{"id":3125,"date":"2023-03-25T12:22:18","date_gmt":"2023-03-25T16:22:18","guid":{"rendered":"https:\/\/josmfs.net\/?p=3125"},"modified":"2024-04-05T16:37:29","modified_gmt":"2024-04-05T20:37:29","slug":"moon-quarters-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/03\/25\/moon-quarters-problem\/","title":{"rendered":"Moon Quarters Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3123\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/03\/Moon-Quarters-Fig2.jpg\" alt=\"\" width=\"200\" height=\"162\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/03\/Moon-Quarters-Fig2.jpg 511w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/03\/Moon-Quarters-Fig2-300x243.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a straight-forward problem from the Scottish Mathematical Council (SMC) Senior Mathematics Challenge.<\/p>\n<p>\u201cA circle has radius 1 cm and <em>AB<\/em> is a diameter.\u00a0 Two circular arcs of equal radius are drawn with centres <em>A<\/em> and <em>B<\/em>.\u00a0 These arcs meet on the circle as shown.\u00a0 Calculate the shaded area.\u201d<\/p>\n<p>There are several possible approaches and the SMC offers two examples.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Moon-Quarters-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/03\/Moon-Quarters-Problem-220711.pdf\">Moon Quarters Problem<\/a> for solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a straight-forward problem from the Scottish Mathematical Council (SMC) Senior Mathematics Challenge. \u201cA circle has radius 1 cm and AB is a diameter.\u00a0 Two circular arcs of equal radius are drawn with centres A and B.\u00a0 These arcs meet on the circle as shown.\u00a0 Calculate the shaded area.\u201d There are several possible approaches [&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":[13,221],"class_list":["post-3125","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-smc-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3125","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=3125"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3125\/revisions"}],"predecessor-version":[{"id":3549,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3125\/revisions\/3549"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}