{"id":42123,"date":"2025-06-28T13:42:35","date_gmt":"2025-06-28T13:42:35","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42123"},"modified":"2025-06-28T13:42:38","modified_gmt":"2025-06-28T13:42:38","slug":"what-is-the-length-of-arc-ac-to-the-nearest-tenth-of-a-centimeter","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-length-of-arc-ac-to-the-nearest-tenth-of-a-centimeter\/","title":{"rendered":"What is the length of Arc AC to the nearest tenth of a centimeter"},"content":{"rendered":"\n<p>Circle B below has a radius of 10.5 centimeters and<br>. What is the length of Arc AC to the nearest tenth of a centimeter?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"527\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-450.png\" alt=\"\" class=\"wp-image-42124\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-450.png 683w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-450-300x231.png 300w\" sizes=\"auto, (max-width: 683px) 100vw, 683px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the length of Arc AC, we can use the formula for the length of an arc in a circle: Arc&nbsp;Length=2\u03c0r\u00d7\u03b8360\\text{Arc Length} = 2\\pi r \\times \\frac{\\theta}{360}Arc&nbsp;Length=2\u03c0r\u00d7360\u03b8\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>rrr is the radius of the circle,<\/li>\n\n\n\n<li>\u03b8\\theta\u03b8 is the central angle in degrees.<\/li>\n<\/ul>\n\n\n\n<p>Given that the radius r=10.5\u2009cmr = 10.5 \\, \\text{cm}r=10.5cm and the central angle \u03b8=18\u2218\\theta = 18^\\circ\u03b8=18\u2218, we can plug these values into the formula.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate the total circumference of the circle first:<\/li>\n<\/ol>\n\n\n\n<p>Circumference=2\u03c0\u00d710.5=66\u2009cm(approx.)\\text{Circumference} = 2\\pi \\times 10.5 = 66 \\, \\text{cm} \\quad (\\text{approx.})Circumference=2\u03c0\u00d710.5=66cm(approx.)<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Now calculate the fraction of the circle&#8217;s circumference that corresponds to the central angle of 18\u221818^\\circ18\u2218:<\/li>\n<\/ol>\n\n\n\n<p>Arc&nbsp;Length=66\u00d718360=66\u00d70.05=3.3\u2009cm\\text{Arc Length} = 66 \\times \\frac{18}{360} = 66 \\times 0.05 = 3.3 \\, \\text{cm}Arc&nbsp;Length=66\u00d736018\u200b=66\u00d70.05=3.3cm<\/p>\n\n\n\n<p>Thus, the length of Arc AC to the nearest tenth of a centimeter is <strong>3.3 cm<\/strong>.<\/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-banner8-1391.jpeg\" alt=\"\" class=\"wp-image-42125\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1391.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1391-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1391-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Circle B below has a radius of 10.5 centimeters and. What is the length of Arc AC to the nearest tenth of a centimeter? The Correct Answer and Explanation is: To find the length of Arc AC, we can use the formula for the length of an arc in a circle: Arc&nbsp;Length=2\u03c0r\u00d7\u03b8360\\text{Arc Length} = 2\\pi [&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-42123","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42123","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=42123"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42123\/revisions"}],"predecessor-version":[{"id":42126,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42123\/revisions\/42126"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42123"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42123"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}