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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

It doesn't have the fraction of the sector

Answer 5

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

Answer 6

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