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) $A = 18 \pi + \frac { 81 } { 2 }$

Question

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) $A = 18 \pi + \frac { 81 } { 2 }$

Quizplus · Accepted Answer

The Answer of 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) $A = 18 \pi + \frac { 81 } { 2 }$

The Graph of the Following Curve Is Given r=3+15sin⁡6θr = 3 + 15 \sin 6 \thetar=3+15sin6θ

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