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?

Question

Bennett Ward

Mathematics

25 December, 08:18

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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Answers (2)

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Ximena Atkins · Answer 1

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

Eden Kennedy · Answer 2

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