The Area of the Region Inside $r = 2 ( 1 + \cos \theta )$

Multiple Choice

The area of the region inside $r = 2 ( 1 + \cos \theta )$ and outside r = 2 is

A) $8 + \frac { \pi } { 2 }$
B) $8 - \frac { \pi } { 2 }$
C) $8 + \pi$
D) $8 - \pi$
E) $\frac { 8 + \pi } { 2 }$