{"id":3934,"date":"2026-10-14T16:39:50","date_gmt":"2026-10-14T15:39:50","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama-2\/"},"modified":"2026-10-14T16:39:50","modified_gmt":"2026-10-14T15:39:50","slug":"yay-uzunlugu-hesaplama-2","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama-2\/","title":{"rendered":"Yay Uzunlu\u011fu Hesaplama Arac\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Yar\u0131\u00e7ap ve Merkez A\u00e7\u0131 ile Yay Uzunlu\u011fu<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3934\" data-favorite-title=\"Yay uzunlu\u011fu\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama-2\/\" data-favorite-excerpt=\"Bir \u00e7emberin yar\u0131\u00e7ap\u0131n\u0131 ve merkez a\u00e7\u0131s\u0131n\u0131 (derece, radyan veya grad cinsinden) girin; bu hesaplama arac\u0131 s = r\u03b8 form\u00fcl\u00fcyle yay uzunlu\u011funu t\u00fcm hesaplama ad\u0131mlar\u0131yla birlikte an\u0131nda verir.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama-2\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3934\" data-post=\"3934\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Yar\u0131\u00e7ap (r)<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"yarap_r\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"5\" min=\"0\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"mm\">mm<\/option><option value=\"in\">in\u00e7<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">\u00c7emberin merkezinden yaya olan uzakl\u0131k.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Merkez a\u00e7\u0131 (\u03b8)<\/label><div class=\"term\">\u03b8<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"merkez_a_\" id=\"field-3\" aria-describedby=\"calc-info-3\" placeholder=\"60\" step=\"any\" value=\"60\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"deg\" selected>derece<\/option><option value=\"rad\">radyan<\/option><option value=\"grad\">grad<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-3\">Yay\u0131 s\u0131n\u0131rlayan iki yar\u0131\u00e7ap aras\u0131ndaki a\u00e7\u0131.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3934\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Yay Uzunlu\u011funuz<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Yay uzunlu\u011fu<\/span><span class=\"result-term\">s<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Hesaplama<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3934\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Yay uzunlu\u011fu form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ s = r \\cdot \\theta \\]\n\\[ \\theta_{\\text{radyan}} = \\theta_{\\text{derece}} \\cdot \\frac{\\pi}{180} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(s\\) \u2014 yay uzunlu\u011fu (yar\u0131\u00e7apla ayn\u0131 birimde)<\/li>\n<li>\\(r\\) \u2014 \u00e7emberin yar\u0131\u00e7ap\u0131<\/li>\n<li>\\(\\theta\\) \u2014 <em>radyan<\/em> cinsinden merkez a\u00e7\u0131 (yay\u0131 s\u0131n\u0131rland\u0131ran iki yar\u0131\u00e7ap aras\u0131ndaki a\u00e7\u0131)<\/li>\n<\/ul>\n<p>Form\u00fcl, bir yay\u0131n uzunlu\u011funun hem yar\u0131\u00e7ap hem de a\u00e7\u0131yla do\u011fru orant\u0131l\u0131 oldu\u011funu s\u00f6yler: ikisinden birini iki kat\u0131na \u00e7\u0131kar\u0131rsan\u0131z yay uzunlu\u011fu da iki kat\u0131na \u00e7\u0131kar. A\u00e7\u0131n\u0131z derece veya grad cinsinden verilmi\u015fse \u00f6nce radyana \u00e7evrilmesi gerekir; \u00e7\u00fcnk\u00fc \\(1\\) radyan, yar\u0131\u00e7apla ayn\u0131 uzunlukta bir yay\u0131n kar\u015f\u0131l\u0131k geldi\u011fi a\u00e7\u0131 olarak tan\u0131mlan\u0131r.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Yay uzunlu\u011fu \u2013 \u00f6rnek hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> bir \u00e7emberin yar\u0131\u00e7ap\u0131 5 m'dir ve 60\u00b0'lik bir merkez a\u00e7\u0131n\u0131n kesti\u011fi yay\u0131n uzunlu\u011funu bulman\u0131z gerekiyor.<\/p>\n<p>\\[ \\theta = 60 \\cdot \\frac{\\pi}{180} = \\frac{\\pi}{3} \\approx 1.0472 \\text{ radyan} \\]<\/p>\n<p>\\[ s = r \\cdot \\theta = 5 \\times 1.0472 = 5.236 \\text{ m} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> yay uzunlu\u011fu yakla\u015f\u0131k 5,236 m'dir (tam olarak \\(\\frac{5\\pi}{3}\\) m; \u00e7emberin tam \u00e7evresi \\(2\\pi r \\approx 31.416\\) m'nin yakla\u015f\u0131k %17,5'i).<\/p>\n<p>\n\r\n<\/section>\n<h2>Yay uzunlu\u011fu hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Yar\u0131\u00e7ap\u0131 (r)<\/strong> girin \u2014 \u00e7emberin merkezinden yaya olan uzakl\u0131k \u2014 ve birimini se\u00e7in (m, cm, mm, in\u00e7 veya ft).<\/li>\n<li>Yay\u0131 s\u0131n\u0131rland\u0131ran iki yar\u0131\u00e7ap aras\u0131ndaki <strong>Merkez a\u00e7\u0131y\u0131 (\u03b8)<\/strong> girin ve birimini se\u00e7in: <code>deg<\/code>, <code>rad<\/code> veya <code>grad<\/code>.<\/li>\n<li>Sonu\u00e7 panelinde <strong>Yay uzunlu\u011funu<\/strong> g\u00f6r\u00fcn; yar\u0131\u00e7apla ayn\u0131 birimde ifade edilir.<\/li>\n<li><strong>Hesaplama<\/strong> sat\u0131r\u0131n\u0131 kontrol edin; a\u00e7\u0131n\u0131n radyana \u00e7evrilmesini ve \\(s = r\\theta\\) \u00e7arp\u0131m\u0131n\u0131n ad\u0131m ad\u0131m yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6r\u00fcrs\u00fcn\u00fcz.<\/li>\n<\/ol>\n<h2>Yay uzunlu\u011fu nedir?<\/h2>\n<p>Yay, bir \u00e7emberin \u00e7evresi \u00fczerinde iki nokta aras\u0131nda kalan par\u00e7ad\u0131r. <em>Yay uzunlu\u011fu<\/em> ise yay\u0131n bir ucundan \u00f6b\u00fcr ucuna \u00e7emberi izleyerek y\u00fcr\u00fcseydiniz kat edece\u011finiz mesafedir \u2014 iki nokta aras\u0131ndaki d\u00fcz \u00e7izgi mesafesi de\u011fil (o bir kiri\u015f olurdu).<\/p>\n<p>Bir yay\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc yaln\u0131zca iki nicelik belirler: \u00e7emberin yar\u0131\u00e7ap\u0131 ve onu g\u00f6ren merkez a\u00e7\u0131. Merkez a\u00e7\u0131, \u00e7emberin merkezinde yay\u0131n u\u00e7lar\u0131na \u00e7izilen iki yar\u0131\u00e7ap\u0131n olu\u015fturdu\u011fu a\u00e7\u0131d\u0131r. Tam \u00e7ember \\(2\\pi\\) radyana kar\u015f\u0131l\u0131k geldi\u011fi i\u00e7in t\u00fcm \u00e7emberi kaplayan bir yay\u0131n uzunlu\u011fu \\(2\\pi r\\) olur \u2014 bildi\u011fimiz \u00e7evre form\u00fcl\u00fc \u2014 ve daha k\u00fc\u00e7\u00fck her a\u00e7\u0131 bundan orant\u0131l\u0131 bir dilim al\u0131r.<\/p>\n<p>\\(s = r\\theta\\) form\u00fcl\u00fcn\u00fcn \u00e7al\u0131\u015fmas\u0131 i\u00e7in a\u00e7\u0131n\u0131n radyan cinsinden olmas\u0131 gerektirmesinin nedeni de budur. Bir radyan tam olarak yay uzunlu\u011funun yar\u0131\u00e7apa e\u015fit oldu\u011fu a\u00e7\u0131d\u0131r; dolay\u0131s\u0131yla \\(\\theta\\) radyan, \"e\u011fri boyunca \\(\\theta\\) yar\u0131\u00e7ap uzunlu\u011fu\" demektir. Derece cinsinden ayn\u0131 ili\u015fki ek bir \\(\\pi\/180\\) \u00e7arpan\u0131 gerektirir; bu hesaplama arac\u0131 bunu otomatik olarak halleder: a\u00e7\u0131y\u0131 desteklenen \u00fc\u00e7 birimden biriyle girin, d\u00f6n\u00fc\u015ft\u00fcrmeyi sizin yerinize yapar.<\/p>\n<p>Yay uzunlu\u011fu, bir e\u011frinin \u00f6l\u00e7\u00fcld\u00fc\u011f\u00fc her yerde kar\u015f\u0131m\u0131za \u00e7\u0131kar: dairesel bir pistte kat edilen mesafe, b\u00fck\u00fclm\u00fc\u015f bir borunun veya sac b\u00fck\u00fcm\u00fcn\u00fcn uzunlu\u011fu, makaraya sar\u0131l\u0131 kablo ya da bir saat ibresinin ucunun belirli bir s\u00fcre i\u00e7inde \u00e7izdi\u011fi yol. Ayr\u0131ca fizikteki e\u011frisel hareketin ve matematik analizdeki \u00e7izgi integrallerinin de temelini olu\u015fturur.<\/p>\n<h2>S\u0131k kullan\u0131lan merkez a\u00e7\u0131lar ve yaylar\u0131<\/h2>\n<table>\n<thead>\n<tr>\n<th>Merkez a\u00e7\u0131<\/th>\n<th>\u00c7emberin kesri<\/th>\n<th>Yay uzunlu\u011fu<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>30\u00b0<\/td>\n<td>1\/12<\/td>\n<td>\\(\\frac{\\pi r}{6} \\approx 0.524\\,r\\)<\/td>\n<\/tr>\n<tr>\n<td>45\u00b0<\/td>\n<td>1\/8<\/td>\n<td>\\(\\frac{\\pi r}{4} \\approx 0.785\\,r\\)<\/td>\n<\/tr>\n<tr>\n<td>60\u00b0<\/td>\n<td>1\/6<\/td>\n<td>\\(\\frac{\\pi r}{3} \\approx 1.047\\,r\\)<\/td>\n<\/tr>\n<tr>\n<td>90\u00b0<\/td>\n<td>1\/4<\/td>\n<td>\\(\\frac{\\pi r}{2} \\approx 1.571\\,r\\)<\/td>\n<\/tr>\n<tr>\n<td>180\u00b0<\/td>\n<td>1\/2<\/td>\n<td>\\(\\pi r \\approx 3.142\\,r\\)<\/td>\n<\/tr>\n<tr>\n<td>360\u00b0<\/td>\n<td>1<\/td>\n<td>\\(2\\pi r \\approx 6.283\\,r\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>90\u00b0'ye kadar olan a\u00e7\u0131larda yay, yar\u0131\u00e7aptan yaln\u0131zca biraz uzundur \u2014 radyan\u0131n geometrisi bu de\u011ferleri sezgisel k\u0131lar.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca \u00e7ember.<\/strong> \\(s = r\\theta\\) form\u00fcl\u00fc dairesel yaylar i\u00e7in ge\u00e7erlidir. Elips veya rastgele e\u011frilerde yay uzunlu\u011fu bu ara\u00e7la de\u011fil, integral alarak hesaplanmal\u0131d\u0131r.<\/li>\n<li><strong>Tam turu a\u015fan a\u00e7\u0131lar.<\/strong> 360\u00b0'den (veya \\(2\\pi\\) radyandan) b\u00fcy\u00fck bir de\u011fer girerseniz hesaplama arac\u0131 yine \\(r\\theta\\) sonucunu verir; yay \u00e7emberin etraf\u0131n\u0131 birden fazla kez dolan\u0131r \u2014 hesaplama paneli sizi bu durumda uyar\u0131r.<\/li>\n<li><strong>Giri\u015f ve \u00e7\u0131k\u0131\u015fta ayn\u0131 birim.<\/strong> Sonu\u00e7 her zaman yar\u0131\u00e7ap i\u00e7in se\u00e7ti\u011finiz birimde verilir. Yan\u0131t\u0131 ba\u015fka bir birimde istiyorsan\u0131z \u00f6nceden d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/li>\n<li><strong>Daire dilimi mi, yay m\u0131?<\/strong> Bu ara\u00e7 yaln\u0131zca e\u011fri kenar\u0131 \u00f6l\u00e7er. Yay ile iki yar\u0131\u00e7ap aras\u0131nda kalan dilim bi\u00e7imli b\u00f6lgenin alan\u0131na ihtiyac\u0131n\u0131z varsa daire dilimi alan\u0131 form\u00fcl\u00fcn\u00fc \\(A = \\tfrac{1}{2}r^2\\theta\\) kullan\u0131n.<\/li>\n<li><strong>Negatif a\u00e7\u0131lar.<\/strong> Negatif a\u00e7\u0131 bir y\u00f6n (saat y\u00f6n\u00fc) olarak yorumlan\u0131r ve yay uzunlu\u011fu negatif \u00e7\u0131kar; yaln\u0131zca b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00f6nemsiyorsan\u0131z mutlak de\u011feri girin.<\/li>\n<\/ul>\n<h2>\u0130lgili kavramlar<\/h2>\n<p>Yay uzunlu\u011fu, <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/dogru-oranti\/\">do\u011fru orant\u0131n\u0131n<\/a> klasik bir \u00f6rne\u011fidir: \\(s\\), hem \\(r\\) hem de \\(\\theta\\) ile do\u011fru orant\u0131l\u0131d\u0131r ve bu ili\u015fki d\u00fcz bir orant\u0131 olu\u015fturur. Son \u00e7arpma i\u015flemi \\(r \\times \\theta_{\\text{radyan}}\\) elle yap\u0131l\u0131rken <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/carpma-hesaplayici\/\">\u00e7arpma hesaplama arac\u0131yla<\/a> kontrol edebilirsiniz; dereceden radyana d\u00f6n\u00fc\u015f\u00fcm ad\u0131m\u0131 ise \\(180\/\\pi\\) ile yap\u0131lan basit bir <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/\">b\u00f6lme i\u015flemidir<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir \u00e7emberin yar\u0131\u00e7ap\u0131n\u0131 ve merkez a\u00e7\u0131s\u0131n\u0131 (derece, radyan veya grad cinsinden) girin; bu hesaplama arac\u0131 s = r\u03b8 form\u00fcl\u00fcyle yay uzunlu\u011funu t\u00fcm hesaplama ad\u0131mlar\u0131yla birlikte an\u0131nda verir.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[42],"class_list":["post-3934","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-geometri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3934","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3934"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3934\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3934"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3934"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3934"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}