{"id":2393,"date":"2021-09-25T08:36:56","date_gmt":"2021-09-25T12:36:56","guid":{"rendered":"https:\/\/josmfs.net\/?p=2393"},"modified":"2024-04-07T14:27:22","modified_gmt":"2024-04-07T18:27:22","slug":"two-curious-semicircles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/09\/25\/two-curious-semicircles\/","title":{"rendered":"Two Curious Semicircles"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2391\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/09\/Two-Curious-Semicircles-fig2.jpg\" alt=\"\" width=\"200\" height=\"200\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/09\/Two-Curious-Semicircles-fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/09\/Two-Curious-Semicircles-fig2-300x300.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/09\/Two-Curious-Semicircles-fig2-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a nice brain tickling problem from <a href=\"https:\/\/mindyourdecisions.com\/blog\/2021\/02\/02\/a-curious-fact-about-two-semicircles\/\">Presh Talwalkar<\/a>.<\/p>\n<p>\u201cA circle contains two tangent semicircles whose diameters are parallel chords. If the circle has an area equal to 1, what is the combined area of the two semicircles?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Two-Curious-Semicircles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/09\/Two-Curious-Semicircles-210204.pdf\">Two Curious Semicircles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a nice brain tickling problem from Presh Talwalkar. \u201cA circle contains two tangent semicircles whose diameters are parallel chords. If the circle has an area equal to 1, what is the combined area of the two semicircles?\u201d Answer. See the Two Curious Semicircles for solutions.<\/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-2393","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\/2393","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=2393"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2393\/revisions"}],"predecessor-version":[{"id":3664,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2393\/revisions\/3664"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2393"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2393"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2393"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}