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Math Help - Find the angle of the circle

  1. #1
    Zel
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    Exclamation Find the angle of the circle

    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
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  2. #2
    Junior Member
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    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
    Last edited by Bwts; February 5th 2010 at 07:46 AM.
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