Find the area.
-Find the area enclosed by the ellipse $x = 5 \cos t , y = 12 \sin t , 0 \leq t \leq 2 \pi$.
A) $25 \pi ^ { 2 } + 144 \pi$
B) $60 \pi ^ { 2 }$
C) $120 \pi$
D) $60 \pi$

Question

Quizplus · Accepted Answer

The formula for the area of an ellipse is A = $\pi$ab, where a is the semi-major axis and b is the semi-minor axis. In this case, a = 5 and b = 12, so A = $\pi$(5)(12) = 60$\pi$. Thus, the answer is D.

Find the Area x=5cos⁡t,y=12sin⁡t,0≤t≤2πx = 5 \cos t , y = 12 \sin t , 0 \leq t \leq 2 \pix=5cost,y=12sint,0≤t≤2π

Find the Area $x = 5 \cos t , y = 12 \sin t , 0 \leq t \leq 2 \pi$