{"id":164705,"date":"2024-11-10T12:37:55","date_gmt":"2024-11-10T12:37:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=164705"},"modified":"2024-11-10T12:37:56","modified_gmt":"2024-11-10T12:37:56","slug":"the-circumference-of-a-circle-is-50-3-ft","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/10\/the-circumference-of-a-circle-is-50-3-ft\/","title":{"rendered":"The circumference of a circle is 50.3 ft"},"content":{"rendered":"\n<p>The circumference of a circle is 50.3 ft. Find the radius of the circle in feet rounded<br>to the nearest whole number. Use 3.14 for T, and enter the number only.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the radius of a circle given the circumference, we can use the formula for the circumference of a circle:<\/p>\n\n\n\n<p>[<br>C = 2 \\pi r<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( C ) is the circumference of the circle,<\/li>\n\n\n\n<li>( \\pi ) (pi) is approximately 3.14,<\/li>\n\n\n\n<li>( r ) is the radius of the circle.<\/li>\n<\/ul>\n\n\n\n<p>Given that the circumference ( C = 50.3 ) feet, we can substitute this value into the formula:<\/p>\n\n\n\n<p>[<br>50.3 = 2 \\times 3.14 \\times r<br>]<\/p>\n\n\n\n<p>To solve for ( r ), we need to isolate ( r ) on one side of the equation. First, divide both sides of the equation by ( 2 \\times 3.14 ) (which is 6.28):<\/p>\n\n\n\n<p>[<br>r = \\frac{50.3}{6.28}<br>]<\/p>\n\n\n\n<p>Now, perform the division:<\/p>\n\n\n\n<p>[<br>r = 8.0 \\text{ feet}<br>]<\/p>\n\n\n\n<p>Thus, the radius of the circle is approximately <strong>8 feet<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The circumference of a circle is the distance around the outside of the circle, and it&#8217;s directly related to the radius through the formula ( C = 2 \\pi r ). In this case, we are given the circumference (50.3 feet) and asked to find the radius. To solve this, we simply rearrange the formula to solve for ( r ), which involves dividing the circumference by ( 2 \\pi ). By using an approximation of 3.14 for ( \\pi ), we were able to compute the radius as 8 feet.<\/p>\n\n\n\n<p>This method of solving for the radius works because the relationship between the circumference and the radius of a circle is linear. The factor ( 2 \\pi ) is a constant, so once we know the circumference, we can easily compute the radius by dividing the circumference by this constant. This is a straightforward mathematical operation that gives us a reliable measure of the radius.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The circumference of a circle is 50.3 ft. Find the radius of the circle in feet roundedto the nearest whole number. Use 3.14 for T, and enter the number only. The Correct Answer and Explanation is : To find the radius of a circle given the circumference, we can use the formula for the circumference [&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-164705","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164705","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=164705"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164705\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}