<a href="https://ru.wikibooks.org/wiki/Geometry" class="extiw" title="b:Geometry">Circles/Arcs</a>»</b></span> </td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r141520016"> <table role="presentation" class="metadata plainlinks ts-Родственный_проект noprint ruwikiWikimediaNavigation"> <tbody><tr> <th style="width:10%;"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Notification-icon-Wiktionary-logo.svg/24px-Notification-icon-Wiktionary-logo.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Notification-icon-Wiktionary-logo.svg/36px-Notification-icon-Wiktionary-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Notification-icon-Wiktionary-logo.svg/48px-Notification-icon-Wiktionary-logo.svg.png 2x" data-file-width="30" data-file-height="30" /></span></span> </th> <td>В <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D1%81%D0%BB%D0%BE%D0%B2%D0%B0%D1%80%D1%8C" title="Викисловарь">Викисловаре</a> есть статья «<span class="wikidict-ref"><b><a href="https://ru.wiktionary.org/wiki/%D0%B4%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" class="extiw" title="wikt:длина окружности">длина окружности</a></b></span>» </td></tr></tbody></table></div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Источник — <a dir="ltr" href="https://ru.wikipedia.org/w/index.php?title=Длина_окружности&amp;oldid=130885707">https://ru.wikipedia.org/w/index.php?title=Длина_окружности&amp;oldid=130885707</a></div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8" title="Служебная:Категории">Категория</a>: <ul><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%9E%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Категория:Окружности">Окружности</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Скрытые категории: <ul><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A1%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%8B,_%D0%B8%D1%81%D0%BF%D0%BE%D0%BB%D1%8C%D0%B7%D1%83%D1%8E%D1%89%D0%B8%D0%B5_%D1%80%D0%B0%D1%81%D1%88%D0%B8%D1%80%D0%B5%D0%BD%D0%B8%D0%B5_JsonConfig" title="Категория:Страницы, использующие расширение JsonConfig">Страницы, использующие расширение JsonConfig</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:Cite_web_(%D0%BD%D0%B5_%D1%83%D0%BA%D0%B0%D0%B7%D0%B0%D0%BD_%D1%8F%D0%B7%D1%8B%D0%BA)" title="Категория:Википедия:Cite web (не указан язык)">Википедия:Cite web (не указан язык)</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9E%D0%B1%D1%81%D0%BB%D1%83%D0%B6%D0%B8%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_CS1_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE%D0%B2%D1%8B%D0%B5_%D0%B8%D0%BC%D0%B5%D0%BD%D0%B0:_authors_list)" title="Категория:Википедия:Обслуживание CS1 (числовые имена: authors list)">Википедия:Обслуживание CS1 (числовые имена: authors list)</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D1%81%D1%8B%D0%BB%D0%BA%D0%B0_%D0%BD%D0%B0_%D0%92%D0%B8%D0%BA%D0%B8%D1%83%D1%87%D0%B5%D0%B1%D0%BD%D0%B8%D0%BA_%D0%BD%D0%B5%D0%BF%D0%BE%D1%81%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B2%D0%B5%D0%BD%D0%BD%D0%BE_%D0%B2_%D1%81%D1%82%D0%B0%D1%82%D1%8C%D0%B5" title="Категория:Википедия:Ссылка на Викиучебник непосредственно в статье">Википедия:Ссылка на Викиучебник непосредственно в статье</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A1%D1%82%D0%B0%D1%82%D1%8C%D0%B8_%D1%81%D0%BE_%D1%81%D1%81%D1%8B%D0%BB%D0%BA%D0%B0%D0%BC%D0%B8_%D0%BD%D0%B0_%D0%92%D0%B8%D0%BA%D0%B8%D1%81%D0%BB%D0%BE%D0%B2%D0%B0%D1%80%D1%8C" title="Категория:Статьи со ссылками на Викисловарь">Статьи со ссылками на Викисловарь</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A1%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%8B,_%D0%B8%D1%81%D0%BF%D0%BE%D0%BB%D1%8C%D0%B7%D1%83%D1%8E%D1%89%D0%B8%D0%B5_%D0%B2%D0%BE%D0%BB%D1%88%D0%B5%D0%B1%D0%BD%D1%8B%D0%B5_%D1%81%D1%81%D1%8B%D0%BB%D0%BA%D0%B8_ISBN" title="Категория:Страницы, использующие волшебные ссылки ISBN">Страницы, использующие волшебные ссылки ISBN</a></li></ul></div></div> </div> </div> <div id="mw-navigation"> <h2>Навигация</h2> <div id="mw-head"> <nav id="p-personal" class="mw-portlet mw-portlet-personal vector-user-menu-legacy vector-menu" aria-labelledby="p-personal-label" > <h3 id="p-personal-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Персональные инструменты</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anonuserpage" class="mw-list-item"><span title="Страница участника для моего IP">Вы не представились системе</span></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%9C%D0%BE%D1%91_%D0%BE%D0%B1%D1%81%D1%83%D0%B6%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5" title="Страница обсуждений для моего IP [n]" accesskey="n"><span>Обсуждение</span></a></li><li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%9C%D0%BE%D0%B9_%D0%B2%D0%BA%D0%BB%D0%B0%D0%B4" title="Список правок, сделанных с этого IP-адреса [y]" accesskey="y"><span>Вклад</span></a></li><li id="pt-createaccount" class="mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%A1%D0%BE%D0%B7%D0%B4%D0%B0%D1%82%D1%8C_%D1%83%D1%87%D1%91%D1%82%D0%BD%D1%83%D1%8E_%D0%B7%D0%B0%D0%BF%D0%B8%D1%81%D1%8C&amp;returnto=%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="Мы предлагаем вам создать учётную запись и войти в систему, хотя это и не обязательно."><span>Создать учётную запись</span></a></li><li id="pt-login" class="mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%92%D1%85%D0%BE%D0%B4&amp;returnto=%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="Здесь можно зарегистрироваться в системе, но это необязательно. [o]" accesskey="o"><span>Войти</span></a></li> </ul> </div> </nav> <div id="left-navigation"> <nav id="p-namespaces" class="mw-portlet mw-portlet-namespaces vector-menu-tabs vector-menu-tabs-legacy vector-menu" aria-labelledby="p-namespaces-label" > <h3 id="p-namespaces-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Пространства имён</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected mw-list-item"><a href="/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="Просмотреть контентную страницу [c]" accesskey="c"><span>Статья</span></a></li><li id="ca-talk" class="mw-list-item"><a href="/wiki/%D0%9E%D0%B1%D1%81%D1%83%D0%B6%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5:%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" rel="discussion" title="Обсуждение основной страницы [t]" accesskey="t"><span>Обсуждение</span></a></li> </ul> </div> </nav> <nav id="p-variants" class="mw-portlet mw-portlet-variants emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-variants-label" > <input type="checkbox" id="p-variants-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-variants" class="vector-menu-checkbox" aria-labelledby="p-variants-label" > <label id="p-variants-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">русский</span> </label> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </nav> </div> <div id="right-navigation"> <nav id="p-views" class="mw-portlet mw-portlet-views vector-menu-tabs vector-menu-tabs-legacy vector-menu" aria-labelledby="p-views-label" > <h3 id="p-views-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Просмотры</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected mw-list-item"><a href="/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"><span>Читать</span></a></li><li id="ca-ve-edit" class="mw-list-item"><a href="/w/index.php?title=%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&amp;veaction=edit" title="Редактировать данную страницу [v]" accesskey="v"><span>Править</span></a></li><li id="ca-edit" class="collapsible mw-list-item"><a href="/w/index.php?title=%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&amp;action=edit" title="Править исходный текст этой страницы [e]" accesskey="e"><span>Править код</span></a></li><li id="ca-history" class="mw-list-item"><a href="/w/index.php?title=%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&amp;action=history" title="Журнал изменений страницы [h]" accesskey="h"><span>История</span></a></li> </ul> </div> </nav> <nav id="p-cactions" class="mw-portlet mw-portlet-cactions emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-cactions-label" title="Больше возможностей" > <input type="checkbox" id="p-cactions-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-cactions" class="vector-menu-checkbox" aria-labelledby="p-cactions-label" > <label id="p-cactions-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Ещё</span> </label> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </nav> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <h3 >Поиск</h3> <form action="/w/index.php" id="searchform" class="vector-search-box-form"> <div id="simpleSearch" class="vector-search-box-inner" data-search-loc="header-navigation"> <input class="vector-search-box-input" type="search" name="search" placeholder="Искать в Википедии" aria-label="Искать в Википедии" autocapitalize="sentences" title="Искать в Википедии [f]" accesskey="f" id="searchInput" > <input type="hidden" name="title" value="Служебная:Поиск"> <input id="mw-searchButton" class="searchButton mw-fallbackSearchButton" type="submit" name="fulltext" title="Найти страницы, содержащие указанный текст" value="Найти"> <input id="searchButton" class="searchButton" type="submit" name="go" title="Перейти к странице, имеющей в точности такое название" value="Перейти"> </div> </form> </div> </div> </div> <div id="mw-panel" class="vector-legacy-sidebar"> <div id="p-logo" role="banner"> <a class="mw-wiki-logo" href="/wiki/%D0%97%D0%B0%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Перейти на заглавную страницу"></a> </div> <nav id="p-navigation" class="mw-portlet mw-portlet-navigation vector-menu-portal portal vector-menu" aria-labelledby="p-navigation-label" > <h3 id="p-navigation-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Навигация</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%D0%97%D0%B0%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Перейти на заглавную страницу [z]" accesskey="z"><span>Заглавная страница</span></a></li><li id="n-content" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D0%BE%D0%B4%D0%B5%D1%80%D0%B6%D0%B0%D0%BD%D0%B8%D0%B5"><span>Содержание</span></a></li><li id="n-featured" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%98%D0%B7%D0%B1%D1%80%D0%B0%D0%BD%D0%BD%D1%8B%D0%B5_%D1%81%D1%82%D0%B0%D1%82%D1%8C%D0%B8" title="Статьи, считающиеся лучшими статьями проекта"><span>Избранные статьи</span></a></li><li id="n-randompage" class="mw-list-item"><a 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class="mw-portlet mw-portlet-tb vector-menu-portal portal vector-menu" aria-labelledby="p-tb-label" > <h3 id="p-tb-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Инструменты</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%A1%D1%81%D1%8B%D0%BB%D0%BA%D0%B8_%D1%81%D1%8E%D0%B4%D0%B0/%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="Список всех страниц, ссылающихся на данную [j]" accesskey="j"><span>Ссылки сюда</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%A1%D0%B2%D1%8F%D0%B7%D0%B0%D0%BD%D0%BD%D1%8B%D0%B5_%D0%BF%D1%80%D0%B0%D0%B2%D0%BA%D0%B8/%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" rel="nofollow" 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href="/w/index.php?title=%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:QrCode&amp;url=https%3A%2F%2Fru.wikipedia.org%2Fwiki%2F%25D0%2594%25D0%25BB%25D0%25B8%25D0%25BD%25D0%25B0_%25D0%25BE%25D0%25BA%25D1%2580%25D1%2583%25D0%25B6%25D0%25BD%25D0%25BE%25D1%2581%25D1%2582%25D0%25B8"><span>Скачать QR-код</span></a></li> </ul> </div> </nav> <nav id="p-coll-print_export" class="mw-portlet mw-portlet-coll-print_export vector-menu-portal portal vector-menu" aria-labelledby="p-coll-print_export-label" > <h3 id="p-coll-print_export-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Печать/экспорт</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:DownloadAsPdf&amp;page=%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&amp;action=show-download-screen" title="Скачать эту страницу как файл PDF"><span>Скачать как PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%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&amp;printable=yes" title="Версия этой страницы для печати [p]" accesskey="p"><span>Версия для печати</span></a></li> </ul> </div> </nav> <nav id="p-wikibase-otherprojects" class="mw-portlet mw-portlet-wikibase-otherprojects vector-menu-portal portal vector-menu" aria-labelledby="p-wikibase-otherprojects-label" > <h3 id="p-wikibase-otherprojects-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">В других проектах</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q843905" title="Ссылка на связанный элемент репозитория данных [g]" accesskey="g"><span>Элемент Викиданных</span></a></li> </ul> </div> </nav> <nav id="p-lang" class="mw-portlet mw-portlet-lang vector-menu-portal portal vector-menu" aria-labelledby="p-lang-label" > <h3 id="p-lang-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">На других языках</span> </h3> <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 — арабский" lang="ar" hreflang="ar" data-title="محيط منحنى مغلق" data-language-autonym="العربية" data-language-local-name="арабский" 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 — ассамский" lang="as" hreflang="as" data-title="পৰিধি" data-language-autonym="অসমীয়া" data-language-local-name="ассамский" 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 — болгарский" lang="bg" hreflang="bg" data-title="Обиколка" data-language-autonym="Български" data-language-local-name="болгарский" 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 — бенгальский" lang="bn" hreflang="bn" data-title="পরিধি" data-language-autonym="বাংলা" data-language-local-name="бенгальский" 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 — валлийский" lang="cy" hreflang="cy" data-title="Cylchedd" data-language-autonym="Cymraeg" data-language-local-name="валлийский" 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 — немецкий" lang="de" hreflang="de" data-title="Kreisumfang" data-language-autonym="Deutsch" data-language-local-name="немецкий" 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) — греческий" lang="el" hreflang="el" data-title="Περιφέρεια (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="греческий" 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 — английский" lang="en" hreflang="en" data-title="Circumference" data-language-autonym="English" data-language-local-name="английский" 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 — испанский" lang="es" hreflang="es" data-title="Circunferencia" data-language-autonym="Español" data-language-local-name="испанский" 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 — баскский" lang="eu" hreflang="eu" data-title="Zirkunferentzia" data-language-autonym="Euskara" data-language-local-name="баскский" 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 — персидский" lang="fa" hreflang="fa" data-title="محیط منحنی" data-language-autonym="فارسی" data-language-local-name="персидский" 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) — финский" lang="fi" hreflang="fi" data-title="Kehä (geometria)" data-language-autonym="Suomi" data-language-local-name="финский" 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 — французский" lang="fr" hreflang="fr" data-title="Circonférence" data-language-autonym="Français" data-language-local-name="французский" 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 — ирландский" lang="ga" hreflang="ga" data-title="Imlíne" data-language-autonym="Gaeilge" data-language-local-name="ирландский" 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 — гуджарати" lang="gu" hreflang="gu" data-title="વર્તુળનો પરિઘ" data-language-autonym="ગુજરાતી" data-language-local-name="гуджарати" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%A7%E0%A4%BF" title="परिधि — хинди" lang="hi" hreflang="hi" data-title="परिधि" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%87%D6%80%D5%BB%D5%A1%D5%B6%D5%A1%D5%A3%D5%AE%D5%AB_%D5%A5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Շրջանագծի երկարություն — армянский" lang="hy" hreflang="hy" data-title="Շրջանագծի երկարություն" data-language-autonym="Հայերեն" data-language-local-name="армянский" 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 — интерлингва" lang="ia" hreflang="ia" data-title="Circumferentia" 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_lingkaran" title="Keliling lingkaran — индонезийский" lang="id" hreflang="id" data-title="Keliling lingkaran" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийский" 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 — исландский" lang="is" hreflang="is" data-title="Ummál" data-language-autonym="Íslenska" data-language-local-name="исландский" 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 — японский" lang="ja" hreflang="ja" data-title="円周" data-language-autonym="日本語" data-language-local-name="японский" 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 — кабильский" lang="kab" hreflang="kab" data-title="Taseɣleyt" data-language-autonym="Taqbaylit" data-language-local-name="кабильский" 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 — каннада" lang="kn" hreflang="kn" data-title="ಪರಿಧಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада" 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 — корейский" lang="ko" hreflang="ko" data-title="원둘레" data-language-autonym="한국어" data-language-local-name="корейский" 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 — латинский" lang="la" hreflang="la" data-title="Circumferentia" data-language-autonym="Latina" data-language-local-name="латинский" 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) — ганда" lang="lg" hreflang="lg" data-title="Obwetoloovu (Circumference)" data-language-autonym="Luganda" data-language-local-name="ганда" 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 — литовский" lang="lt" hreflang="lt" data-title="Apskritimo ilgis" data-language-autonym="Lietuvių" data-language-local-name="литовский" 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) — македонский" lang="mk" hreflang="mk" data-title="Обиколка (геометрија)" data-language-autonym="Македонски" data-language-local-name="македонский" 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 — маратхи" lang="mr" hreflang="mr" data-title="परीघ" data-language-autonym="मराठी" data-language-local-name="маратхи" 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 — окситанский" lang="oc" hreflang="oc" data-title="Circonferéncia" data-language-autonym="Occitan" data-language-local-name="окситанский" 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 — португальский" lang="pt" hreflang="pt" data-title="Comprimento da circunferência" data-language-autonym="Português" data-language-local-name="португальский" 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 — румынский" lang="ro" hreflang="ro" data-title="Circumferință" data-language-autonym="Română" data-language-local-name="румынский" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Circunfirenza" title="Circunfirenza — сицилийский" lang="scn" hreflang="scn" data-title="Circunfirenza" data-language-autonym="Sicilianu" data-language-local-name="сицилийский" 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) — суахили" lang="sw" hreflang="sw" data-title="Mzingo (jiometria)" data-language-autonym="Kiswahili" data-language-local-name="суахили" 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 — тайский" lang="th" hreflang="th" data-title="เส้นรอบวง" data-language-autonym="ไทย" data-language-local-name="тайский" 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 — тагалог" lang="tl" hreflang="tl" data-title="Sirkumperensiya" data-language-autonym="Tagalog" data-language-local-name="тагалог" 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) — турецкий" lang="tr" hreflang="tr" data-title="Çevre (geometri)" data-language-autonym="Türkçe" data-language-local-name="турецкий" 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 — украинский" lang="uk" hreflang="uk" data-title="Окружність" data-language-autonym="Українська" data-language-local-name="украинский" 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 — вьетнамский" lang="vi" hreflang="vi" data-title="Chu vi hình tròn" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнамский" 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 — чжуань" lang="za" hreflang="za" data-title="Hopluenz" data-language-autonym="Vahcuengh" data-language-local-name="чжуань" 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 — китайский" lang="zh" hreflang="zh" data-title="圓周" data-language-autonym="中文" data-language-local-name="китайский" 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 — кантонский" lang="yue" hreflang="yue" data-title="圓周" data-language-autonym="粵語" data-language-local-name="кантонский" 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 href="https://www.wikidata.org/wiki/Special:EntityPage/Q843905#sitelinks-wikipedia" title="Править ссылки на другие языки" class="wbc-editpage">Править ссылки</a></span></div> </div> </nav> </div> </div> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Эта страница в последний раз была отредактирована 6 июня 2023 в 15:43.</li> <li id="footer-info-copyright">Текст доступен по <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.ru">лицензии Creative Commons «С указанием авторства — С сохранением условий» (CC BY-SA)</a>; в отдельных случаях могут действовать дополнительные условия. <span class="noprint">Подробнее см. <a class="external text" href="https://foundation.wikimedia.org/wiki/Policy:Terms_of_Use/ru">Условия использования</a>.</span><br 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