{"id":226879,"date":"2025-06-05T16:32:16","date_gmt":"2025-06-05T16:32:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226879"},"modified":"2025-06-05T16:32:17","modified_gmt":"2025-06-05T16:32:17","slug":"find-the-diameter-of-a-circle-with-circumference-150-72-inches","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/find-the-diameter-of-a-circle-with-circumference-150-72-inches\/","title":{"rendered":"Find the diameter of a circle with circumference 150.72 inches."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Find the diameter of a circle with circumference 150.72 inches.<br>Find the diameter of a circle with circumference 150.72 inches.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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 class=\"wp-block-paragraph\"><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The formula for the circumference of a circle is: C=\u03c0dC = \\pi d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>CC is the circumference<\/li>\n\n\n\n<li>\u03c0\\pi (pi) is approximately 3.1416<\/li>\n\n\n\n<li>dd is the diameter<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We are given the circumference C=150.72C = 150.72 inches. To find the diameter dd, rearrange the formula: d=C\u03c0d = \\frac{C}{\\pi} d=150.723.1416\u224848d = \\frac{150.72}{3.1416} \\approx 48<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer: The diameter is approximately 48 inches.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Explanation:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To determine the diameter of a circle when the circumference is known, we rely on the fundamental relationship between the circumference and diameter. This relationship is expressed through the equation: C=\u03c0dC = \\pi d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This means the circumference (the distance around the edge of a circle) is equal to pi times the diameter. Pi, denoted by the Greek letter \u03c0\\pi, is a mathematical constant approximately equal to 3.1416, and it represents the ratio of the circumference to the diameter for any circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When you&#8217;re given the circumference and asked to find the diameter, you simply rearrange the formula to isolate dd: d=C\u03c0d = \\frac{C}{\\pi}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this specific case, the circumference provided is 150.72 inches. Dividing this value by \u03c0\\pi (approximately 3.1416), we get: d=150.723.1416\u224848d = \\frac{150.72}{3.1416} \\approx 48<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the diameter of the circle is approximately <strong>48 inches<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This result makes intuitive sense because the diameter is always a little less than one-third of the circumference, due to the value of pi. Since pi is a little more than 3, dividing the circumference by pi reduces the value to about one-third.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding this relationship helps in various real-life applications, such as determining the size of circular objects like wheels, pipes, or plates. Whether in engineering, carpentry, or crafts, being able to convert between circumference and diameter is a key geometric skill.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-485.jpeg\" alt=\"\" class=\"wp-image-226880\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the diameter of a circle with circumference 150.72 inches.Find the diameter of a circle with circumference 150.72 inches. The Correct Answer and Explanation is: Correct Answer: The formula for the circumference of a circle is: C=\u03c0dC = \\pi d Where: We are given the circumference C=150.72C = 150.72 inches. To find the diameter dd, [&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-226879","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226879","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=226879"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226879\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226879"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226879"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}