{"id":1588,"date":"2020-04-25T18:24:48","date_gmt":"2020-04-25T22:24:48","guid":{"rendered":"http:\/\/josmfs.net\/?p=1588"},"modified":"2024-04-08T19:29:46","modified_gmt":"2024-04-08T23:29:46","slug":"quad-in-circle-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/04\/25\/quad-in-circle-problem\/","title":{"rendered":"Quad in Circle Problem"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"alignleft\"><img loading=\"lazy\" decoding=\"async\" width=\"202\" height=\"202\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Quad-in-Circle-Prob-Fig.jpg\" alt=\"\" class=\"wp-image-1583\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Quad-in-Circle-Prob-Fig.jpg 202w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Quad-in-Circle-Prob-Fig-150x150.jpg 150w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/><\/figure>\n<\/div>\n\n\n<p>Here is another Brain Bogglers problem from 1987 by Michael Stueben.<\/p>\n\n\n\n<p>\u201cA quadrilateral with sides three, two, and four units in length is inscribed in a circle of diameter five.&nbsp; What\u2019s the length of the fourth side of the quadrilateral?\u201d<\/p>\n\n\n\n<p>Like a number of other Brain Bogglers this problem also uses an insight that makes the solution easy.\u00a0<\/p>\n\n\n\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Quad-in-Circle-Answer.jpg\">Answer<\/a>.<\/p>\n\n\n\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/04\/Quad-in-Circle-Problem-191012.pdf\">Quad in Circle Problem<\/a> for a solution.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another Brain Bogglers problem from 1987 by Michael Stueben. \u201cA quadrilateral with sides three, two, and four units in length is inscribed in a circle of diameter five.&nbsp; What\u2019s the length of the fourth side of the quadrilateral?\u201d Like a number of other Brain Bogglers this problem also uses an insight that makes [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[163,13],"class_list":["post-1588","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-brain-bogglers","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1588","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1588"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1588\/revisions"}],"predecessor-version":[{"id":3761,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1588\/revisions\/3761"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}