{"id":24634,"date":"2025-06-18T16:36:14","date_gmt":"2025-06-18T16:36:14","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24634"},"modified":"2025-06-18T16:36:16","modified_gmt":"2025-06-18T16:36:16","slug":"the-area-of-a-circle-is-113-04-in","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-area-of-a-circle-is-113-04-in\/","title":{"rendered":"The area of a circle is 113.04 in."},"content":{"rendered":"\n<p>The area of a circle is 113.04 in. 2. What is the radius of the circle?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>radius<\/strong> of a circle when given the <strong>area<\/strong>, we use the formula for the area of a circle:A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>AAA is the area<\/li>\n\n\n\n<li>\u03c0\\pi\u03c0 is approximately 3.14<\/li>\n\n\n\n<li>rrr is the radius<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step solution:<\/h3>\n\n\n\n<p>Given:A=113.04&nbsp;in2A = 113.04 \\text{ in}^2A=113.04&nbsp;in2<\/p>\n\n\n\n<p>Using the formula:113.04=3.14\u00d7r2113.04 = 3.14 \\times r^2113.04=3.14\u00d7r2<\/p>\n\n\n\n<p>To find r2r^2r2, divide both sides by 3.14:r2=113.043.14r^2 = \\frac{113.04}{3.14}r2=3.14113.04\u200br2=36r^2 = 36r2=36<\/p>\n\n\n\n<p>Now take the square root of both sides:r=36r = \\sqrt{36}r=36\u200br=6r = 6r=6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>6&nbsp;inches\\boxed{6 \\text{ inches}}6&nbsp;inches\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>To determine the radius of a circle when you are given its area, you must understand the relationship between the radius and the area. The formula used to calculate the area of a circle is A=\u03c0r2A = \\pi r^2A=\u03c0r2, which means the area is equal to the constant pi multiplied by the square of the radius.<\/p>\n\n\n\n<p>In this problem, the area is given as 113.04 square inches. Since pi is approximately 3.14, we substitute both the area and pi into the formula. This gives the equation 113.04=3.14\u00d7r2113.04 = 3.14 \\times r^2113.04=3.14\u00d7r2. The next step is to isolate r2r^2r2 by dividing both sides of the equation by 3.14. This results in r2=36r^2 = 36r2=36. Once you have the value of r2r^2r2, you can find the radius by taking the square root of 36. The square root of 36 is 6, so the radius of the circle is 6 inches.<\/p>\n\n\n\n<p>This process demonstrates how algebra can be used to reverse a formula and solve for a missing variable. Instead of calculating area from a known radius, we start with the area and work backward to find the radius. This kind of problem is common in geometry and helps build a solid understanding of how mathematical formulas work and how they can be rearranged to solve for different parts of a shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1.jpeg\" alt=\"\" class=\"wp-image-24638\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The area of a circle is 113.04 in. 2. What is the radius of the circle? The Correct Answer and Explanation is: To find the radius of a circle when given the area, we use the formula for the area of a circle:A=\u03c0r2A = \\pi r^2A=\u03c0r2 Where: Step-by-step solution: Given:A=113.04&nbsp;in2A = 113.04 \\text{ in}^2A=113.04&nbsp;in2 Using [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24634","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24634","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24634"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24634\/revisions"}],"predecessor-version":[{"id":24639,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24634\/revisions\/24639"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24634"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24634"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24634"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}