Closed Zone

Geometry Level 2

The figure above shows two circles , each with radius 12, goes through each others centers. What is the area of the blue region?

Give your answer to the nearest integer.


The answer is 133.

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A P by A P , 26, USA

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2 solutions

This is the copy of solution I had given for the same problem some time back.

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Atomsky Jahid
Jun 2, 2016

I created a square using the tangent lines. Symmetry tells us that one side of this square would be [12 + 6sqrt(2)]. And then subtracted the unneceassary area of that square from the total area to get the required result (132.797) which is then rounded to 133.

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