{"id":203,"date":"2019-12-26T13:09:38","date_gmt":"2019-12-26T13:09:38","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=203"},"modified":"2020-10-12T21:46:02","modified_gmt":"2020-10-12T21:46:02","slug":"mathcounts-exercises-4","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=203","title":{"rendered":"MATHCOUNTS Exercises &#8211; 4"},"content":{"rendered":"\n<p><strong>MATHCOUNTS 2016-2017 \u2013 240<\/strong> Circle $P$ is internally tangent to circle $O$ at $A$, as shown. $\\overline{AC}$ and $\\overline{BE}$ intersect at $F$, which is also the point of tangency between $\\overline{BE}$ and circle $P$. $\\overline{AD}$ and $\\overline{BE}$ are diameters of circle $O$, and $AG$ is a diameter of circle $P$. If $m\\overparen{CD} = 50^\\circ$, what is the measure\nof minor $\\overparen{BC}$ ? <a href=\"javascript:toggle_visibility('sol-mathcounts-exercises-1');toggle_visibility('img-mathcounts-exercises-1');\">Click here for the hint<\/a><\/p>\n<div id=\"img-mathcounts-exercises-1\" style=\"display:block\">\n<img width=\"238\" src=\"wp-content\/uploads\/2020\/10\/Screen-Shot-2019-12-22-at-10.07.18-PM.png\" alt=\"\" class=\"aligncenter wp-image-205\">\n<\/div>\n<div id=\"sol-mathcounts-exercises-1\" style=\"display:none\">\n<img width=\"238\" src=\"wp-content\/uploads\/2020\/10\/Screen-Shot-2019-12-23-at-10.19.41-AM.png\" alt=\"\" class=\"aligncenter wp-image-205\">\n<p><strong>Hint<\/strong> Draw line $\\overline{OC}$ and $\\overline{PF}$\n<\/p>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>MATHCOUNTS 2016-2017 \u2013 240 Circle $P$ is internally tangent to circle $O$ at $A$, as shown. $\\overline{AC}$ and $\\overline{BE}$ intersect at $F$, which is also the point of tangency between $\\overline{BE}$ and circle $P$. $\\overline{AD}$ and $\\overline{BE}$ are diameters of &hellip; <a href=\"https:\/\/mathfun4kids.com\/mlog\/?p=203\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[9,11],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/203"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=203"}],"version-history":[{"count":8,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/203\/revisions"}],"predecessor-version":[{"id":218,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/203\/revisions\/218"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}