Area of intersection of four circles!

Geometry Level 4

The diagram above shows a square \(ABCD\) with each side a. Four circles, each with radius a are centered at the vertices \(A, B, C,D\) of the square. If \(a=12 \text{ cm} \) then find out the shaded area (in \(\text{ cm}^2\)) of intersection of these circles. Give your answer to 3 decimal places.

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