{"id":139354,"date":"2024-09-17T08:20:48","date_gmt":"2024-09-17T08:20:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=139354"},"modified":"2024-09-17T08:20:50","modified_gmt":"2024-09-17T08:20:50","slug":"which-of-the-following-is-the-circumference-of-the-circle-in-terms-of-pi-%cf%80","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/17\/which-of-the-following-is-the-circumference-of-the-circle-in-terms-of-pi-%cf%80\/","title":{"rendered":"Which of the following is the circumference of the circle in terms of pi (\u03c0)"},"content":{"rendered":"\n<p>A circle has an area of 121\u03c0 in2. Which of the following is the circumference of the circle in terms of pi (\u03c0)?<\/p>\n\n\n\n<p>A.<br>11 \u03c0 in<\/p>\n\n\n\n<p>B.<br>22 \u03c0 in<\/p>\n\n\n\n<p>C.<br>44 \u03c0 in<\/p>\n\n\n\n<p>D.<br>5.5 \u03c0 in<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the circumference of a circle given its area, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the given information:<\/strong>\n<ul class=\"wp-block-list\">\n<li>The area of the circle is 121\u03c0\u2009in2121\\pi \\, \\text{in}^2121\u03c0in2.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Use the formula for the area of a circle:<\/strong>Area=\u03c0r2\\text{Area} = \\pi r^2Area=\u03c0r2where rrr is the radius of the circle.<\/li>\n\n\n\n<li><strong>Set up the equation with the given area:<\/strong>121\u03c0=\u03c0r2121\\pi = \\pi r^2121\u03c0=\u03c0r2<\/li>\n\n\n\n<li><strong>Solve for r2r^2r2:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Divide both sides of the equation by \u03c0\\pi\u03c0: 121=r2121 = r^2121=r2<\/li>\n\n\n\n<li>Take the square root of both sides to find rrr: r=121=11\u2009inr = \\sqrt{121} = 11 \\, \\text{in}r=121\u200b=11in<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Use the formula for the circumference of a circle:<\/strong>Circumference=2\u03c0r\\text{Circumference} = 2\\pi rCircumference=2\u03c0rwhere rrr is the radius.<\/li>\n\n\n\n<li><strong>Substitute rrr into the circumference formula:<\/strong>Circumference=2\u03c0\u00d711\\text{Circumference} = 2\\pi \\times 11Circumference=2\u03c0\u00d711 Circumference=22\u03c0\u2009in\\text{Circumference} = 22\\pi \\, \\text{in}Circumference=22\u03c0in<\/li>\n<\/ol>\n\n\n\n<p>Thus, the circumference of the circle is 22\u03c0\u2009in22\\pi \\, \\text{in}22\u03c0in.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The area of a circle is given by the formula \u03c0r2\\pi r^2\u03c0r2. In this problem, the area is 121\u03c0121\\pi121\u03c0, which allows us to solve for the radius by isolating r2r^2r2 and taking the square root. Once we have the radius, we use the circumference formula 2\u03c0r2\\pi r2\u03c0r to find the circumference. By substituting r=11r = 11r=11 inches into the circumference formula, we get 22\u03c022\\pi22\u03c0 inches.<\/p>\n\n\n\n<p><strong>Correct answer: B. 22 \u03c0 in<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A circle has an area of 121\u03c0 in2. Which of the following is the circumference of the circle in terms of pi (\u03c0)? A.11 \u03c0 in B.22 \u03c0 in C.44 \u03c0 in D.5.5 \u03c0 in The Correct Answer and Explanation is: To find the circumference of a circle given its area, follow these steps: Thus, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-139354","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139354","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=139354"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139354\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=139354"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=139354"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=139354"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}