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Oksi-84 [34.3K]
2 years ago
12

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

ormed by the watering pattern is 1 comma 962.50 square​ feet? Use 3.14 for pi??
Mathematics
1 answer:
otez555 [7]2 years ago
6 0

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step 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 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Therefore, the sprinkler can spread water 18 feet away.

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