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Math Help - Maximize the area of this slice.

  1. #1
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    Maximize the area of this slice.

    A circle of radius r, you want to carve out a slice from the middle (like cutting a piece of pie) that makes 0 < θ < 2pi, and has perimeter P. Maximize the are of this slice.

    Can some one help solve this one!
    Last edited by mathman66; March 25th 2007 at 07:39 PM. Reason: :0
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  2. #2
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    Hello, mathman66!

    Are you sure of the wording of this problem?


    A circle of radius r, you want to cut out a slice from the middle
    (like cutting a piece of pie) that makes 0 < θ < 2π, and has perimeter P.
    Maximize the area of this slice.

    If the radius r is given and the perimeter P is given,
    . . the area of the sector is determined; it is a constant.

    In fact: .A .= .r(P - 2r)

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