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Moderate

# Arc Length and Area

GRE-8KREEX

Consider a circle with a radius of 3 as shown in the figure.

If the sector bounded by the arc $ABC$ has an area of $6 \pi$, what is the length of the arc $ABC$?

A

$\cfrac{\pi}{2}$

B

$\pi$

C

$2 \pi$

D

$4 \pi$

E

$6 \pi$