{"id":269197,"date":"2025-07-24T11:37:31","date_gmt":"2025-07-24T11:37:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=269197"},"modified":"2025-07-24T11:37:33","modified_gmt":"2025-07-24T11:37:33","slug":"find-the-area-of-a-regular-hexagon-with-radius-12-in-round-to-the-nearest-whole-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/24\/find-the-area-of-a-regular-hexagon-with-radius-12-in-round-to-the-nearest-whole-number\/","title":{"rendered":"find the area of a regular hexagon with radius 12 in round to the nearest whole number"},"content":{"rendered":"\n

find the area of a regular hexagon with radius 12 in round to the nearest whole number<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the area of a regular hexagon circumscribed about a circle, you need to know the relationship between the radius of the circle and the side length of the hexagon.<\/p>\n\n\n\n

Step 1: Relationship Between the Radius and the Side Length<\/h3>\n\n\n\n

In a regular hexagon, each side length is equal to the radius of the circumscribed circle. Therefore, if the radius of the circle is 12 units, the side length of the hexagon is also 12 units.<\/p>\n\n\n\n

Step 2: Formula for the Area of a Regular Hexagon<\/h3>\n\n\n\n

The formula to calculate the area of a regular hexagon is: A=332\u00d7s2A = \\frac{3\\sqrt{3}}{2} \\times s^2A=233\u200b\u200b\u00d7s2<\/p>\n\n\n\n

Where:<\/p>\n\n\n\n

    \n
  • AAA is the area of the hexagon,<\/li>\n\n\n\n
  • sss is the side length of the hexagon.<\/li>\n<\/ul>\n\n\n\n

    Step 3: Substituting the Side Length<\/h3>\n\n\n\n

    Since the side length s=12s = 12s=12 units, we can substitute this value into the formula: A=332\u00d7122A = \\frac{3\\sqrt{3}}{2} \\times 12^2A=233\u200b\u200b\u00d7122 A=332\u00d7144A = \\frac{3\\sqrt{3}}{2} \\times 144A=233\u200b\u200b\u00d7144 A=43232A = \\frac{432\\sqrt{3}}{2}A=24323\u200b\u200b A=2163A = 216\\sqrt{3}A=2163\u200b<\/p>\n\n\n\n

    Step 4: Approximate Value of 3\\sqrt{3}3\u200b<\/h3>\n\n\n\n

    The approximate value of 3\\sqrt{3}3\u200b is 1.732. So: A=216\u00d71.732A = 216 \\times 1.732A=216\u00d71.732 A\u2248374.592A \\approx 374.592A\u2248374.592<\/p>\n\n\n\n

    Step 5: Rounding to the Nearest Whole Number<\/h3>\n\n\n\n

    Rounding the result to the nearest whole number: A\u2248375\u2009square unitsA \\approx 375 \\, \\text{square units}A\u2248375square units<\/p>\n\n\n\n

    Final Answer<\/h3>\n\n\n\n

    The area of the regular hexagon is approximately 375 square units<\/strong>.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    find the area of a regular hexagon with radius 12 in round to the nearest whole number The Correct Answer and Explanation is: To find the area of a regular hexagon circumscribed about a circle, you need to know the relationship between the radius of the circle and the side length of the hexagon. Step […]<\/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-269197","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269197","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=269197"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269197\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}