AP® Calculus AB-BC

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Moderate

A Geometric Integral

APCALC-HEKDFF

Evaluate the definite integral, $\int_{0}^{3}\sqrt{9-x^{2}}dx$.

A

$2\sqrt{3}$

B

$9\pi$

C

$\cfrac{9\pi}{2} $

D

$\cfrac{9\pi }{4}$