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Math Help - area of a sector

  1. #1
    Junior Member
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    area of a sector

    The area of a sector in a circle of radius 6 inches is 48 square inches. Find the measure of the central angle to the nearest tenth of a degree.

    A= 1/2 thata r^2


    so then I say

    48=1/2 thata 6^2

    48=1/2 thata 36
    48=18 thata

    48/18 = thata


    the answer is suppose to be 152.8 I cannot get this answer I think that I need a pi symbol so that i can turn radians into degrees cuz thata needs to be in terms of radians. Please help I am stuck.
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  2. #2
    MHF Contributor
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    Your answer is correct in radians. To convert to degrees, multiply by \frac{180}{\pi}. Also, it's spelled "theta."
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  3. #3
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    Quote Originally Posted by icemanfan View Post
    Your answer is correct in radians. To convert to degrees, multiply by \frac{180}{\pi}. Also, it's spelled "theta."
    Thanks I really thought that I had tried thank you for the help.
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