Question

Question Part Points Submissions Used Find the area of the region enclosed by the inner loop of the curve. r = 4 + 8sin θ

Answer 1

equal it to zero first

Answer 2

0=4+8sin(theta)

-4=8sin(theta)

-1/2=sin(theta), when is sin theta negative -1/2

Answer 3

gah i don't have my graphing calculator to check lol

Answer 4

But the question was find the area?

Answer 5

the formula for the area of "under" the curve for polar functions such as this is
\[\int\limits_{\alpha}^{\beta}\frac{1}{2}[f(\theta)]^{2}d\]