Interesting Problem (1)

Geometry Level 3

A C ^ \widehat{AC} and B C ^ \widehat{BC} are arcs with centers B B and A A respectively. The circle in the figure passes through the midpoint of A B AB and touches both the arcs. If A B = 12 AB=12 , find the radius of the circle.


The answer is 4.5.

Barry Leung by Barry Leung , 17, Hong Kong

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1 solution

Barry Leung
Mar 10, 2020

11 Helpful 2 Interesting 3 Brilliant 1 Confused

I don't get why BD goes through center O?

Coco L - 1 year, 2 months ago

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Because if two circles are tangent, the centres and the point of tangency are aligned.

Jacopo Piccione - 1 year, 2 months ago

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