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geometry

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A circular pool with a diameter of 32 feet is surrounded by a wood deck of uniform width.

If the area of the deck is 68π square feet, what is x, the width of the deck?

  • geometry - ,

    x = r - 16

    pi (r^2 - 16^2) = 68 pi
    so
    r^2 - 16^2 = 68
    r^2 = 324
    r = 18
    x = 18-16 = 2 feet

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