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GMAT Problem Solving (PS) | Circle is inscribed in the square as shown in figure

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PareshGmat wrote:

Circle is inscribed in the square as shown in figure below (Not to scale).

If area of the shaded region is 2, then radius of the circle would be

A:\frac{4}{4-\pi}

B:\frac{4}{\sqrt{8-\pi}}

C:\frac{16}{4-\pi}

D:\frac{4}{\sqrt{4-\pi}}

E:\frac{\sqrt{4+\pi}}{2}

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