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15 November, 16:13

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered?

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  1. 15 November, 19:03
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    1) A = π*r^2 = π * (25 ft) ^2 = 625π ft^2

    2) 3A = 3*625π ft^2 = 1875π ft^2

    3) ≈ 5890 ft^2
  2. 15 November, 19:53
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    The area of one watered circle will be

    ... A = π*r^2 = π * (25 ft) ^2 = 625π ft^2

    The area of 3 such circles will be

    ... 3A = 3*625π ft^2 = 1875π ft^2

    ... ≈ 5890 ft^2
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