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George has enough fencing to enclose 2400 square feet around a circular pool. If he builds a circular fence and he wants 12 foot walkway around the pool, what is the largest pool diameter possible?

  • math -

    Area = πr^2

    2400 = 3.14r^2

    r^2 = 764

    r = 27 2/3

    Solve for r. d = 2r therefore d =

    Assuming the walkway is completely around the pool and within the fence, largest pool diameter is d-24.

  • math -

    Area = πr^2

    2400 = 3.14r^2

    r^2 = 764

    r = 27 2/3

    Solve for r. d = 2r therefore d = 55 1/3

    Assuming the walkway is completely around the pool and within the fence, largest pool diameter is d-24.

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