SAT Math Practice Question #26677 - SATify | SATify

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SAT Math Practice Question #26677 - SATify | SATify

#26677

geometry

circles

Relative Motion

medium

120 sec

Triangle $A BC$ is equilateral. Its area is $163$ . Suppose that $O$ is the center of the inscribed circle of this triangle. What is the area of the circle passing through $A$ , $O$ , and $C$ ?

A.

$\frac{32 π}{3}$

B.

$\frac{48 π}{3}$

C.

$\frac{64 π}{3}$

D.

$\frac{80 π}{3}$

E.

$\frac{96 π}{3}$