I am trying to find the angle that's in red in the picture in the comment.
The area of circle P = 226.98
The area of sector APB = 40.98

Question

I am trying to find the angle that's in red in the picture in the comment.
The area of circle P = 226.98
The area of sector APB = 40.98

kitkats · Answer

attachment

loser66 · Answer

oh, I thought you throw the problem here to get the free answer so that I deleted my comment. Sorry.
Just subtract them.

kitkats · Answer

I'm trying to find the angle, not the area

jim_thompson5910 · Answer

what is the fraction that the sector takes up in terms of the entire circle?

kitkats · Answer

It doesn't have the fraction of the sector

jim_thompson5910 · Answer

(area of sector)/(area of entire circle) = ???

loser66 · Answer

Big area + small area = area of the whole circle = $r^2*\pi$, where r is radius of the circle. 
Hence $r^2={(226.98+40.98)/\pi}$ . You calculate it.
Apply formula of area of a circle segment:
$area = \pi r^2*\dfrac{angle}{360}$ to find the angle