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A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1 comma 519.76 square​ feet? Use 3.14 for pi.

User Seekeer
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1 Answer

5 votes

Answer:

The sprinkler can spread water 18 feet away.

Explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =
A = \pi r^2

Putting values, we get:


1017.36 = 3.14 r^2\\\\r^2 = (1017.36)/(3.14)\\\\r^2 = 324\\r = √(324) = 18\text{ feet}

Therefore, the sprinkler can spread water 18 feet away.

User Ozirus
by
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