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I have 3 unit circles. Two of them are externally tangent to each other. The third one passes through tangent point...

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I have 3 unit circles. Two of them are externally tangent to each other. The third one passes through the tangent point, cutting two symmetrical areas from those two circles, as shown in the diagram. What is the shaded area?

enter image description here

posted Jan 17, 2018 by anonymous

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1 Answer

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enter image description here
The area of the shape is equal to the area of a square inscribed in a unit circle, that is a square with side √2 and area 2.

answer Feb 3, 2018 by Yasin Hossain Siinan



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