Find the Area of the Inner Loop Of $r = 3 + 6 \sin \theta$

Multiple Choice

Find the area of the inner loop of $r = 3 + 6 \sin \theta$

A)
$27 \pi + \frac { 27 \sqrt { 2 } } { 2 }$
B)
$9 \pi - \frac { 27 \sqrt { 3 } } { 4 }$
C)
$27 \pi - \frac { 27 \sqrt { 3 } } { 4 }$
D)
$9 \pi - \frac { 27 \sqrt { 3 } } { 2 }$
E)
$9 \pi + \frac { 27 \sqrt { 2 } } { 2 }$