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Math·Geometry and Trigonometry·Circles

easy

The circle shown has center $O$, and points $A$ and $B$ lie on the circle. The measure of $\angle AOB$ is $90^{\circ }$, and the area of the shaded sector is $17\pi$ square units. What is the radius, in units, of the circle?

A

$\sqrt{17}$

B

$2\sqrt{17}$

C

$4\sqrt{17}$

D

$17$