Use a Computer Algebra System and the Result "The Area $A = \frac { 1 } { 2 } \int _ { C } r ^ { 2 } d \theta " \text { to find the area of the region }$

Multiple Choice

Use a computer algebra system and the result "The area of a plane region bounded by the simple closed path C given in polar coordinates is $A = \frac { 1 } { 2 } \int _ { C } r ^ { 2 } d \theta " \text { to find the area of the region }$ bounded by the graphs of the polar equation $r = 15 ( 1 - \cos \theta )$ .

A) $\frac { 75 \pi } { 2 }$
B) $\frac { 675 \pi } { 2 }$
C) $\frac { 1125 \pi } { 2 }$
D) $\frac { 45 \pi } { 2 }$
E) $\frac { 15 \pi } { 2 }$