Challenging Geometry Puzzle: Problem 1602. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.
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If we let the radius of circle C be r, then the radius of circle O is (3 + 2r + 11)/2 = r + 7. Let H be the intersection point of line OC and curve DF. Then, OH = OC + r = r + 7 implies that OC = 7.
ReplyDeletehttps://photos.app.goo.gl/9BjSwpPc4gnbJYAp7
ReplyDeleteNote that OC= R-r
AB=2R=3+2r+11=14+2r
so R-r= 7=OC