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Math Help - Area Between Polar Curves

  1. #1
    Member CalcGeek31's Avatar
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    Area Between Polar Curves

    theta = x
    Find the area between the polar curves : r= 2-2cos(x) and r = -2.75cos(x)

    i know the formula is

    .5* Int( r1^2- r2^2, x, ?, ?)


    I just dont know what the bounds are. since the graph seems to touch at only one point.

    Help is appreciated.
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  2. #2
    MHF Contributor
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    You can find the bounds like you do for integrals in Cartesian coordinates. Set the two expressions equal to each other.
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  3. #3
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    It is the region between a circle and a cardioid. The following figure might help.
    Attached Thumbnails Attached Thumbnails Area Between Polar Curves-dsad.gif  
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