{"id":139030,"date":"2024-09-16T16:02:45","date_gmt":"2024-09-16T16:02:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=139030"},"modified":"2024-09-16T16:02:46","modified_gmt":"2024-09-16T16:02:46","slug":"which-of-the-following-is-the-circumference-of-the-circle-in-terms-of-pi-pi","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/16\/which-of-the-following-is-the-circumference-of-the-circle-in-terms-of-pi-pi\/","title":{"rendered":"Which of the following is the circumference of the circle in terms of pi ((pi))"},"content":{"rendered":"\n<p>A circle has an area of 9 (pi) in2. Which of the following is the circumference of the circle in terms of pi ((pi))?<\/p>\n\n\n\n<p>A.<br>12 \u03c0 in<\/p>\n\n\n\n<p>B.<br>6 \u03c0 in<\/p>\n\n\n\n<p>C.<br>9 \u03c0 in<\/p>\n\n\n\n<p>D.<br>3 \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-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the circumference of a circle when given its area, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the Radius from the Area<\/h3>\n\n\n\n<p>The formula for the area of a circle is given by: A=\u03c0r2A = \\pi r^2A=\u03c0r2 where AAA is the area and rrr is the radius.<\/p>\n\n\n\n<p>You are given the area of the circle as 9\u03c09\\pi9\u03c0 square inches. Set this equal to the formula for the area: 9\u03c0=\u03c0r29\\pi = \\pi r^29\u03c0=\u03c0r2<\/p>\n\n\n\n<p>To solve for r2r^2r2, divide both sides by \u03c0\\pi\u03c0: 9=r29 = r^29=r2<\/p>\n\n\n\n<p>Next, take the square root of both sides to find rrr: r=9r = \\sqrt{9}r=9\u200b r=3&nbsp;inchesr = 3 \\text{ inches}r=3&nbsp;inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Circumference<\/h3>\n\n\n\n<p>The formula for the circumference CCC of a circle is: C=2\u03c0rC = 2 \\pi rC=2\u03c0r<\/p>\n\n\n\n<p>Substitute the value of rrr (which is 3 inches) into the formula: C=2\u03c0\u00d73C = 2 \\pi \\times 3C=2\u03c0\u00d73 C=6\u03c0&nbsp;inchesC = 6 \\pi \\text{ inches}C=6\u03c0&nbsp;inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The circumference of the circle is 6\u03c06\\pi6\u03c0 inches.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To recap, the area of a circle is dependent on the square of the radius, and the circumference is directly proportional to the radius. By rearranging the area formula, we determined the radius of the circle and then used this radius to compute the circumference. The steps show how each measurement (area and circumference) relates through the radius, providing a clear path from one to the other. This illustrates not only how to find the circumference given the area but also the interconnectedness of these fundamental geometric properties. The correct answer is:<\/p>\n\n\n\n<p><strong>B. 6 \u03c0 in<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A circle has an area of 9 (pi) in2. Which of the following is the circumference of the circle in terms of pi ((pi))? A.12 \u03c0 in B.6 \u03c0 in C.9 \u03c0 in D.3 \u03c0 in The Correct Answer and Explanation is: To determine the circumference of a circle when given its area, follow these [&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-139030","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139030","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=139030"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139030\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=139030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=139030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=139030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}