Inspired by Li Hang

Geometry Level 5

There are 1 circle and 2 semicircles inscribed in a square with side length 2. If the radius of the smaller semicircle is r r , find r r .


The answer is 0.18767.

Dexter Woo Teng Koon by Dexter Woo Teng Koon , 20, Malaysia

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3 solutions

Ahmad Saad
May 28, 2016

18 Helpful 0 Interesting 0 Brilliant 0 Confused

Did the same way , only the places of semicircles with radii R and r where interchanged as per given problem..

Niranjan Khanderia - 5 years ago

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Interchanging of two semicircles didn't affected the problem statement or result.

Ahmad Saad - 5 years ago

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I never meant that. I only wanted to say what I did.

Niranjan Khanderia - 5 years ago
Nibedan Mukherjee
Jun 22, 2016

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Sarono Handoyo
May 29, 2016

I drew with scale, first semicircle has diameter 0.5 and second semicircle has diameter about 3/4 of first semicircle :) so 3/4 * 0.5 = 0.375 and the radius will be half of diameter = 1.88

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