Find the angle of the circle

**Zel** · February 4th 2010, 09:20 PM

Find theta to 2 decimal places give that AB divides the circle's area in the ratio 5:2
http://i371.photobucket.com/albums/o...hsquestion.jpg
I have spend many hours trying to figure this out, but I have been using the AB line segment, instead of the sector of the circle. Is this correct?
I would appreciate any help given
Thanks in advance

**Bwts** · February 5th 2010, 02:07 AM

Hi

First find the area of the segment then subtract the area of the triangle OAB.

You are given this area $\frac{2}{7}\pi r^2$

You will end up with an equation where $r^2$ drops out and you will be left only with unknown terms for $\theta$

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