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Math Help - Related rates problem

  1. #1
    Member nautica17's Avatar
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    Related rates problem

    Well here is the problem I'm given.

    "A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 10 s?"

    So where do I start? Would I just use the equation for the area of a circle? I tried that and I don't quite know where to plug in the 10 sec.
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  2. #2
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    Quote Originally Posted by nautica17 View Post
    Well here is the problem I'm given.

    "A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 10 s?"

    So where do I start? Would I just use the equation for the area of a circle? I tried that and I don't quite know where to plug in the 10 sec.
    take the derivative w/r to time of the circle area equation ... then substitute in your given information to find \frac{dA}{dt}
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