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Math·Geometry and Trigonometry·Circles

hard

A circle is inscribed in a square so that the circle is tangent to all four sides of the square. The length of the diagonal of the square is 228 units. What is the area, in square units, of the circle?

A

$6,498\pi$

B

$12,996\pi$

C

$25,992\pi$

D

$51,984\pi$