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class="vector-pinnable-header-label">Saturs</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">paslēpt</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">Sākums</div> </a> </li> <li id="toc-Ar_riņķa_līniju_saistīti_jēdzieni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ar_riņķa_līniju_saistīti_jēdzieni"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Ar riņķa līniju saistīti jēdzieni</span> </div> </a> <ul id="toc-Ar_riņķa_līniju_saistīti_jēdzieni-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Riņķa_līnijas_īpašības" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Riņķa_līnijas_īpašības"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Riņķa līnijas īpašības</span> </div> </a> <ul id="toc-Riņķa_līnijas_īpašības-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Riņķa_līnijas_garuma_aprēķināšana" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Riņķa_līnijas_garuma_aprēķināšana"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Riņķa līnijas garuma aprēķināšana</span> </div> </a> <ul id="toc-Riņķa_līnijas_garuma_aprēķināšana-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Riņķa_līnijas_loks" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Riņķa_līnijas_loks"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Riņķa līnijas loks</span> </div> </a> <ul id="toc-Riņķa_līnijas_loks-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Apvilktas_riņķa_līnijas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Apvilktas_riņķa_līnijas"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Apvilktas riņķa līnijas</span> </div> </a> <ul id="toc-Apvilktas_riņķa_līnijas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ievilktas_riņķa_līnijas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ievilktas_riņķa_līnijas"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Ievilktas riņķa līnijas</span> </div> </a> <ul id="toc-Ievilktas_riņķa_līnijas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Riņķa_līnijas_vienādojums" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Riņķa_līnijas_vienādojums"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Riņķa līnijas vienādojums</span> </div> </a> <button aria-controls="toc-Riņķa_līnijas_vienādojums-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>Pārslēgt Riņķa līnijas vienādojums apakšsadaļu</span> </button> <ul id="toc-Riņķa_līnijas_vienādojums-sublist" class="vector-toc-list"> <li id="toc-Polārajā_koordinātu_sistēmā" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Polārajā_koordinātu_sistēmā"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>Polārajā koordinātu sistēmā</span> </div> </a> <ul id="toc-Polārajā_koordinātu_sistēmā-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dekarta_koordinātu_sistēmā" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Dekarta_koordinātu_sistēmā"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.2</span> <span>Dekarta koordinātu sistēmā</span> </div> </a> <ul id="toc-Dekarta_koordinātu_sistēmā-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Vēsture" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vēsture"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Vēsture</span> </div> </a> <ul id="toc-Vēsture-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Atsauces" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Atsauces"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Atsauces</span> </div> </a> <ul id="toc-Atsauces-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Skatīt_arī" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Skatīt_arī"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Skatīt arī</span> </div> </a> <ul id="toc-Skatīt_arī-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Papildu_literatūra" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Papildu_literatūra"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Papildu literatūra</span> </div> </a> <ul id="toc-Papildu_literatūra-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ārējās_saites" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ārējās_saites"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Ārējās saites</span> </div> </a> <ul id="toc-Ārējās_saites-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="Saturs" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Satura rādītājs" > <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="Pārslēgt satura rādītāju" > <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">Pārslēgt satura rādītāju</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">Riņķa līnija</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="Pāriet uz rakstu citā valodā. Pieejams 144 valodās" > <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-144" 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">144 valodas</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/Sirkel" title="Sirkel – afrikandu" lang="af" hreflang="af" data-title="Sirkel" data-language-autonym="Afrikaans" data-language-local-name="afrikandu" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Kreis_(Geometrie)" title="Kreis (Geometrie) – Šveices vācu" lang="gsw" hreflang="gsw" data-title="Kreis (Geometrie)" data-language-autonym="Alemannisch" data-language-local-name="Šveices vācu" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%AD%E1%89%A5" title="ክብ – amharu" lang="am" hreflang="am" data-title="ክብ" data-language-autonym="አማርኛ" data-language-local-name="amharu" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Circumferencia" title="Circumferencia – aragoniešu" lang="an" hreflang="an" data-title="Circumferencia" data-language-autonym="Aragonés" data-language-local-name="aragoniešu" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar badge-Q17437796 badge-featuredarticle mw-list-item" title="vērtīgs raksts"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%A7%D8%A6%D8%B1%D8%A9" title="دائرة – arābu" lang="ar" hreflang="ar" data-title="دائرة" data-language-autonym="العربية" data-language-local-name="arābu" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%AF%D8%A7%D9%8A%D8%B1%D9%87" title="دايره – Egyptian Arabic" lang="arz" hreflang="arz" data-title="دايره" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="বৃত্ত – asamiešu" lang="as" hreflang="as" data-title="বৃত্ত" data-language-autonym="অসমীয়া" data-language-local-name="asamiešu" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Circunferencia" title="Circunferencia – astūriešu" lang="ast" hreflang="ast" data-title="Circunferencia" data-language-autonym="Asturianu" data-language-local-name="astūriešu" 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/Muyu" title="Muyu – aimaru" lang="ay" hreflang="ay" data-title="Muyu" data-language-autonym="Aymar aru" data-language-local-name="aimaru" 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/%C3%87evr%C9%99" title="Çevrə – azerbaidžāņu" lang="az" hreflang="az" data-title="Çevrə" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžāņu" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%AF%D8%A7%DB%8C%D8%B1%D9%87" title="دایره – South Azerbaijani" lang="azb" hreflang="azb" data-title="دایره" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D3%98%D0%B9%D0%BB%D3%99%D0%BD%D3%99" title="Әйләнә – baškīru" lang="ba" hreflang="ba" data-title="Әйләнә" data-language-autonym="Башҡортса" data-language-local-name="baškīru" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Apskr%C4%97t%C4%97ms" title="Apskrėtėms – Samogitian" lang="sgs" hreflang="sgs" data-title="Apskrėtėms" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Bilog" title="Bilog – Central Bikol" lang="bcl" hreflang="bcl" data-title="Bilog" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B0%D1%81%D1%86%D1%8C" title="Акружнасць – baltkrievu" lang="be" hreflang="be" data-title="Акружнасць" data-language-autonym="Беларуская" data-language-local-name="baltkrievu" 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%90%D0%BA%D1%80%D1%83%D0%B6%D1%8B%D0%BD%D0%B0" title="Акружына – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Акружына" 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%9E%D0%BA%D1%80%D1%8A%D0%B6%D0%BD%D0%BE%D1%81%D1%82" title="Окръжност – bulgāru" lang="bg" hreflang="bg" data-title="Окръжност" data-language-autonym="Български" data-language-local-name="bulgāru" 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%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="বৃত্ত – bengāļu" lang="bn" hreflang="bn" data-title="বৃত্ত" data-language-autonym="বাংলা" data-language-local-name="bengāļu" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A6%E0%BE%92%E0%BD%BC%E0%BD%A2%E0%BC%8B%E0%BD%90%E0%BD%B2%E0%BD%82%E0%BC%8B" title="སྒོར་ཐིག་ – tibetiešu" lang="bo" hreflang="bo" data-title="སྒོར་ཐིག་" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetiešu" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Kelc%27h" title="Kelc'h – bretoņu" lang="br" hreflang="br" data-title="Kelc'h" data-language-autonym="Brezhoneg" data-language-local-name="bretoņu" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kru%C5%BEnica" title="Kružnica – bosniešu" lang="bs" hreflang="bs" data-title="Kružnica" data-language-autonym="Bosanski" data-language-local-name="bosniešu" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Circumfer%C3%A8ncia" title="Circumferència – katalāņu" lang="ca" hreflang="ca" data-title="Circumferència" data-language-autonym="Català" data-language-local-name="katalāņu" 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/%D8%A8%D8%A7%D8%B2%D9%86%DB%95_(%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95)" title="بازنە (ئەندازە) – centrālkurdu" lang="ckb" hreflang="ckb" data-title="بازنە (ئەندازە)" data-language-autonym="کوردی" data-language-local-name="centrālkurdu" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kru%C5%BEnice" title="Kružnice – čehu" lang="cs" hreflang="cs" data-title="Kružnice" data-language-autonym="Čeština" data-language-local-name="čehu" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%C3%87%D0%B0%D0%B2%D1%80%D0%B0%D0%BA%C4%83%D1%88" title="Çавракăш – čuvašu" lang="cv" hreflang="cv" data-title="Çавракăш" data-language-autonym="Чӑвашла" data-language-local-name="čuvašu" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cylch" title="Cylch – velsiešu" lang="cy" hreflang="cy" data-title="Cylch" data-language-autonym="Cymraeg" data-language-local-name="velsiešu" 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/Cirkel" title="Cirkel – dāņu" lang="da" hreflang="da" data-title="Cirkel" data-language-autonym="Dansk" data-language-local-name="dāņu" 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/Kreis" title="Kreis – vācu" lang="de" hreflang="de" data-title="Kreis" data-language-autonym="Deutsch" data-language-local-name="vācu" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Cera_krejza" title="Cera krejza – lejassorbu" lang="dsb" hreflang="dsb" data-title="Cera krejza" data-language-autonym="Dolnoserbski" data-language-local-name="lejassorbu" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CF%8D%CE%BA%CE%BB%CE%BF%CF%82" title="Κύκλος – grieķu" lang="el" hreflang="el" data-title="Κύκλος" data-language-autonym="Ελληνικά" data-language-local-name="grieķu" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Ser%C4%87_(giometr%C3%ACa)" title="Serć (giometrìa) – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Serć (giometrìa)" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Circle" title="Circle – angļu" lang="en" hreflang="en" data-title="Circle" data-language-autonym="English" data-language-local-name="angļu" 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/Cirklo" title="Cirklo – esperanto" lang="eo" hreflang="eo" data-title="Cirklo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/C%C3%ADrculo" title="Círculo – spāņu" lang="es" hreflang="es" data-title="Círculo" data-language-autonym="Español" data-language-local-name="spāņu" 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/Ringjoon" title="Ringjoon – igauņu" lang="et" hreflang="et" data-title="Ringjoon" data-language-autonym="Eesti" data-language-local-name="igauņu" 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/Zirkulu" title="Zirkulu – basku" lang="eu" hreflang="eu" data-title="Zirkulu" data-language-autonym="Euskara" data-language-local-name="basku" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa badge-Q17437798 badge-goodarticle mw-list-item" title="labs raksts"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%A7%DB%8C%D8%B1%D9%87" title="دایره – persiešu" lang="fa" hreflang="fa" data-title="دایره" data-language-autonym="فارسی" data-language-local-name="persiešu" 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/Ympyr%C3%A4" title="Ympyrä – somu" lang="fi" hreflang="fi" data-title="Ympyrä" data-language-autonym="Suomi" data-language-local-name="somu" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Ts%C3%B5%C3%B5rjuun" title="Tsõõrjuun – Võro" lang="vro" hreflang="vro" data-title="Tsõõrjuun" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Iwirini" title="Iwirini – fidžiešu" lang="fj" hreflang="fj" data-title="Iwirini" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fidžiešu" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Sirkul" title="Sirkul – fēru" lang="fo" hreflang="fo" data-title="Sirkul" data-language-autonym="Føroyskt" data-language-local-name="fēru" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cercle" title="Cercle – franču" lang="fr" hreflang="fr" data-title="Cercle" data-language-autonym="Français" data-language-local-name="franču" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Kreis_(Geometrii)" title="Kreis (Geometrii) – ziemeļfrīzu" lang="frr" hreflang="frr" data-title="Kreis (Geometrii)" data-language-autonym="Nordfriisk" data-language-local-name="ziemeļfrīzu" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Ciorcal" title="Ciorcal – īru" lang="ga" hreflang="ga" data-title="Ciorcal" data-language-autonym="Gaeilge" data-language-local-name="īru" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E5%9C%93%E5%BD%A2" title="圓形 – Gan" lang="gan" hreflang="gan" data-title="圓形" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Serk" title="Serk – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Serk" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Cearcall" title="Cearcall – skotu gēlu" lang="gd" hreflang="gd" data-title="Cearcall" data-language-autonym="Gàidhlig" data-language-local-name="skotu gēlu" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Circunferencia" title="Circunferencia – galisiešu" lang="gl" hreflang="gl" data-title="Circunferencia" data-language-autonym="Galego" data-language-local-name="galisiešu" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B5%E0%AA%B0%E0%AB%8D%E0%AA%A4%E0%AB%81%E0%AA%B3" title="વર્તુળ – gudžaratu" lang="gu" hreflang="gu" data-title="વર્તુળ" data-language-autonym="ગુજરાતી" data-language-local-name="gudžaratu" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Kiarkyl" title="Kiarkyl – meniešu" lang="gv" hreflang="gv" data-title="Kiarkyl" data-language-autonym="Gaelg" data-language-local-name="meniešu" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%92%D7%9C" title="מעגל – ivrits" lang="he" hreflang="he" data-title="מעגל" data-language-autonym="עברית" data-language-local-name="ivrits" 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%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="वृत्त – hindi" lang="hi" hreflang="hi" data-title="वृत्त" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Circle" title="Circle – Fiji Hindi" lang="hif" hreflang="hif" data-title="Circle" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kru%C5%BEnica" title="Kružnica – horvātu" lang="hr" hreflang="hr" data-title="Kružnica" data-language-autonym="Hrvatski" data-language-local-name="horvātu" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/Kru%C5%BEnica" title="Kružnica – augšsorbu" lang="hsb" hreflang="hsb" data-title="Kružnica" data-language-autonym="Hornjoserbsce" data-language-local-name="augšsorbu" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/S%C3%A8k_(non)" title="Sèk (non) – haitiešu" lang="ht" hreflang="ht" data-title="Sèk (non)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiešu" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/K%C3%B6r_(geometria)" title="Kör (geometria) – ungāru" lang="hu" hreflang="hu" data-title="Kör (geometria)" data-language-autonym="Magyar" data-language-local-name="ungāru" 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%87%D6%80%D5%BB%D5%A1%D5%B6%D5%A1%D5%A3%D5%AB%D5%AE" title="Շրջանագիծ – armēņu" lang="hy" hreflang="hy" data-title="Շրջանագիծ" data-language-autonym="Հայերեն" data-language-local-name="armēņu" 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/Circulo" title="Circulo – interlingva" lang="ia" hreflang="ia" data-title="Circulo" data-language-autonym="Interlingua" data-language-local-name="interlingva" 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/Lingkaran" title="Lingkaran – indonēziešu" lang="id" hreflang="id" data-title="Lingkaran" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonēziešu" 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/Cirklo" title="Cirklo – ido" lang="io" hreflang="io" data-title="Cirklo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Hringur_(r%C3%BAmfr%C3%A6%C3%B0i)" title="Hringur (rúmfræði) – islandiešu" lang="is" hreflang="is" data-title="Hringur (rúmfræði)" data-language-autonym="Íslenska" data-language-local-name="islandiešu" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Circonferenza" title="Circonferenza – itāļu" lang="it" hreflang="it" data-title="Circonferenza" data-language-autonym="Italiano" data-language-local-name="itāļu" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%86%86_(%E6%95%B0%E5%AD%A6)" title="円 (数学) – japāņu" lang="ja" hreflang="ja" data-title="円 (数学)" data-language-autonym="日本語" data-language-local-name="japāņu" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Soerkl" title="Soerkl – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Soerkl" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Bunderan" title="Bunderan – javiešu" lang="jv" hreflang="jv" data-title="Bunderan" data-language-autonym="Jawa" data-language-local-name="javiešu" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%AC%E1%83%A0%E1%83%94%E1%83%AC%E1%83%98%E1%83%A0%E1%83%98" title="წრეწირი – gruzīnu" lang="ka" hreflang="ka" data-title="წრეწირი" data-language-autonym="ქართული" data-language-local-name="gruzīnu" 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/Tawinest" title="Tawinest – kabilu" lang="kab" hreflang="kab" data-title="Tawinest" data-language-autonym="Taqbaylit" data-language-local-name="kabilu" 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%A8%D0%B5%D2%A3%D0%B1%D0%B5%D1%80" title="Шеңбер – kazahu" lang="kk" hreflang="kk" data-title="Шеңбер" data-language-autonym="Қазақша" data-language-local-name="kazahu" 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%9A%E1%9E%84%E1%9F%92%E1%9E%9C%E1%9E%84%E1%9F%8B" title="រង្វង់ – khmeru" lang="km" hreflang="km" data-title="រង្វង់" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmeru" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B5%E0%B3%83%E0%B2%A4%E0%B3%8D%E0%B2%A4" title="ವೃತ್ತ – kannadu" lang="kn" hreflang="kn" data-title="ವೃತ್ತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannadu" 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_(%EA%B8%B0%ED%95%98%ED%95%99)" title="원 (기하학) – korejiešu" lang="ko" hreflang="ko" data-title="원 (기하학)" data-language-autonym="한국어" data-language-local-name="korejiešu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Gilover" title="Gilover – kurdu" lang="ku" hreflang="ku" data-title="Gilover" data-language-autonym="Kurdî" data-language-local-name="kurdu" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Kylgh" title="Kylgh – korniešu" lang="kw" hreflang="kw" data-title="Kylgh" data-language-autonym="Kernowek" data-language-local-name="korniešu" class="interlanguage-link-target"><span>Kernowek</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%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Айлана (математика) – kirgīzu" lang="ky" hreflang="ky" data-title="Айлана (математика)" data-language-autonym="Кыргызча" data-language-local-name="kirgīzu" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Circulus" title="Circulus – latīņu" lang="la" hreflang="la" data-title="Circulus" data-language-autonym="Latina" data-language-local-name="latīņu" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Krees_(Geometrie)" title="Krees (Geometrie) – luksemburgiešu" lang="lb" hreflang="lb" data-title="Krees (Geometrie)" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburgiešu" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Sirculo" title="Sirculo – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Sirculo" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Cirkel" title="Cirkel – limburgiešu" lang="li" hreflang="li" data-title="Cirkel" data-language-autonym="Limburgs" data-language-local-name="limburgiešu" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/S%C3%A9rcc" title="Sércc – lombardiešu" lang="lmo" hreflang="lmo" data-title="Sércc" data-language-autonym="Lombard" data-language-local-name="lombardiešu" 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/Apskritimas" title="Apskritimas – lietuviešu" lang="lt" hreflang="lt" data-title="Apskritimas" data-language-autonym="Lietuvių" data-language-local-name="lietuviešu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Faribolana" title="Faribolana – malagasu" lang="mg" hreflang="mg" data-title="Faribolana" data-language-autonym="Malagasy" data-language-local-name="malagasu" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9E%D2%A5%D0%B3%D0%BE" title="Оҥго – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Оҥго" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Lingkaran" title="Lingkaran – minangkabavu" lang="min" hreflang="min" data-title="Lingkaran" data-language-autonym="Minangkabau" data-language-local-name="minangkabavu" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk badge-Q17437796 badge-featuredarticle mw-list-item" title="vērtīgs raksts"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Кружница – maķedoniešu" lang="mk" hreflang="mk" data-title="Кружница" data-language-autonym="Македонски" data-language-local-name="maķedoniešu" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B5%83%E0%B4%A4%E0%B5%8D%E0%B4%A4%E0%B4%82" title="വൃത്തം – malajalu" lang="ml" hreflang="ml" data-title="വൃത്തം" data-language-autonym="മലയാളം" data-language-local-name="malajalu" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%BE%D0%B9%D1%80%D0%BE%D0%B3" title="Тойрог – mongoļu" lang="mn" hreflang="mn" data-title="Тойрог" data-language-autonym="Монгол" data-language-local-name="mongoļu" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A5%81%E0%A4%B3" title="वर्तुळ – marathu" lang="mr" hreflang="mr" data-title="वर्तुळ" data-language-autonym="मराठी" data-language-local-name="marathu" 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/Bulatan" title="Bulatan – malajiešu" lang="ms" hreflang="ms" data-title="Bulatan" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiešu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%85%E1%80%80%E1%80%BA%E1%80%9D%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8" title="စက်ဝိုင်း – birmiešu" lang="my" hreflang="my" data-title="စက်ဝိုင်း" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmiešu" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Krink" title="Krink – lejasvācu" lang="nds" hreflang="nds" data-title="Krink" data-language-autonym="Plattdüütsch" data-language-local-name="lejasvācu" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%B5%E0%A5%83%E0%A4%A4" title="वृत – nepāliešu" lang="ne" hreflang="ne" data-title="वृत" data-language-autonym="नेपाली" data-language-local-name="nepāliešu" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%9A%E0%A4%BE%E0%A4%95%E0%A4%83" title="चाकः – nevaru" lang="new" hreflang="new" data-title="चाकः" data-language-autonym="नेपाल भाषा" data-language-local-name="nevaru" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Cirkel" title="Cirkel – holandiešu" lang="nl" hreflang="nl" data-title="Cirkel" data-language-autonym="Nederlands" data-language-local-name="holandiešu" 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/Sirkel" title="Sirkel – jaunnorvēģu" lang="nn" hreflang="nn" data-title="Sirkel" data-language-autonym="Norsk nynorsk" data-language-local-name="jaunnorvēģu" 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/Sirkel" title="Sirkel – norvēģu bukmols" lang="nb" hreflang="nb" data-title="Sirkel" data-language-autonym="Norsk bokmål" data-language-local-name="norvēģu bukmols" 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/Cercle" title="Cercle – oksitāņu" lang="oc" hreflang="oc" data-title="Cercle" data-language-autonym="Occitan" data-language-local-name="oksitāņu" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Geengoo" title="Geengoo – oromu" lang="om" hreflang="om" data-title="Geengoo" data-language-autonym="Oromoo" data-language-local-name="oromu" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%AC%E0%AD%83%E0%AC%A4%E0%AD%8D%E0%AC%A4" title="ବୃତ୍ତ – oriju" lang="or" hreflang="or" data-title="ବୃତ୍ତ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="oriju" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%9A%E0%A9%B1%E0%A8%95%E0%A8%B0" title="ਚੱਕਰ – pandžabu" lang="pa" hreflang="pa" data-title="ਚੱਕਰ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžabu" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Okr%C4%85g" title="Okrąg – poļu" lang="pl" hreflang="pl" data-title="Okrąg" data-language-autonym="Polski" data-language-local-name="poļu" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%AF%D8%A7%D8%A6%D8%B1%DB%81" title="دائرہ – Western Punjabi" lang="pnb" hreflang="pnb" data-title="دائرہ" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DA%AF%D8%B1%D8%AF%DA%A9%D9%87" title="گردکه – puštu" lang="ps" hreflang="ps" data-title="گردکه" data-language-autonym="پښتو" data-language-local-name="puštu" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Circunfer%C3%AAncia" title="Circunferência – portugāļu" lang="pt" hreflang="pt" data-title="Circunferência" data-language-autonym="Português" data-language-local-name="portugāļu" 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/P%27allta_muyu" title="P'allta muyu – kečvu" lang="qu" hreflang="qu" data-title="P'allta muyu" data-language-autonym="Runa Simi" data-language-local-name="kečvu" 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/Cerc" title="Cerc – rumāņu" lang="ro" hreflang="ro" data-title="Cerc" data-language-autonym="Română" data-language-local-name="rumāņu" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/%C8%9Aerc%C4%BEiu" title="Țercľiu – aromūnu" lang="rup" hreflang="rup" data-title="Țercľiu" data-language-autonym="Armãneashti" data-language-local-name="aromūnu" class="interlanguage-link-target"><span>Armãneashti</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Окружность – krievu" lang="ru" hreflang="ru" data-title="Окружность" data-language-autonym="Русский" data-language-local-name="krievu" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг – Rusyn" lang="rue" hreflang="rue" data-title="Круг" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/C%C3%ACrculu_(giometr%C3%ACa)" title="Cìrculu (giometrìa) – sicīliešu" lang="scn" hreflang="scn" data-title="Cìrculu (giometrìa)" data-language-autonym="Sicilianu" data-language-local-name="sicīliešu" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Raing" title="Raing – skotu" lang="sco" hreflang="sco" data-title="Raing" data-language-autonym="Scots" data-language-local-name="skotu" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%AF%D9%88%D9%84" title="گول – sindhu" lang="sd" hreflang="sd" data-title="گول" data-language-autonym="سنڌي" data-language-local-name="sindhu" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kru%C5%BEnica" title="Kružnica – serbu–horvātu" lang="sh" hreflang="sh" data-title="Kružnica" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbu–horvātu" 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/Circle" title="Circle – Simple English" lang="en-simple" hreflang="en-simple" data-title="Circle" 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-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kru%C5%BEnica" title="Kružnica – slovāku" lang="sk" hreflang="sk" data-title="Kružnica" data-language-autonym="Slovenčina" data-language-local-name="slovāku" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kro%C5%BEnica" title="Krožnica – slovēņu" lang="sl" hreflang="sl" data-title="Krožnica" data-language-autonym="Slovenščina" data-language-local-name="slovēņu" 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/Denderedzwa" title="Denderedzwa – šonu" lang="sn" hreflang="sn" data-title="Denderedzwa" data-language-autonym="ChiShona" data-language-local-name="šonu" 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/Goobo" title="Goobo – somāļu" lang="so" hreflang="so" data-title="Goobo" data-language-autonym="Soomaaliga" data-language-local-name="somāļu" 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/Rrethi" title="Rrethi – albāņu" lang="sq" hreflang="sq" data-title="Rrethi" data-language-autonym="Shqip" data-language-local-name="albāņu" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Кружница – serbu" lang="sr" hreflang="sr" data-title="Кружница" data-language-autonym="Српски / srpski" data-language-local-name="serbu" 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/Bunderan_(%C3%A9lmu_ukur)" title="Bunderan (élmu ukur) – zundu" lang="su" hreflang="su" data-title="Bunderan (élmu ukur)" data-language-autonym="Sunda" data-language-local-name="zundu" 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/Cirkel" title="Cirkel – zviedru" lang="sv" hreflang="sv" data-title="Cirkel" data-language-autonym="Svenska" data-language-local-name="zviedru" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Duara" title="Duara – svahili" lang="sw" hreflang="sw" data-title="Duara" data-language-autonym="Kiswahili" data-language-local-name="svahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="வட்டம் – tamilu" lang="ta" hreflang="ta" data-title="வட்டம்" data-language-autonym="தமிழ்" data-language-local-name="tamilu" 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%B5%E0%B1%83%E0%B0%A4%E0%B1%8D%E0%B0%A4%E0%B0%AE%E0%B1%81" title="వృత్తము – telugu" lang="te" hreflang="te" data-title="వృత్తము" data-language-autonym="తెలుగు" data-language-local-name="telugu" 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%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%A7%E0%B8%87%E0%B8%81%E0%B8%A5%E0%B8%A1" title="รูปวงกลม – taju" lang="th" hreflang="th" data-title="รูปวงกลม" data-language-autonym="ไทย" data-language-local-name="taju" 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/Bilog" title="Bilog – tagalu" lang="tl" hreflang="tl" data-title="Bilog" data-language-autonym="Tagalog" data-language-local-name="tagalu" 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%87ember" title="Çember – turku" lang="tr" hreflang="tr" data-title="Çember" data-language-autonym="Türkçe" data-language-local-name="turku" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D3%98%D0%B9%D0%BB%D3%99%D0%BD%D3%99" title="Әйләнә – tatāru" lang="tt" hreflang="tt" data-title="Әйләнә" data-language-autonym="Татарча / tatarça" data-language-local-name="tatāru" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BB%D0%BE" title="Коло – ukraiņu" lang="uk" hreflang="uk" data-title="Коло" data-language-autonym="Українська" data-language-local-name="ukraiņu" 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/%D8%AF%D8%A7%D8%A6%D8%B1%DB%81" title="دائرہ – urdu" lang="ur" hreflang="ur" data-title="دائرہ" data-language-autonym="اردو" data-language-local-name="urdu" 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/Aylana" title="Aylana – uzbeku" lang="uz" hreflang="uz" data-title="Aylana" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeku" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Sercio" title="Sercio – venēciešu" lang="vec" hreflang="vec" data-title="Sercio" data-language-autonym="Vèneto" data-language-local-name="venēciešu" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%C6%B0%E1%BB%9Dng_tr%C3%B2n" title="Đường tròn – vjetnamiešu" lang="vi" hreflang="vi" data-title="Đường tròn" data-language-autonym="Tiếng Việt" data-language-local-name="vjetnamiešu" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Lidong" title="Lidong – varaju" lang="war" hreflang="war" data-title="Lidong" data-language-autonym="Winaray" data-language-local-name="varaju" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%9C%86" title="圆 – vu ķīniešu" lang="wuu" hreflang="wuu" data-title="圆" data-language-autonym="吴语" data-language-local-name="vu ķīniešu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Isazinge" title="Isazinge – khosu" lang="xh" hreflang="xh" data-title="Isazinge" data-language-autonym="IsiXhosa" data-language-local-name="khosu" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A7%D7%A8%D7%99%D7%99%D7%96" title="קרייז – jidišs" lang="yi" hreflang="yi" data-title="קרייז" data-language-autonym="ייִדיש" data-language-local-name="jidišs" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/%C3%92b%C3%ACr%C3%ADpo" title="Òbìrípo – jorubu" lang="yo" hreflang="yo" data-title="Òbìrípo" data-language-autonym="Yorùbá" data-language-local-name="jorubu" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Luenz" title="Luenz – džuanu" lang="za" hreflang="za" data-title="Luenz" data-language-autonym="Vahcuengh" data-language-local-name="džuanu" 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%86" title="圆 – ķīniešu" lang="zh" hreflang="zh" data-title="圆" data-language-autonym="中文" data-language-local-name="ķīniešu" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%9C%93" title="圓 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="圓" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/%C3%8E%E2%81%BF-h%C3%AAng" title="Îⁿ-hêng – Minnan" lang="nan" hreflang="nan" data-title="Îⁿ-hêng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</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%BD%A2" title="圓形 – kantoniešu" lang="yue" hreflang="yue" data-title="圓形" data-language-autonym="粵語" data-language-local-name="kantoniešu" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span 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class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Ri%C5%86%C4%B7a_l%C4%ABnija" title="Visas Vikipēdijas lapas, kurās ir saites uz šejieni [j]" accesskey="j"><span>Norādes uz šo rakstu</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Ri%C5%86%C4%B7a_l%C4%ABnija" rel="nofollow" title="Izmaiņas, kas nesen izdarītas lapās, kurās ir saites uz šo lapu [k]" accesskey="k"><span>Saistītās izmaiņas</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&oldid=3538289" title="Paliekoša saite uz šo lapas versiju"><span>Pastāvīgā saite</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=info" title="Vairāk informācijas par šo lapu"><span>Lapas informācija</span></a></li><li id="t-cite" class="mw-list-item"><a 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href="/w/index.php?title=Special:Book&bookcmd=book_creator&referer=Ri%C5%86%C4%B7a+l%C4%ABnija"><span>Izveidot grāmatu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Ri%C5%86%C4%B7a_l%C4%ABnija&action=show-download-screen"><span>Lejupielādēt kā PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&printable=yes" title="Drukājama lapas versija [p]" accesskey="p"><span>Drukājama versija</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Citos projektos </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Circle_area" hreflang="en"><span>Vikikrātuve</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q17278" title="Saistītais Vikidatu ieraksts [g]" accesskey="g"><span>Ieraksts Vikidatos</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Lapas rīki"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izskats"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Izskats</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">paslēpt</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">Vikipēdijas lapa</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="lv" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Circle_-_black_simple.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/220px-Circle_-_black_simple.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/330px-Circle_-_black_simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Circle_-_black_simple.svg/440px-Circle_-_black_simple.svg.png 2x" data-file-width="500" data-file-height="500" /></a><figcaption>Riņķa līnija</figcaption></figure> <p><b>Riņķa līnija</b> ir visu to <a href="/wiki/Plakne" title="Plakne">plaknes</a> <a href="/wiki/Punkts_(%C4%A3eometrija)" title="Punkts (ģeometrija)">punktu</a> <a href="/wiki/Kopa" title="Kopa">kopa</a>, kuri atrodas vienādā attālumā no kāda fiksēta plaknes punkta. Šo punktu sauc par riņķa līnijas centru, bet attālumu — par tās <a href="/wiki/R%C4%81diuss" title="Rādiuss">rādiusu</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Riņķa līnijas un riņķa jēdzieni ir cieši saistīti, taču nav identiski. <a href="/wiki/Ri%C5%86%C4%B7is" title="Riņķis">Riņķis</a> ir riņķa līnijas iekšpuse jeb plaknes daļa, ko ierobežo riņķa līnija un kurā atrodas tās centrs. </p><p>Senāks riņķa līnijas nosaukums <a href="/wiki/Latvie%C5%A1u_valoda" title="Latviešu valoda">latviešu valodā</a> ir <b>aploce</b>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>Riņķa līnija ir <a href="/wiki/Elipse" title="Elipse">elipses</a> īpašs gadījums, kad abi tās fokusi sakrīt vai abas pusasis ir vienāda garuma. Riņķa līnijas vispārinājums trīs dimensijās ir <a href="/wiki/Sf%C4%93ra" title="Sfēra">sfēra</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Ar_riņķa_līniju_saistīti_jēdzieni"><span id="Ar_ri.C5.86.C4.B7a_l.C4.ABniju_saist.C4.ABti_j.C4.93dzieni"></span>Ar riņķa līniju saistīti jēdzieni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=1" title="Labot sadaļu: Ar riņķa līniju saistīti jēdzieni" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=1" title="Labot sadaļas vikikodu: Ar riņķa līniju saistīti jēdzieni"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/Att%C4%93ls:Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg/250px-Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg.png" decoding="async" width="200" height="190" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg/330px-Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/de/Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg/500px-Ri%C5%86%C4%B7a_l%C4%ABnijas_l%C4%ABnijas.svg.png 2x" data-file-width="630" data-file-height="600" /></a><figcaption></figcaption></figure> <dl><dt><a href="/wiki/R%C4%81diuss" title="Rādiuss">rādiuss</a></dt> <dd><i>Rādiuss</i> ir <a href="/wiki/Nogrieznis" title="Nogrieznis">nogrieznis</a>, kas savieno riņķa līnijas centru ar kādu no tās punktiem. Šī nogriežņa <a href="/wiki/Garums" title="Garums">garumu</a> arī mēdz saukt par rādiusu un parasti apzīmē ar <i>r</i> vai <i>R</i>.</dd></dl> <dl><dt><a href="/wiki/Diametrs" title="Diametrs">diametrs</a></dt> <dd>Hordu, kas vilkta caur centru, sauc par <i>diametru</i>. Diametru parasti apzīmē ar <i>d</i> vai <i>D</i>. Diametra garums ir vienāds ar divkāršotu rādiusa garumu.</dd></dl> <dl><dt><a href="/wiki/Sekante" title="Sekante">sekante</a></dt> <dd><a href="/wiki/Taisne" title="Taisne">Taisni</a>, kas vilkta cauri diviem dažādiem riņķa līnijas punktiem, sauc par <i>sekanti</i>.</dd></dl> <dl><dt><a href="/wiki/Horda_(matem%C4%81tika)" title="Horda (matemātika)">horda</a></dt> <dd>Sekantes daļu, kas atrodas riņķa līnijas iekšpusē, sauc par <i>hordu</i>. Jo tuvāk horda atrodas riņķa līnijas centram, jo tā garāka. Ja divas vienā riņķa līnijā novilktas hordas krustojas, tad krustpunkts sadala katru hordu divos nogriežņos tā, ka abu pirmās hordas nogriežņu garumu <a href="/w/index.php?title=Reizin%C4%81jums&action=edit&redlink=1" class="new" title="Reizinājums (vēl nav uzrakstīts)">reizinājums</a> ir vienāds ar abu otrās hordas nogriežņu garumu reizinājumu.</dd></dl> <dl><dt><a href="/w/index.php?title=Pieskare&action=edit&redlink=1" class="new" title="Pieskare (vēl nav uzrakstīts)">pieskare</a></dt> <dd><i>Pieskare</i> ir sekante, kas iet caur diviem riņķa līnijas punktiem, kuri sakrīt. Pieskarei un riņķa līnijai ir tikai viens kopīgs punkts. Rādiuss, kas vērsts no centra uz šo punktu, ir <a href="/wiki/Perpendikuls" title="Perpendikuls">perpendikulārs</a> pieskarei. Abi riņķa līnijas pieskaru nogriežņi, kas novilkti no jebkura plaknes punkta, kurš atrodas ārpus riņķa līnijas, ir vienāda garuma un veido vienādus <a href="/wiki/Le%C5%86%C4%B7is" title="Leņķis">leņķus</a> ar taisni, kas iet caur šo punktu un riņķa līnijas centru.</dd></dl> <dl><dt><a href="/wiki/Loks_(matem%C4%81tika)" title="Loks (matemātika)">loks</a></dt> <dd>Riņķa līnijas daļu starp diviem tās punktiem sauc par <i>loku</i>. Jebkuru loku pilnībā raksturo divi lielumi: loka rādiuss un leņķis.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Riņķa_līnijas_īpašības"><span id="Ri.C5.86.C4.B7a_l.C4.ABnijas_.C4.ABpa.C5.A1.C4.ABbas"></span>Riņķa līnijas īpašības</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=2" title="Labot sadaļu: Riņķa līnijas īpašības" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=2" title="Labot sadaļas vikikodu: Riņķa līnijas īpašības"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Jebkurai riņķa līnijai piemīt šādas īpašības: </p> <ul><li>ja riņķa līniju pagriež ap tās centru pa jebkuru leņķi, tā sakrīt pati ar sevi;</li> <li>jebkura taisne, kas iet caur riņķa līnijas centru, ir tās simetrijas ass;</li> <li>riņķa līnijas <a href="/w/index.php?title=Smaguma_centrs&action=edit&redlink=1" class="new" title="Smaguma centrs (vēl nav uzrakstīts)">smaguma centrs</a> sakrīt ar tās centru;</li> <li>riņķa līnijas centrs ir tās simetrijas centrs;</li> <li>riņķa līnijai ir konstants <a href="/w/index.php?title=Liekuma_r%C4%81diuss&action=edit&redlink=1" class="new" title="Liekuma rādiuss (vēl nav uzrakstīts)">liekuma rādiuss</a>;</li> <li>riņķa līnija ar garumu <i>l</i> ierobežo vislielāko <a href="/wiki/Laukums" title="Laukums">laukumu</a>, kādu var ierobežot noslēgta plaknes līnija ar garumu <i>l</i>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Riņķa_līnijas_garuma_aprēķināšana"><span id="Ri.C5.86.C4.B7a_l.C4.ABnijas_garuma_apr.C4.93.C4.B7in.C4.81.C5.A1ana"></span>Riņķa līnijas garuma aprēķināšana</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=3" title="Labot sadaļu: Riņķa līnijas garuma aprēķināšana" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=3" title="Labot sadaļas vikikodu: Riņķa līnijas garuma aprēķināšana"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Riņķa līnijas <b>garums</b> ir </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=2\pi r=\pi d,\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mi>r</mi> <mo>=</mo> <mi>π</mi> <mi>d</mi> <mo>,</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C=2\pi r=\pi d,\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d45ff08ee076cae8cf450fbd36e049288c3f4924" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.088ex; height:2.509ex;" alt="{\displaystyle C=2\pi r=\pi d,\,}" /></span></dd></dl> <p>kur <i>r</i> — rādiuss, <i>d</i> — diametrs, <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> <mspace width="thinmathspace"></mspace> </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/b64589f24cc8e145d021afa17d6564d55ea5a95c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.719ex; height:1.676ex;" alt="{\displaystyle \pi \,}" /></span> — konstante <a href="/wiki/P%C4%AB" title="Pī">pī</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Riņķa_līnijas_loks"><span id="Ri.C5.86.C4.B7a_l.C4.ABnijas_loks"></span>Riņķa līnijas loks</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=4" title="Labot sadaļu: Riņķa līnijas loks" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=4" title="Labot sadaļas vikikodu: Riņķa līnijas loks"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Riņķa līnijas loka <b>garums</b> ir: </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 \ l={\frac {\pi r\alpha }{180^{\circ }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>l</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>π</mi> <mi>r</mi> <mi>α</mi> </mrow> <msup> <mn>180</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ l={\frac {\pi r\alpha }{180^{\circ }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eca751dde212a964378370c5144ec95073894d92" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.75ex; height:4.843ex;" alt="{\displaystyle \ l={\frac {\pi r\alpha }{180^{\circ }}}}" /></span></dd></dl> <p>kur <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> - konstante <a href="/wiki/P%C4%AB" title="Pī">pī</a>, r - radiuss un <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }" /></span> - centra leņķa lielums. </p><p>Riņķa līnijas loku var atrast pret centra leņķi, kurš balstās uz loku. Loka leņķiskais lielums ir vienāds ar centra leņķi, kurš balstās uz loku. </p> <div class="mw-heading mw-heading2"><h2 id="Apvilktas_riņķa_līnijas"><span id="Apvilktas_ri.C5.86.C4.B7a_l.C4.ABnijas"></span>Apvilktas riņķa līnijas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=5" title="Labot sadaļu: Apvilktas riņķa līnijas" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=5" title="Labot sadaļas vikikodu: Apvilktas riņķa līnijas"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Saka, ka <i>riņķa līnija ir apvilkta daudzstūrim</i> jeb <i>daudzstūris ir ievilkts riņķa līnijā</i>, ja visas daudzstūra virsotnes atrodas uz riņķa līnijas. </p> <dl><dt>Trijstūrim</dt></dl> <p>Jebkuram <a href="/wiki/Trijst%C5%ABris" title="Trijstūris">trijstūrim</a> var apvilkt riņķa līniju vienā vienīgā veidā. Tās centrs atrodas trijstūra malu <a href="/w/index.php?title=Vidusperpendikuls&action=edit&redlink=1" class="new" title="Vidusperpendikuls (vēl nav uzrakstīts)">vidusperpendikulu</a> krustpunktā. Trijstūrim apvilktas riņķa līnijas centrs ne vienmēr atrodas trijstūra iekšpusē (platleņķa trijstūrim apvilktas riņķa līnijas centrs atrodas ārpus trijstūra). <a href="/wiki/Regul%C4%81rs_trijst%C5%ABris" class="mw-redirect" title="Regulārs trijstūris">Regulāram trijstūrim</a> apvilktas riņķa līnijas centrs atrodas uz trijstūra augstuma un sadala to attiecībā 2:1, skaitot no trijstūra virsotnes. Ap <a href="/wiki/Taisnle%C5%86%C4%B7a_trijst%C5%ABris" title="Taisnleņķa trijstūris">taisnleņķa trijstūri</a> apvilktas riņķa līnijas centrs atrodas tā <a href="/wiki/Hipoten%C5%ABza" title="Hipotenūza">hipotenūzas</a> viduspunktā. </p> <dl><dt>Četrstūrim</dt></dl> <p>Ap <a href="/wiki/%C4%8Cetrst%C5%ABris" title="Četrstūris">četrstūri</a> var apvilkt riņķa līniju tad un tikai tad, ja tā pretējo leņķu summa ir 180°. </p> <dl><dt>Regulāram daudzstūrim</dt></dl> <p>Ap jebkuru <a href="/wiki/Regul%C4%81rs_daudzst%C5%ABris" title="Regulārs daudzstūris">regulāru daudzstūri</a> var apvilkt vienu vienīgu riņķa līniju. </p> <div class="mw-heading mw-heading2"><h2 id="Ievilktas_riņķa_līnijas"><span id="Ievilktas_ri.C5.86.C4.B7a_l.C4.ABnijas"></span>Ievilktas riņķa līnijas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=6" title="Labot sadaļu: Ievilktas riņķa līnijas" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=6" title="Labot sadaļas vikikodu: Ievilktas riņķa līnijas"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Saka, ka <i>riņķa līnija ir ievilkta daudzstūrī</i> jeb <i>daudzstūris ir apvilkts riņķa līnijai</i>, ja riņķa līnija pieskaras visām daudzstūra malām. </p> <dl><dt>Trijstūrim</dt></dl> <p>Jebkurā trijstūrī var ievilkt vienu vienīgu riņķa līniju, un tās centrs atrodas šī trijstūra leņķu <a href="/wiki/Bisektrise" title="Bisektrise">bisektrišu</a> krustpunktā. Trijstūra <a href="/wiki/Laukums" title="Laukums">laukums</a> ir vienāds ar tā <a href="/w/index.php?title=Pusperimetrs&action=edit&redlink=1" class="new" title="Pusperimetrs (vēl nav uzrakstīts)">pusperimetra</a> un ievilktas riņķa līnijas rādiusa reizinājumu. Ja regulārā trijstūrī ir ievilkta riņķa līnija, tad šīs riņķa līnijas centrs atrodas uz tā augstuma un sadala to attiecībā 1:2, skaitot no trijstūra pamata, turklāt īsākais no iegūtajiem nogriežņiem ir ievilktās riņķa līnijas rādiuss. </p> <dl><dt>Četrstūrim</dt></dl> <p>Četrstūrī var ievilkt riņķa līniju tad un tikai tad, ja tā pretējo malu garumu summas ir vienādas. Ja četrstūrī var ievilkt riņķa līniju, tad tā laukumu var aprēķināt kā pusperimetra un ievilktās riņķa līnijas rādiusa reizinājumu. </p> <dl><dt>Regulāram daudzstūrim</dt></dl> <p>Jebkurā regulārā daudzstūrī var ievilkt vienu vienīgu riņķa līniju. Regulāra daudzstūra laukums ir vienāds ar daudzstūra pusperimetra un daudzstūrī ievilktās riņķa līnijas rādiusa reizinājumu. </p> <div class="mw-heading mw-heading2"><h2 id="Riņķa_līnijas_vienādojums"><span id="Ri.C5.86.C4.B7a_l.C4.ABnijas_vien.C4.81dojums"></span>Riņķa līnijas vienādojums</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=7" title="Labot sadaļu: Riņķa līnijas vienādojums" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=7" title="Labot sadaļas vikikodu: Riņķa līnijas vienādojums"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Polārajā_koordinātu_sistēmā"><span id="Pol.C4.81raj.C4.81_koordin.C4.81tu_sist.C4.93m.C4.81"></span>Polārajā koordinātu sistēmā</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=8" title="Labot sadaļu: Polārajā koordinātu sistēmā" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=8" title="Labot sadaļas vikikodu: Polārajā koordinātu sistēmā"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Pol%C4%81r%C4%81_koordin%C4%81tu_sist%C4%93ma" title="Polārā koordinātu sistēma">Polārajā koordinātu sistēmā</a> riņķa līniju, kuras centrs sakrīt ar koordinātu sākumpunktu, apraksta vienādojums: </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 r=R,\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mi>R</mi> <mo>,</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=R,\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed2c08e25ff070318c3f41f4ef140a9bd0291668" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.945ex; height:2.509ex;" alt="{\displaystyle r=R,\,}" /></span></dd></dl> <p>kur <i>R</i> ir tās rādiuss. Šis vienādojums ir analogs taisnes vienādojumam <i>y</i> = <i>a</i> Dekarta koordinātu sistēmā, kas apraksta taisni, kas paralēla <i>x</i> asij un atrodas augstumā <i>a</i> virs tās. </p> <div class="mw-heading mw-heading3"><h3 id="Dekarta_koordinātu_sistēmā"><span id="Dekarta_koordin.C4.81tu_sist.C4.93m.C4.81"></span>Dekarta koordinātu sistēmā</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=9" title="Labot sadaļu: Dekarta koordinātu sistēmā" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=9" title="Labot sadaļas vikikodu: Dekarta koordinātu sistēmā"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Dekarta_koordin%C4%81tu_sist%C4%93ma" title="Dekarta koordinātu sistēma">Dekarta koordinātu sistēmā</a> riņķa līniju nevar aprakstīt ar vienu <i>y</i> = <i>f</i>(<i>x</i>) tipa <a href="/wiki/Vien%C4%81dojums" title="Vienādojums">vienādojumu</a>, jo vienai <i>x</i> vērtībai var atbilst divas <i>y</i> vērtības. Ja riņķa līnijas centrs atrodas koordinātu sākumpunktā, tad to apraksta vienādojums </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}+y^{2}=R^{2},\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>,</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+y^{2}=R^{2},\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e93268a265831697d136eb783cfb2167a8a19810" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.39ex; height:3.009ex;" alt="{\displaystyle x^{2}+y^{2}=R^{2},\,}" /></span></dd></dl> <p>kur <i>R</i> ir riņķa līnijas rādiuss. Šajā vienādojumā <i>y</i> ir apslēpta funkcija no <i>x</i>. Izsakot <i>y</i>, iegūst: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y=\pm {\sqrt {R^{2}-x^{2}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mo>±</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=\pm {\sqrt {R^{2}-x^{2}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa8d9f7a10d3aed7f9ca5537254f5032b5f52f16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.075ex; height:3.509ex;" alt="{\displaystyle y=\pm {\sqrt {R^{2}-x^{2}}}.}" /></span></dd></dl> <p>Šajā vienādojumā plus un mīnus zīme atbilst attiecīgi augšējam un apakšējam riņķa līnijas puslokam. Ja riņķa līnijas centrs neatrodas koordinātu sākumpunktā, tad to apraksta vienādojums </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x-x_{0})^{2}+(y-y_{0})^{2}=R^{2},\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>,</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x-x_{0})^{2}+(y-y_{0})^{2}=R^{2},\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71386eef3237d8324f1864454ed5561d2d668820" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:28.261ex; height:3.176ex;" alt="{\displaystyle (x-x_{0})^{2}+(y-y_{0})^{2}=R^{2},\,}" /></span></dd></dl> <p>kur <i>x</i><sub>0</sub> un <i>y</i><sub>0</sub> ir riņķa līnijas centra koordinātas. </p><p>Parametriskā formā riņķa līniju apraksta vienādojumu sistēma: </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 {\begin{aligned}x&=x_{0}+R\cos t,\\y&=y_{0}+R\sin t,\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <mi>R</mi> <mi>cos</mi> <mo>⁡</mo> <mi>t</mi> <mo>,</mo> </mtd> </mtr> <mtr> <mtd> <mi>y</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <mi>R</mi> <mi>sin</mi> <mo>⁡</mo> <mi>t</mi> <mo>,</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}x&=x_{0}+R\cos t,\\y&=y_{0}+R\sin t,\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66df730a4f29cfbada8c36d5156a759f15e711ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:17.54ex; height:5.843ex;" alt="{\displaystyle {\begin{aligned}x&=x_{0}+R\cos t,\\y&=y_{0}+R\sin t,\end{aligned}}}" /></span></dd></dl> <p>kur parametrs <i>t</i>, kas mainās no 0 līdz 2<i>π</i>, atbilst leņķim, kādu ar koordinātu <i>x</i> asi veido <a href="/wiki/Stars" title="Stars">stars</a>, kas "zīmē" riņķa līniju. </p> <div class="mw-heading mw-heading2"><h2 id="Vēsture"><span id="V.C4.93sture"></span>Vēsture</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=10" title="Labot sadaļu: Vēsture" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=10" title="Labot sadaļas vikikodu: Vēsture"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Riņķa līnijas bija zināmas jau pirms rakstītās vēstures. Tās ir riteņa pamats, kas kopā ar tādu izgudrojumu kā zobrats padara iespējamu moderno civilizāciju. Matemātikā riņķa līniju pētīšana palīdzēja attīstīties ģeometrijai un matemātiskajai analīzei. </p> <div class="mw-heading mw-heading2"><h2 id="Atsauces">Atsauces</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=11" title="Labot sadaļu: Atsauces" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=11" title="Labot sadaļas vikikodu: Atsauces"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Inese Lude, Jolanta Lapiņa. Matemātika 7. klasei. <a href="/w/index.php?title=P%C4%93tergailis&action=edit&redlink=1" class="new" title="Pētergailis (vēl nav uzrakstīts)">Pētergailis</a>, 2013. 41. lpp.</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 web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20160305095415/http://www.tezaurs.lv/sv/?w=aploce">«Aploce»</a> (latviski). tezaurs.lv. Arhivēts no <a rel="nofollow" class="external text" href="http://www.tezaurs.lv/sv/?w=aploce">oriģināla</a>, laiks: 2016. gada 5. martā<span class="reference-accessdate">. Skatīts: 2015. gada 24. janvārī</span>.</span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Skatīt_arī"><span id="Skat.C4.ABt_ar.C4.AB"></span>Skatīt arī</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=12" title="Labot sadaļu: Skatīt arī" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=12" title="Labot sadaļas vikikodu: Skatīt arī"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Ciklo%C4%ABda" title="Cikloīda">Cikloīda</a></li> <li><a href="/wiki/Elipse" title="Elipse">Elipse</a></li> <li><a href="/wiki/Lode" title="Lode">Lode</a></li> <li><a href="/wiki/Ri%C5%86%C4%B7is" title="Riņķis">Riņķis</a></li> <li><a href="/wiki/Sf%C4%93ra" title="Sfēra">Sfēra</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Papildu_literatūra"><span id="Papildu_literat.C5.ABra"></span>Papildu literatūra</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=13" title="Labot sadaļu: Papildu literatūra" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=13" title="Labot sadaļas vikikodu: Papildu literatūra"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Vigodskis M., Elementārās matemātikas rokasgrāmata, 1967, Rīga.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Ārējās_saites"><span id=".C4.80r.C4.93j.C4.81s_saites"></span>Ārējās saites</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&veaction=edit&section=14" title="Labot sadaļu: Ārējās saites" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ri%C5%86%C4%B7a_l%C4%ABnija&action=edit&section=14" title="Labot sadaļas vikikodu: Ārējās saites"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="citation mathworld" id="Reference-Mathworld-Circle">Eric W. Weisstein, <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Circle.html">Circle</a>, MathWorld.</span></li></ul> <table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="row" class="navbox-group"><a href="/wiki/Autoritat%C4%ABv%C4%81_vad%C4%ABba" title="Autoritatīvā vadība">Autoritatīvā vadība</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px;"><div style="padding:0em 0.25em;"> <ul><li><a rel="nofollow" class="external text" href="//www.worldcat.org/identities/lccn-sh85-026057">WorldCat</a></li> <li><a href="/wiki/Latvijas_Nacion%C4%81l%C4%81_bibliot%C4%93ka" title="Latvijas Nacionālā bibliotēka">LNB</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://kopkatalogs.lv/F/?func=direct&local_base=lnc10&doc_number=000321923">000321923</a></span></li> <li><a href="/wiki/Kongresa_bibliot%C4%93ka" title="Kongresa bibliotēka">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://id.loc.gov/authorities/names/sh85026057">sh85026057</a></span></li> <li>GND: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4032962-8">4032962-8</a></span></li> <li>NKC: <span class="uid"><a rel="nofollow" class="external text" href="http://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph121971&CON_LNG=ENG">ph121971</a></span></li></ul> </div></td></tr></tbody></table></td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Saturs iegūts no "<a dir="ltr" href="https://lv.wikipedia.org/w/index.php?title=Riņķa_līnija&oldid=3538289">https://lv.wikipedia.org/w/index.php?title=Riņķa_līnija&oldid=3538289</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Kategorijas</a>: <ul><li><a href="/wiki/Kategorija:%C4%A2eometrija" title="Kategorija:Ģeometrija">Ģeometrija</a></li><li><a href="/w/index.php?title=Kategorija:L%C4%ABknes&action=edit&redlink=1" class="new" title="Kategorija:Līknes (vēl nav uzrakstīts)">Līknes</a></li><li><a href="/wiki/Kategorija:Konusa_%C5%A1%C4%B7%C4%93lumi" title="Kategorija:Konusa šķēlumi">Konusa šķēlumi</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Šī lapa pēdējoreiz labota: 2022. gada 13. janvāris plkst. 19.44.</li> <li id="footer-info-copyright">Teksts ir pieejams saskaņā ar <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike licenci</a>; var pastāvēt papildu ierobežojumi. 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