The Graph of the Following Curve Is Given $$r = 3 + 15 \sin 6 \theta$$

Multiple Choice

The graph of the following curve is given. Find the area that it encloses.
$$r = 3 + 15 \sin 6 \theta$$

A)
$A = \frac { 27 \sqrt { 5 } } { 2 }$
B) $A = \frac { 81 } { 2 } \pi$
C) $A = 18 \pi$
D)
$A = \pi + \frac { 27 \sqrt { 5 } } { 2 }$
E)
$A = 18 \pi + \frac { 81 } { 2 }$