Regions defined by polar equations

[kareemy]

Find the area of the region inside spiral r=4? and outside the circle r=2sin?.

any help with this question would be greatly appreciated, i have no idea how to even begin to approach it

 

[galactus]

Graphing always helps. Find the area from 0 to pi/2 and double it.

$\displaystyle \int_{0}^{\frac{\pi}{2}}\left[(4t)^{2}-(2sin(t))^{2}\right]dt$