{"id":72020,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/how-do-you-find-the-area-of-circle-using-integrals-in-calculus"},"modified":"2017-08-18T06:24:29","modified_gmt":"2017-08-18T06:24:29","slug":"how-do-you-find-the-area-of-circle-using-integrals-in-calculus","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/how-do-you-find-the-area-of-circle-using-integrals-in-calculus\/","title":{"rendered":"How do you find the area of circle using integrals in calculus?"},"content":{"rendered":"<p>By using polar coordinates, the area of a circle centered at the origin with radius ##R## can be expressed: ##A=int_0^{2pi}int_0^R rdrd theta=piR^2##<\/p>\n<p>Let us evaluate the integral, ##A=int_0^{2pi}int_0^R rdrd theta## by evaluating the inner integral, ##=int_0^{2pi}[{r^2}\/2]_0^R d theta=int_0^{2pi}R^2\/2 d theta## by kicking the constant ##R^2\/2## out of the integral, ##R^2\/2int_0^{2pi} d theta=R^2\/2[theta]_0^{2pi}=R^2\/2 cdot 2pi=piR^2##<\/p>\n","protected":false},"excerpt":{"rendered":"<p>By using polar coordinates, the area of a circle centered at the origin with radius ##R## can be expressed: ##A=int_0^{2pi}int_0^R rdrd theta=piR^2## Let us evaluate the integral, ##A=int_0^{2pi}int_0^R rdrd theta## by evaluating the inner integral, ##=int_0^{2pi}[{r^2}\/2]_0^R d theta=int_0^{2pi}R^2\/2 d theta## <a href=\"https:\/\/www.benedictsol.com\/blogs\/how-do-you-find-the-area-of-circle-using-integrals-in-calculus\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-72020","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/72020","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=72020"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/72020\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=72020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=72020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=72020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}