{"id":1320,"date":"2019-11-05T07:52:54","date_gmt":"2019-11-05T12:52:54","guid":{"rendered":"http:\/\/josmfs.net\/?p=1320"},"modified":"2024-04-10T13:39:02","modified_gmt":"2024-04-10T17:39:02","slug":"circle-tangent-chord-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/11\/05\/circle-tangent-chord-problem\/","title":{"rendered":"Circle Tangent Chord Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1318\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/11\/Circle-Tangent-Chord-Prob-Fig2.jpg\" alt=\"\" width=\"200\" height=\"188\" \/>This is another problem from the Math Challenges section of the 2000 <em>Pi in the Sky<\/em> Canadian math magazine for high school students.<\/p>\n<p>\u201c<strong>Problem 4.<\/strong> From a point P on the circumference of a circle, a distance PT of 10 meters is laid out along the tangent. The shortest distance from T to the circle is 5 meters. A straight line is drawn through T cutting the circle at X and Y. The length of TX is 15\/2 meters.<\/p>\n<p style=\"padding-left: 240px;\">(a) Determine the radius of the circle,<br \/>\n(b) Determine the length of XY.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Circle-Tangent-Chord-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/11\/Circle-Tangent-Chord-Prob-191020.pdf\">Circle Tangent Chord Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another problem from the Math Challenges section of the 2000 Pi in the Sky Canadian math magazine for high school students. \u201cProblem 4. From a point P on the circumference of a circle, a distance PT of 10 meters is laid out along the tangent. The shortest distance from T to the circle [&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":[162,13],"class_list":["post-1320","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-pi-in-the-sky","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1320","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=1320"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1320\/revisions"}],"predecessor-version":[{"id":3794,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1320\/revisions\/3794"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}