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Math Help - sector area

  1. #1
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    sector area

    Chord length c in circle radius r.
    What is area of the sector created, in terms of c and r?
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    Quote Originally Posted by Wilmer View Post
    Chord length c in circle radius r.
    What is area of the sector created, in terms of c and r?
    Hi Wilmer,

    You can use the Cosine Rule.

    The sector angle C is derived from c^2=R^2+R^2-2RRCosC

    C=Cos^{-1}\left(\frac{2R^2-c^2}{2R^2}\right)

    Then use this C for the sector area.
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    Thanks (I knew that), BUT without using trig.
    In terms of r and c ONLY.
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