{"id":21359,"date":"2022-05-17T02:17:00","date_gmt":"2022-05-16T20:47:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21359"},"modified":"2022-11-16T17:23:32","modified_gmt":"2022-11-16T11:53:32","slug":"the-figure-above-is-constructed-by-separating-a-circular-region-into-6-equal-parts-and-rearranging-the-parts-as-shown-if-the-diameter-of-the-circle-is-d-what-is-the-perimeter-of-the-figure-above","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/the-figure-above-is-constructed-by-separating-a-circular-region-into-6-equal-parts-and-rearranging-the-parts-as-shown-if-the-diameter-of-the-circle-is-d-what-is-the-perimeter-of-the-figure-above\/","title":{"rendered":"The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?  &#8211; OGQR 2020 Question #89 with Solution"},"content":{"rendered":"<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\"> 2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"264\" height=\"99\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/89.png\" alt=\"\" class=\"wp-image-21365\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OGQR 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Problem Solving<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Circle<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Medium &#8211; Hard<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this question, we are given<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>A diagram, which is constructed by separating a circular region into 6 equal parts and rearranging them, as shown in the diagram.<\/li><li>The diameter of the circle is d.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We need to determine<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The perimeter of the figure, as shown.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">The perimeter of the given figure consists of 2 parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>6 equal length arcs, which together form the perimeter of the circle<\/li><li>2 equal line segments, each of which is equal to the radius of the circle<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The total length of the 6 arcs = the perimeter of the circle = 2\u03c0 * (d\/ 2) = \u03c0d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The total length of the 2 line segments = (d\/ 2)&nbsp;+ (d\/ 2)&nbsp;= d<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Therefore, the perimeter of the given figure = \u03c0d + d<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, the correct answer is option D.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-6a4bf9da-368b-4cfd-b9f5-153a664bac0c\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main  \" role=\"button\" style=\"--ub-button-background-color: #fcb900; --ub-button-color: #000000; --ub-button-border: none; --ub-button-hover-background-color: #cf2e2e; --ub-button-hover-color: #ffffff; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 512 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M0 256a256 256 0 1 0 512 0A256 256 0 1 0 0 256zM281 385c-9.4 9.4-24.6 9.4-33.9 0s-9.4-24.6 0-33.9l71-71L136 280c-13.3 0-24-10.7-24-24s10.7-24 24-24l182.1 0-71-71c-9.4-9.4-9.4-24.6 0-33.9s24.6-9.4 33.9 0L393 239c9.4 9.4 9.4 24.6 0 33.9L281 385z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main  \" role=\"button\" style=\"--ub-button-background-color: #0693e3; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #ff6900; --ub-button-hover-color: #000000; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 448 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M438.6 278.6c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L370.7 256 233.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0l160-160zm-352 160l160-160c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L178.7 256 41.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above? Solution Given In this question, we are given A diagram, which is constructed by separating a circular region into [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[104,44,94,60,100],"tags":[],"class_list":["post-21359","post","type-post","status-publish","format-standard","hentry","category-geometry","category-gmat-official-guide-solutions","category-gmat-prep","category-gmat-quant","category-quant-official-guide-solutions","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. If the diameter of the circle is d, what is the perimeter of the figure above? - OGQR 2020 Question #89 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/the-figure-above-is-constructed-by-separating-a-circular-region-into-6-equal-parts-and-rearranging-the-parts-as-shown-if-the-diameter-of-the-circle-is-d-what-is-the-perimeter-of-the-figure-above\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The figure above is constructed by separating a circular region into 6 equal parts and rearranging the parts as shown. 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If the diameter of the circle is d, what is the perimeter of the figure above? 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