Question

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 017.36 square​ feet? Use 3.14 for pi.

Answer 1

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.

Answer 2

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`

where r is the radius of the circle.

Putting values, we get,

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

Thus, the sprinkler can spread water 18 feet away.