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In the figure below, there is a semicircle with radius 2 and two identical semicircles within it, each with radius 1. The smaller semicircles are externally tangent to each other and share the edge with the larger semicircle. There is also a circle tangent to all three semicircles (internally tangent to the large semicircle, and externally tangent to the smaller semicircles).

 

 Jul 19, 2020
 #1
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And the question is ...

 Jul 19, 2020
 #2
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I guess it's r =? cheeky

 

(1 + r)2 = (2 - r)2 + 12  laugh

Dragan  Jul 20, 2020
edited by Guest  Jul 20, 2020
edited by Guest  Jul 20, 2020

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