{"id":3917,"date":"2026-10-14T07:21:39","date_gmt":"2026-10-14T06:21:39","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama\/"},"modified":"2026-10-14T07:21:39","modified_gmt":"2026-10-14T06:21:39","slug":"yay-uzunlugu-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama\/","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=\"3917\" data-favorite-title=\"Yay uzunlu\u011fu\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/yay-uzunlugu-hesaplama\/\" data-favorite-excerpt=\"Bir \u00e7emberin yar\u0131\u00e7ap\u0131n\u0131 ve merkez a\u00e7\u0131s\u0131n\u0131 (derece, radyan veya grad cinsinden) girin; bu hesaplay\u0131c\u0131 s = r\u03b8 form\u00fcl\u00fcyle yay uzunlu\u011funu t\u00fcm hesap 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\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3917\" data-post=\"3917\"><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=\"3917\">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=\"3917\" 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{rad}} = \\theta_{\\text{deg}} \\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 radyan cinsinden merkez a\u00e7\u0131 (yay\u0131 kesen iki yar\u0131\u00e7ap aras\u0131ndaki a\u00e7\u0131)<\/li>\n<\/ul>\n<p>Form\u00fcl, bir yay\u0131n uzunlu\u011funun hem yar\u0131\u00e7apla 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 \u00e7evrilmelidir; \u00e7\u00fcnk\u00fc 1 radyan, yar\u0131\u00e7ap uzunlu\u011funa e\u015fit bir yay\u0131 g\u00f6ren 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 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> \u00e7emberin yar\u0131\u00e7ap\u0131 5 m'dir ve 60\u00b0'lik bir merkez a\u00e7\u0131n\u0131n kesti\u011fi yay\u0131n uzunlu\u011fu gerekmektedir.<\/p>\n<p>\\[ \\theta = 60 \\cdot \\frac{\\pi}{180} = \\frac{\\pi}{3} \\approx 1.0472 \\text{ rad} \\]<\/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; tam \u00e7evrenin \u2014 \\(2\\pi r \\approx 31.416\\) m \u2014 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>\u00c7emberin merkezinden yaya olan uzakl\u0131k olan <strong>Yar\u0131\u00e7ap\u0131 (r)<\/strong> girin ve birimini se\u00e7in (m, cm, mm, in veya ft).<\/li>\n<li>Yay\u0131 kesen 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>, yar\u0131\u00e7ap\u0131n\u0131zla ayn\u0131 birimde okuyun.<\/li>\n<li><strong>Hesaplama<\/strong> sat\u0131r\u0131nda a\u00e7\u0131n\u0131n radyana d\u00f6n\u00fc\u015ft\u00fcr\u00fclmesini ve \\(s = r\\theta\\) \u00e7arp\u0131m\u0131n\u0131n ad\u0131m ad\u0131m uygulan\u0131\u015f\u0131n\u0131 g\u00f6r\u00fcn.<\/li>\n<\/ol>\n<h2>Yay uzunlu\u011fu nedir?<\/h2>\n<p>Yay, bir \u00e7emberin \u00e7evresinin iki nokta aras\u0131nda kalan b\u00f6l\u00fcm\u00fcd\u00fcr. <em>Yay uzunlu\u011fu<\/em> ise \u00e7emberin \u00fczerinde yay\u0131n bir ucundan di\u011ferine y\u00fcr\u00fcd\u00fc\u011f\u00fcn\u00fczde kat etti\u011finiz mesafedir \u2014 iki nokta aras\u0131ndaki d\u00fcz mesafe de\u011fildir (o bir kiri\u015f olurdu).<\/p>\n<p>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, yay\u0131n u\u00e7lar\u0131na \u00e7izilen iki yar\u0131\u00e7ap\u0131n \u00e7emberin merkezinde olu\u015fturdu\u011fu a\u00e7\u0131d\u0131r. Tam \u00e7ember \\(2\\pi\\) radyana kar\u015f\u0131l\u0131k geldi\u011finden, \u00e7emberin tamam\u0131n\u0131 kaplayan yay\u0131n uzunlu\u011fu \\(2\\pi r\\) olur \u2014 a\u015fina oldu\u011fumuz \u00e7evre form\u00fcl\u00fc \u2014 ve daha k\u00fc\u00e7\u00fck her a\u00e7\u0131 bundan orant\u0131l\u0131 bir pay al\u0131r.<\/p>\n<p>s = r\u03b8 form\u00fcl\u00fcn\u00fcn \u00e7al\u0131\u015fmas\u0131 i\u00e7in a\u00e7\u0131n\u0131n radyan cinsinden olmas\u0131 gerekti\u011finin nedeni budur. Bir radyan, tam olarak yay uzunlu\u011fu yar\u0131\u00e7apa e\u015fit olan a\u00e7\u0131d\u0131r; dolay\u0131s\u0131yla \u03b8 radyan, \"e\u011fri boyunca \u03b8 yar\u0131\u00e7ap uzunlu\u011fu\" demektir. Derece cinsinden ayn\u0131 ili\u015fki ek bir \u03c0\/180 \u00e7arpan\u0131 gerektirir; bu hesaplay\u0131c\u0131 bunu kendili\u011finden halleder: a\u00e7\u0131y\u0131 desteklenen \u00fc\u00e7 birimden herhangi biriyle girin, d\u00f6n\u00fc\u015f\u00fcm sizin yerinize yap\u0131l\u0131r.<\/p>\n<p>Yay uzunlu\u011fu, bir e\u011frinin \u00f6l\u00e7\u00fcld\u00fc\u011f\u00fc her yerde kar\u015f\u0131n\u0131za \u00e7\u0131kar: dairesel bir pistte kat edilen mesafe, b\u00fck\u00fclm\u00fc\u015f bir borunun ya da sac b\u00fck\u00fcm\u00fcn\u00fcn uzunlu\u011fu, makaraya sar\u0131l\u0131 kablo veya bir akrep ya da yelkovan ucunun belirli bir s\u00fcrede \u00e7izdi\u011fi yol. Ayr\u0131ca fizikte e\u011frisel hareketin ve matematikte \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; radyanlar\u0131n geometrisi bu say\u0131lar\u0131 sezgisel tutar.<\/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 yaylara uygulan\u0131r. Eliptik veya rastgele e\u011friler i\u00e7in yay uzunlu\u011fu bu ara\u00e7la de\u011fil, integral al\u0131narak (analizle) hesaplanmal\u0131d\u0131r.<\/li>\n<li><strong>Tam turdan b\u00fcy\u00fck a\u00e7\u0131lar.<\/strong> 360\u00b0'den (veya \\(2\\pi\\) radyandan) b\u00fcy\u00fck bir de\u011fer girerseniz hesaplay\u0131c\u0131 yine \\(r\\theta\\) sonucunu verir; yay, \u00e7emberin \u00fczerinde birden fazla kez dola\u015fm\u0131\u015f olur \u2014 hesap paneli sizi bu konuda uyar\u0131r.<\/li>\n<li><strong>Giri\u015f ve \u00e7\u0131k\u0131\u015f ayn\u0131 birim.<\/strong> Sonu\u00e7 her zaman yar\u0131\u00e7ap i\u00e7in se\u00e7ti\u011finiz birimde verilir. Yan\u0131t\u0131 farkl\u0131 bir birimde istiyorsan\u0131z \u00f6nceden d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/li>\n<li><strong>Daire dilimi ile yay.<\/strong> Bu ara\u00e7 yaln\u0131zca kavisli kenar\u0131 \u00f6l\u00e7er. Yay ile iki yar\u0131\u00e7ap\u0131n s\u0131n\u0131rlad\u0131\u011f\u0131 dilim bi\u00e7imli b\u00f6lgenin alan\u0131 gerekiyorsa daire dilimi alan 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 ele al\u0131n\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 ili\u015fki d\u00fcz bir orant\u0131 olu\u015fturur. \\(r \\times \\theta_{\\text{rad}}\\) \u00e7arp\u0131m\u0131n\u0131 elle yaparken sonucu <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/carpma-hesaplayici\/\">\u00e7arpma hesaplama arac\u0131yla<\/a> denetleyebilirsiniz; derece-radyan d\u00f6n\u00fc\u015f\u00fcm\u00fc ad\u0131m\u0131 ise \\(180\/\\pi\\)'ye b\u00f6lmekten ibaret 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 hesaplay\u0131c\u0131 s = r\u03b8 form\u00fcl\u00fcyle yay uzunlu\u011funu t\u00fcm hesap 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-3917","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\/3917","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=3917"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3917\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3917"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3917"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3917"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}