An artist is paiting a white circular region on the top surface of a square blue tile that measures 8 inches on a side.

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GMAT Prep

An artist is painting a circular region on the top surface of a square blue tile that measures 8 inches on a side. If the circle is inscribed in the square, what fraction of the top surface of the tile will be blue?

A. \(\dfrac{1}{4}\)

B. \(\dfrac{1}{2}\)

C. \(\dfrac{\pi}{4}\)

D. \(\dfrac{(4-\pi)}{\pi}\)

E. \(\dfrac{(4-\pi)}{4}\)

OA E