FTC and Definite Integrals

AP Calculus AB· difficulty 3/5

The shaded region is an upper semicircle of radius 3. Its area equals:

A
$6\pi$
B
$\tfrac{9\pi}{2}$
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C
$3\pi$
D
$9\pi$

Explanation

= \tfrac12 \pi r^2 = \tfrac{9\pi}{2}

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