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

Question

4 years ago

13

ormed by the watering pattern is 1 comma 017.36 square feet? Use 3.14 for pi.

2 answers:

nlexa [21] · Answer 1 · 2021-12-15T15:59:31+03:00

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.

myrzilka [38] · Answer 2 · 2021-12-15T13:33:50+03:00

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 =

$A = \pi r^2$

where r is the radius of the circle.

Putting values, we get,

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Thus, the sprinkler can spread water 18 feet away.