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Math·Geometry and Trigonometry·Circles

hard

A rectangle is inscribed in a circle such that the length of the diagonal of the rectangle is twice the length of its shortest side. The circumference of the circle is $114\pi$ units. What is the area, in square units, of the rectangle?

A

$57\sqrt{2}$

B

$57\sqrt{3}$

C

$3,249\sqrt{2}$

D

$3,249\sqrt{3}$