{"id":2998,"date":"2022-12-24T09:23:45","date_gmt":"2022-12-24T14:23:45","guid":{"rendered":"https:\/\/josmfs.net\/?p=2998"},"modified":"2024-04-06T09:29:14","modified_gmt":"2024-04-06T13:29:14","slug":"spiral-areas-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/12\/24\/spiral-areas-puzzle\/","title":{"rendered":"Spiral Areas Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2996\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/12\/Spiral-Areas-Fig2.jpg\" alt=\"\" width=\"250\" height=\"179\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/12\/Spiral-Areas-Fig2.jpg 504w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/12\/Spiral-Areas-Fig2-300x215.jpg 300w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/>This is a provocative puzzle from the Maths Masters team, Burkard Polster (aka Mathologer) and Marty Ross as part of their \u201cSummer Quizzes\u201d offerings for 2013.<\/p>\n<p>\u201cIn the picture the top curve is a semicircle and the bottom curve is a quarter circle. Which has greater area, the red square or the blue rectangle?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Spiral-Areas-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/12\/Spiral-Areas-Puzzle-220131.pdf\">Spiral Areas Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a provocative puzzle from the Maths Masters team, Burkard Polster (aka Mathologer) and Marty Ross as part of their \u201cSummer Quizzes\u201d offerings for 2013. \u201cIn the picture the top curve is a semicircle and the bottom curve is a quarter circle. Which has greater area, the red square or the blue rectangle?\u201d Answer. [&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":[227,13],"class_list":["post-2998","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-mathologer","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2998","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=2998"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2998\/revisions"}],"predecessor-version":[{"id":3575,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2998\/revisions\/3575"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}