{"id":21385,"date":"2019-05-21T03:19:31","date_gmt":"2019-05-20T21:49:31","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21385"},"modified":"2021-07-19T14:59:34","modified_gmt":"2021-07-19T09:29:34","slug":"the-figure-above-shows-a-drop-leaf-table-with-all-four-leaves-down-the-tabletop-is-a-square-and-with-all-four-leaves-up-the-tabletop-is-a-circle-what-is-the-radius-in-meters-of-the-tabletop-when","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/the-figure-above-shows-a-drop-leaf-table-with-all-four-leaves-down-the-tabletop-is-a-square-and-with-all-four-leaves-up-the-tabletop-is-a-circle-what-is-the-radius-in-meters-of-the-tabletop-when\/","title":{"rendered":"The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up? &#8211; OGQR 2020 Question #99 with Solution"},"content":{"rendered":"<span class=\"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<h2 id=\"h-ogqr-2020-question-no-99\">OGQR 2020: Question No. 99<\/h2>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"216\" height=\"183\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/99.png\" alt=\"\" class=\"wp-image-21391\"\/><\/figure><\/div>\n\n\n\n<p>The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OGQR 2020<\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Circle \/ Square<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium &#8211; Hard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>The figure of a drop-leaf table.<\/li><li>With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle.<\/li><\/ul>\n\n\n\n<h4 id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The radius, in meters, of the tabletop when all four leaves are up.<\/li><\/ul>\n\n\n\n<h4 id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p>When all four leaves are up, the table will look like the following:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"138\" height=\"128\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/99.2.png\" alt=\"\" class=\"wp-image-21392\"\/><\/figure><\/div>\n\n\n\n<p>In this case, the diameter of the circle is equal to the diagonal of the table.<\/p>\n\n\n\n<ul><li>As the square table has a side length of 1m, its diagonal will be \u221a2 m.<\/li><li>Hence, diameter of the circular table = \u221a2 m.<\/li><li>Therefore, radius of the table = \u221a2 \/ 2 m<\/li><\/ul>\n\n\n\n<p>Hence, the correct answer is option B.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Kickstart your GMAT Prep with our free trial. We are the <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">most reviewed online GMAT Prep company<\/a> with 2100+ reviews on GMATClub as of July 2021.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-d6b428f4-0c0e-417c-a767-464201b20159\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/e-gmat.com\/ft-gmat-prep\/?channel=blogsin_article&#038;utm_source=blogs&#038;utm_medium=in_article&#038;utm_campaign=free_trial&#038;utm_term=blogs_in_article\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free GMAT resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/e-gmat.com\/sigma-x\/?channel=blogsin_article&#038;utm_source=blogs&#038;utm_medium=in_article&#038;utm_campaign=free_trial&#038;utm_term=blogs_in_article\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OGQR 2020: Question No. 99 The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up? Source OGQR 2020 Type Problem Solving Topic [&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":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"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 Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up? - OGQR 2020 Question #99 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-shows-a-drop-leaf-table-with-all-four-leaves-down-the-tabletop-is-a-square-and-with-all-four-leaves-up-the-tabletop-is-a-circle-what-is-the-radius-in-meters-of-the-tabletop-when\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. 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