{"id":4394,"date":"2025-05-17T08:23:44","date_gmt":"2025-05-17T12:23:44","guid":{"rendered":"https:\/\/josmfs.net\/?p=4394"},"modified":"2025-05-17T08:23:44","modified_gmt":"2025-05-17T12:23:44","slug":"two-squares-in-a-circle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/05\/17\/two-squares-in-a-circle\/","title":{"rendered":"Two Squares in a Circle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4391\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/05\/Two-Squares-in-Circle-Fig2.jpg\" alt=\"\" width=\"200\" height=\"204\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/05\/Two-Squares-in-Circle-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/05\/Two-Squares-in-Circle-Fig2-294x300.jpg 294w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This <a href=\"https:\/\/mindyourdecisions.com\/blog\/2025\/04\/25\/7-puzzles-that-will-test-your-skills\/\">puzzle<\/a>, from another set of seven challenges assembled by Presh Talwalkar, turned out to be very challenging for me.<\/p>\n<p>\u201cThis is a fun problem I saw on Reddit AskMath. A circle contains two squares with sides of 4 and 2 cm that overlap at one point, as shown. What is the area of the circle?\u201d<\/p>\n<p>This took me quite a while to figure out, but I relied on another problem I had posted earlier.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/05\/Two-Squares-in-Circle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/05\/Two-Squares-in-Circle-250514.pdf\">Two Squares in a Circle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This puzzle, from another set of seven challenges assembled by Presh Talwalkar, turned out to be very challenging for me. \u201cThis is a fun problem I saw on Reddit AskMath. A circle contains two squares with sides of 4 and 2 cm that overlap at one point, as shown. What is the area of the [&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":[13,17],"class_list":["post-4394","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4394","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=4394"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4394\/revisions"}],"predecessor-version":[{"id":4395,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4394\/revisions\/4395"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}