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Thread: Length of a Plane Curve

  1. December 11th 2009, 01:53 PM #1
    jsl
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    Length of a Plane Curve

    I'm stuck on this. Any help you can give would be great!

    If is given by: and is given by:
    Find the total length of the astroid described by and .
    (The astroid is the curve swept out by as ranges from to )
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  2. December 11th 2009, 02:28 PM #2
    Scott H
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    The formula for arc length can be remembered as

    \int_a^b\sqrt{dx^2+dy^2}=\int_a^b\sqrt{\left(\frac {dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,d t.
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