{"id":4059,"date":"2026-10-15T02:11:07","date_gmt":"2026-10-15T01:11:07","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/daire-dilimi-alani-hesaplama\/"},"modified":"2026-10-15T02:11:07","modified_gmt":"2026-10-15T01:11:07","slug":"daire-dilimi-alani-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/daire-dilimi-alani-hesaplama\/","title":{"rendered":"Daire dilimi alan\u0131 hesaplama"},"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 A\u00e7\u0131dan Daire Diliminin Alan\u0131n\u0131 Hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4059\" data-favorite-title=\"Daire Dilimi Alan\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/daire-dilimi-alani-hesaplama\/\" data-favorite-excerpt=\"Yar\u0131\u00e7ap ve merkez a\u00e7\u0131dan daire diliminin alan\u0131n\u0131 hesaplay\u0131n. Yar\u0131\u00e7ap\u0131 girin, birim se\u00e7in (derece, radyan veya gradyan) ve dilimin alan\u0131n\u0131, yay uzunlu\u011funu, \u00e7evresini ve tam dairenin hangi kesrini kaplad\u0131\u011f\u0131n\u0131 \u00f6\u011frenin.\" 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\/daire-dilimi-alani-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4059\" data-post=\"4059\"><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<\/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\" 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=\"ft\">ft<\/option><option value=\"in\">in<\/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<\/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=\"text\" name=\"merkez_a\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"60\" min=\"0\" value=\"60\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"deg\" selected>deg<\/option><option value=\"rad\">rad<\/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\">Daire dilimini olu\u015fturan iki yar\u0131\u00e7ap aras\u0131ndaki a\u00e7\u0131. 360\u00b0&#039;den b\u00fcy\u00fck de\u011ferler girebilirsiniz (birden fazla tur).<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4059\">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> Daire Diliminiz<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Daire diliminin alan\u0131<\/span><span class=\"result-term\">A<\/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\" id=\"output-2\"><span class=\"field-title\"><span>Yay uzunlu\u011fu<\/span><span class=\"result-term\">L<\/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 class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>\u00c7evre<\/span><span class=\"result-term\">P<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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-4\"><span class=\"field-title\"><span>Dairenin kesri<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/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-5\"><span class=\"field-title\"><span>Hesaplama ad\u0131mlar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/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=\"4059\" 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>Daire dilimi alan\u0131<\/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\">\\[ A = \\frac{\\theta}{2}\\, r^2 \\qquad L = \\theta\\, r \\qquad P = 2r + L \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki:<\/strong><\/p>\n<ul>\n<li>\\(A\\) \u2014 daire diliminin alan\u0131 (kare birim, \u00f6rne\u011fin m\u00b2)<\/li>\n<li>\\(L\\) \u2014 dilimin yay uzunlu\u011fu (yar\u0131\u00e7apla ayn\u0131 birim)<\/li>\n<li>\\(P\\) \u2014 dilimin \u00e7evresi (iki yar\u0131\u00e7ap art\u0131 yay)<\/li>\n<li>\\(r\\) \u2014 dairenin yar\u0131\u00e7ap\u0131<\/li>\n<li>\\(\\theta\\) \u2014 <strong>radyan<\/strong> cinsinden merkez a\u00e7\u0131<\/li>\n<\/ul>\n<p>Daire diliminin alan\u0131, a\u00e7\u0131n\u0131n \\(\\theta\\) kapsad\u0131\u011f\u0131 \\(\\pi r^2\\) b\u00fcy\u00fckl\u00fc\u011f\u00fcndeki tam daire alan\u0131n\u0131n belirli bir kesridir: tam daire \\(2\\pi\\) radyana kar\u015f\u0131l\u0131k geldi\u011finden dilim bunun \\(\\theta \/ 2\\pi\\) kadar\u0131n\u0131 kaplar.<\/p>\n<p>A\u00e7\u0131n\u0131z derece cinsinden verilmi\u015fse \u00f6nce d\u00f6n\u00fc\u015ft\u00fcr\u00fcn: \\(\\theta_{\\text{rad}} = \\theta_{\\text{deg}} \\cdot \\pi \/ 180\\). Hesaplay\u0131c\u0131 bu d\u00f6n\u00fc\u015f\u00fcm\u00fc otomatik olarak yapar.<\/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>Daire dilimi alan\u0131 \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> bir daire diliminin yar\u0131\u00e7ap\u0131 5 m, merkez a\u00e7\u0131s\u0131 60\u00b0'dir. Alan\u0131n\u0131, yay uzunlu\u011funu ve \u00e7evresini bulal\u0131m.<\/p>\n<p>\\[ \\theta = 60\u00b0 \\cdot \\frac{\\pi}{180} = \\frac{\\pi}{3} \\approx 1.047 \\text{ rad} \\]<\/p>\n<p>\\[ A = \\frac{\\theta}{2} r^2 = \\frac{1.047}{2} \\cdot 5^2 \\approx 13.09 \\text{ m}^2 \\]<\/p>\n<p>\\[ L = \\theta r = 1.047 \\cdot 5 \\approx 5.236 \\text{ m}, \\qquad P = 2 \\cdot 5 + 5.236 \\approx 15.236 \\text{ m} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> daire diliminin alan\u0131 yakla\u015f\u0131k 13,09 m\u00b2, yay uzunlu\u011fu 5,236 m, \u00e7evresi ise 15,236 m'dir. Dilim, tam dairenin \\(60\/360 = 1\/6 \\approx 0.167\\) kadar\u0131n\u0131 kaplar.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Dairenin <strong>Yar\u0131\u00e7ap\u0131n\u0131<\/strong> girin ve birimini se\u00e7in (m, cm, mm, ft veya in). Alan, kar\u015f\u0131l\u0131k gelen kare birimde g\u00f6sterilir.<\/li>\n<li>\u0130ki yar\u0131\u00e7ap aras\u0131ndaki <strong>Merkez a\u00e7\u0131y\u0131<\/strong> girin ve birimini se\u00e7in: derece (deg), radyan (rad) veya gradyan (grad).<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>Daire diliminin alan\u0131<\/strong> (kar\u015f\u0131la\u015ft\u0131rma i\u00e7in tam dairenin alan\u0131yla birlikte), <strong>Yay uzunlu\u011fu<\/strong>, <strong>\u00c7evre<\/strong>, <strong>Dairenin kesri<\/strong> ve hesaplaman\u0131n ad\u0131m ad\u0131m a\u00e7\u0131klamas\u0131.<\/li>\n<\/ol>\n<p>Yar\u0131\u00e7ap da a\u00e7\u0131 da s\u0131f\u0131rdan b\u00fcy\u00fck olmal\u0131d\u0131r. 360\u00b0'den b\u00fcy\u00fck a\u00e7\u0131lar da kabul edilir \u2014 bu durumda dilim merkez etraf\u0131nda birden fazla kez d\u00f6ner ve alan buna g\u00f6re b\u00fcy\u00fcr.<\/p>\n<h2>Daire dilimi nedir?<\/h2>\n<p>Daire dilimi, bir dairede iki yar\u0131\u00e7ap ve bunlar aras\u0131ndaki yayla s\u0131n\u0131rlanan b\u00f6lgedir \u2014 bir pizza diliminin, pasta grafi\u011findeki bir par\u00e7an\u0131n ya da bir yelpazenin bi\u00e7imi. Her dilim tam olarak iki b\u00fcy\u00fckl\u00fckle tan\u0131mlan\u0131r: ait oldu\u011fu dairenin yar\u0131\u00e7ap\u0131 \\(r\\) ve \"dilimin\" merkezde ne kadar a\u00e7\u0131ld\u0131\u011f\u0131n\u0131 belirleyen merkez a\u00e7\u0131 \\(\\theta\\).<\/p>\n<p>Form\u00fcl\u00fcn arkas\u0131ndaki ana fikir orant\u0131d\u0131r. \\(2\\pi\\) radyanl\u0131k a\u00e7\u0131ya sahip tam dairenin alan\u0131 \\(\\pi r^2\\) olur; \\(\\theta\\) a\u00e7\u0131l\u0131 bir dilim bu alan\u0131n tam olarak \\(\\theta\/2\\pi\\) kadar\u0131n\u0131 kaplar. \\(\\pi\\) sadele\u015fince kompakt sonu\u00e7 \\(A = \\frac{\\theta}{2} r^2\\) \u00e7\u0131kar. Yar\u0131\u00e7ap sabitken alan, a\u00e7\u0131yla <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/dogru-oranti\/\">do\u011fru orant\u0131l\u0131<\/a> olarak artar: a\u00e7\u0131y\u0131 iki kat\u0131na \u00e7\u0131kar\u0131rsan\u0131z alan da iki kat\u0131na \u00e7\u0131kar. Yar\u0131\u00e7ap\u0131 iki kat\u0131na \u00e7\u0131kar\u0131rsan\u0131z ise alan d\u00f6rt kat\u0131na \u00e7\u0131kar, \u00e7\u00fcnk\u00fc \\(r\\) terimi karesiyle girer.<\/p>\n<p>Sonu\u00e7lar\u0131 yorumlamak kolayd\u0131r: <strong>yay uzunlu\u011fu<\/strong>, dilimin kavisli kenar\u0131n\u0131n ne kadar uzun oldu\u011funu s\u00f6yler; bu, malzeme kestirimi (s\u00fcp\u00fcrgelik, \u00e7it, b\u00fck\u00fclm\u00fc\u015f boru) i\u00e7in i\u015fe yarar. <strong>\u00c7evre<\/strong>, yaya iki d\u00fcz yar\u0131\u00e7ap\u0131 ekler \u2014 dilimin t\u00fcm s\u0131n\u0131r\u0131n\u0131n uzunlu\u011fu. <strong>Dairenin kesri<\/strong> ise b\u00fcy\u00fckl\u00fc\u011f\u00fc ba\u011flama oturtur: 90\u00b0'lik dilim dairenin \u00e7eyre\u011fi, 60\u00b0'lik dilim alt\u0131da biridir; pasta grafiklerinin oranlar\u0131 da tam olarak b\u00f6yle \u00e7al\u0131\u015f\u0131r.<\/p>\n<h2>Birimler, varsay\u0131mlar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>A\u00e7\u0131 birimi \u00f6nemlidir.<\/strong> Form\u00fcl radyan ister. Dereceyle elle hesap yap\u0131yorsan\u0131z \u00f6nce \\(\\pi\/180\\) ile \u00e7arp\u0131n. Hesaplay\u0131c\u0131 derece, radyan ve gradyan d\u00f6n\u00fc\u015f\u00fcmlerini otomatik yapar. Bir gradyan 0,9\u00b0'dir ve tam tur 400 gradyand\u0131r.<\/li>\n<li><strong>Alan i\u00e7in uzunluk birimi karesel \u00e7\u0131kar.<\/strong> Metre cinsinden yar\u0131\u00e7ap m\u00b2 ile sonu\u00e7 verir; santimetre cinsinden yar\u0131\u00e7ap cm\u00b2 verir. Birimleri kar\u0131\u015ft\u0131rmak (\u00f6rne\u011fin yar\u0131\u00e7ap\u0131 metre girip cm\u00b2 beklemek) s\u0131k yap\u0131lan bir hatad\u0131r.<\/li>\n<li><strong>Dilim d\u00fczlemsel bir \u015fekildir.<\/strong> Hesaplama d\u00fcz bir daire dilimi varsayar; k\u00fcresel veya konik dilimlere (\u00f6rne\u011fin koninin e\u011fik y\u00fczeyine) uygulanmaz.<\/li>\n<li><strong>360\u00b0'yi a\u015fan a\u00e7\u0131lar<\/strong> tam turdan fazla d\u00f6nen, kendi \u00fczerine binen dilimler olu\u015fturur \u2014 bu durumda alan t\u00fcm daireden bile b\u00fcy\u00fck olur. Bunlar\u0131 yaln\u0131zca ger\u00e7ekten istedi\u011finiz sonu\u00e7 buysa kullan\u0131n.<\/li>\n<li><strong>\u00d6zel durumlar:<\/strong> \\(\\theta = 2\\pi\\) iken dilim \\(\\pi r^2\\) alanl\u0131 tam daire olur; \\(\\theta = \\pi\\) iken yar\u0131mdairedir; alan\u0131 \\(\\pi r^2\/2\\), \u00e7evresi \\(P = 2r + \\pi r\\) olur.<\/li>\n<\/ul>\n<h2>H\u0131zl\u0131 ba\u015fvuru tablosu<\/h2>\n<p>S\u0131k kullan\u0131lan a\u00e7\u0131lar\u0131n daireyi kesirleri:<\/p>\n<table>\n<thead>\n<tr>\n<th>Merkez a\u00e7\u0131<\/th>\n<th>Radyan kar\u015f\u0131l\u0131\u011f\u0131<\/th>\n<th>Dairenin kesri<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>30\u00b0<\/td>\n<td>\\(\\pi\/6 \\approx 0.524\\)<\/td>\n<td>1\/12<\/td>\n<\/tr>\n<tr>\n<td>45\u00b0<\/td>\n<td>\\(\\pi\/4 \\approx 0.785\\)<\/td>\n<td>1\/8<\/td>\n<\/tr>\n<tr>\n<td>60\u00b0<\/td>\n<td>\\(\\pi\/3 \\approx 1.047\\)<\/td>\n<td>1\/6<\/td>\n<\/tr>\n<tr>\n<td>90\u00b0<\/td>\n<td>\\(\\pi\/2 \\approx 1.571\\)<\/td>\n<td>1\/4<\/td>\n<\/tr>\n<tr>\n<td>180\u00b0<\/td>\n<td>\\(\\pi \\approx 3.142\\)<\/td>\n<td>1\/2<\/td>\n<\/tr>\n<tr>\n<td>270\u00b0<\/td>\n<td>\\(3\\pi\/2 \\approx 4.712\\)<\/td>\n<td>3\/4<\/td>\n<\/tr>\n<tr>\n<td>360\u00b0<\/td>\n<td>\\(2\\pi \\approx 6.283\\)<\/td>\n<td>1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Bu tablodan alan\u0131 bulmak i\u00e7in kesri tam dairenin alan\u0131 \\(\\pi r^2\\) ile <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/carpma-hesaplayici\/\">\u00e7arpman\u0131z<\/a> yeterlidir \u2014 ya da bu i\u015fi hesaplay\u0131c\u0131ya b\u0131rak\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yar\u0131\u00e7ap ve merkez a\u00e7\u0131dan daire diliminin alan\u0131n\u0131 hesaplay\u0131n. Yar\u0131\u00e7ap\u0131 girin, birim se\u00e7in (derece, radyan veya gradyan) ve dilimin alan\u0131n\u0131, yay uzunlu\u011funu, \u00e7evresini ve tam dairenin hangi kesrini kaplad\u0131\u011f\u0131n\u0131 \u00f6\u011frenin.<\/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-4059","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\/4059","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=4059"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4059\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}