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Math Help - Area of a segment of an ellipse

  1. #1
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    Area of a segment of an ellipse

    http://img253.imageshack.us/img253/8324/image002h.gif


    How to find the area of a segment of an ellipse (shaded portion) with
    respect to height?
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  2. #2
    Member rtblue's Avatar
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    The formula for the area of an entire elippse is a*b*pi

    where a and b are the lengths of the major and minor axes.

    If you can find what the fractional amount of the whole ellipse that shaded region is......

    That should be enough to get you going.
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  3. #3
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    skeeter's Avatar
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    Quote Originally Posted by josephpablo View Post
    http://img253.imageshack.us/img253/8324/image002h.gif


    How to find the area of a segment of an ellipse (shaded portion) with
    respect to height?
    I'm afraid methods of calculus will be required to find the shaded area.

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