Problem: In the square ABCD, the four un-shaded parts are quarter circles each having the same radius. If the side of the square is 16. What is the area of the shaped part? Express the answer in terms of π?
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Correct Answer: 256-64π
Explanation:
Side of the square ABCD = 16
% of the square ABCD =$\frac{16}{2}$ = 8
Radius of each circle = 8
Area of the shaded part = 16² — 4 x π 8² x$\frac{1}{4}$= 256 — 64π