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?

Answer will be 5890 square feet.

Step-by-step explanation:

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet.

Therefore area of the grass covered will be A = πr²

Here r = 25 feet

A = π×(25)² = 625π feet²

Since yard has 3 sprinklers so total area of the grass covered will be = 3A

Now 3A = 3×π×625 feet²= 3×3.14×625 = 5887.5 ≈ 5890 square feet.

Total area watered will be 5890 square feet.

Approximate Total area that will be watered is 5887.5 feet²

Step-by-step explanation:

Radius of the Circular area that sprinkler cover , r = 25 feet

Number of sprinkler = 3

Area covered by 1 sprinkler = Area of circle

                                          = πr²

                                          = 3.14 × (25)²

                                          = 3.14 × 625

                                          = 1962.5 feet²

Area covered by 3 sprinkler = 3 × 1962.5 = 5887.5 feet²

Therefore, Approximate Total area that will be watered is 5887.5 feet²

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4400

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