Find the Area of the Common Interior of the Polar $r = 4 ( 1 + \sin \theta )$

Multiple Choice

Find the area of the common interior of the polar equations $r = 4 ( 1 + \sin \theta )$ and $r = 4 ( 1 - \sin \theta )$ by sketching the graph of the equations using the graphing utility.

A) $16 ( 3 \pi + 8 )$
B) $8 ( 3 \pi - 8 )$
C) $8 ( 3 \pi - 4 )$
D) $8 ( \pi - 4 )$
E) $16 ( 3 \pi - 8 )$