# SAT® Math

Free Version
Difficult

SATMAT-MKXUI1

A diameter of circle $A$ is $12$ cm. If the measure of $\angle BAC$ is ${ 120 }^{ \circ }$, as is shown in the diagram above, then what is the area of the shaded segment of circle $A$ ?

A

$6\pi -9\sqrt { 3 }$

B

$12\pi -9\sqrt { 3 }$

C

$12\pi -4.5\sqrt { 3 }$

D

$12\pi -18\sqrt { 3 }$