If a Is the Area of the Intersection of the Regions

Multiple Choice

If A is the area of the intersection of the regions enclosed by the graphs of $r = 2$ and $r = 3 - 2 \cos \theta,$ then A is

A) $\frac { 38 \pi - 33 \sqrt { 3 } } { 15 }$
B) $\frac { 38 \pi - 33 \sqrt { 3 } } { 12 }$
C) $\frac { 38 \pi - 33 \sqrt { 3 } } { 8 }$
D) $\frac { 38 \pi - 33 \sqrt { 3 } } { 6 }$
E) $\frac { 38 \pi - 33 \sqrt { 3 } } { 4 }$