Find the Area of the Region Bounded by the Curve $x = 4 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$

Multiple Choice

Find the area of the region bounded by the curve $x = 4 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$ , and the x-axis.

A) $\pi$
B) $6 \pi ^ { 2 }$
C) $3 \pi$
D) $6 \pi$
E) $\pi ^ { 2 }$
F) $12 \pi ^ { 2 }$
G) $3 \pi ^ { 2 }$
H) $12 \pi$