{"id":254244,"date":"2025-07-12T12:19:54","date_gmt":"2025-07-12T12:19:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=254244"},"modified":"2025-07-12T12:19:56","modified_gmt":"2025-07-12T12:19:56","slug":"find-the-indicated-measure","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/find-the-indicated-measure\/","title":{"rendered":"Find the indicated measure"},"content":{"rendered":"\n<p>Find the indicated measure. 4. The exact radius of a circle with circumference 36 meters 5. The exact diameter of a circle with circumference 29 feet 6. The exact circumference of a circle with diameter 26 inches 7. The exact circumference of a circle with radius 15 centimeters<\/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<h3 class=\"wp-block-heading\">4. The exact radius of a circle with circumference 36 meters<\/h3>\n\n\n\n<p>The formula for the circumference of a circle is given by: C=2\u03c0rC = 2\\pi rC=2\u03c0r<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>CCC is the circumference,<\/li>\n\n\n\n<li>rrr is the radius,<\/li>\n\n\n\n<li>\u03c0\\pi\u03c0 is approximately 3.1416.<\/li>\n<\/ul>\n\n\n\n<p>To find the radius (rrr), we rearrange the formula: r=C2\u03c0r = \\frac{C}{2\\pi}r=2\u03c0C\u200b<\/p>\n\n\n\n<p>Substituting C=36C = 36C=36 meters: r=362\u03c0=366.2832\u22485.73\u2009metersr = \\frac{36}{2\\pi} = \\frac{36}{6.2832} \\approx 5.73 \\, \\text{meters}r=2\u03c036\u200b=6.283236\u200b\u22485.73meters<\/p>\n\n\n\n<p>So, the exact radius is 362\u03c0\\frac{36}{2\\pi}2\u03c036\u200b meters, or approximately 5.73 meters.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. The exact diameter of a circle with circumference 29 feet<\/h3>\n\n\n\n<p>The formula for the circumference of a circle can also be written in terms of the diameter: C=\u03c0dC = \\pi dC=\u03c0d<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>CCC is the circumference,<\/li>\n\n\n\n<li>ddd is the diameter.<\/li>\n<\/ul>\n\n\n\n<p>Rearranging the formula to solve for the diameter: d=C\u03c0d = \\frac{C}{\\pi}d=\u03c0C\u200b<\/p>\n\n\n\n<p>Substituting C=29C = 29C=29 feet: d=29\u03c0=293.1416\u22489.24\u2009feetd = \\frac{29}{\\pi} = \\frac{29}{3.1416} \\approx 9.24 \\, \\text{feet}d=\u03c029\u200b=3.141629\u200b\u22489.24feet<\/p>\n\n\n\n<p>So, the exact diameter is 29\u03c0\\frac{29}{\\pi}\u03c029\u200b feet, or approximately 9.24 feet.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. The exact circumference of a circle with diameter 26 inches<\/h3>\n\n\n\n<p>We use the formula for the circumference in terms of diameter: C=\u03c0dC = \\pi dC=\u03c0d<\/p>\n\n\n\n<p>Substituting d=26d = 26d=26 inches: C=\u03c0\u00d726=3.1416\u00d726\u224881.68\u2009inchesC = \\pi \\times 26 = 3.1416 \\times 26 \\approx 81.68 \\, \\text{inches}C=\u03c0\u00d726=3.1416\u00d726\u224881.68inches<\/p>\n\n\n\n<p>So, the exact circumference is \u03c0\u00d726\\pi \\times 26\u03c0\u00d726 inches, or approximately 81.68 inches.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7. The exact circumference of a circle with radius 15 centimeters<\/h3>\n\n\n\n<p>Again, using the formula for the circumference: C=2\u03c0rC = 2\\pi rC=2\u03c0r<\/p>\n\n\n\n<p>Substituting r=15r = 15r=15 centimeters: C=2\u03c0\u00d715=30\u03c0\u2009centimetersC = 2\\pi \\times 15 = 30\\pi \\, \\text{centimeters}C=2\u03c0\u00d715=30\u03c0centimeters<\/p>\n\n\n\n<p>So, the exact circumference is 30\u03c030\\pi30\u03c0 centimeters, or approximately 94.25 centimeters.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The exact radius of a circle with circumference 36 meters is 362\u03c0\\frac{36}{2\\pi}2\u03c036\u200b meters, or approximately 5.73 meters.<\/li>\n\n\n\n<li>The exact diameter of a circle with circumference 29 feet is 29\u03c0\\frac{29}{\\pi}\u03c029\u200b feet, or approximately 9.24 feet.<\/li>\n\n\n\n<li>The exact circumference of a circle with diameter 26 inches is \u03c0\u00d726\\pi \\times 26\u03c0\u00d726 inches, or approximately 81.68 inches.<\/li>\n\n\n\n<li>The exact circumference of a circle with radius 15 centimeters is 30\u03c030\\pi30\u03c0 centimeters, or approximately 94.25 centimeters.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-374.jpeg\" alt=\"\" class=\"wp-image-254245\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the indicated measure. 4. The exact radius of a circle with circumference 36 meters 5. The exact diameter of a circle with circumference 29 feet 6. The exact circumference of a circle with diameter 26 inches 7. The exact circumference of a circle with radius 15 centimeters The Correct Answer and Explanation is: 4. [&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-254244","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254244","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=254244"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254244\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=254244"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=254244"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=254244"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}