Question

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?

1963.5 ft
1963.5 ft²
5890.5 ft
5890.5 ft²

Answer 1

5890.5 ft²

Explanation:

did it on edg

Answer 2

`5,890.5\ ft^(2)`

Explanation:

step 1

Find the area that cover each individual head of a sprinkler system

The area of the circle is equal to

`A=\pi r^(2)`

we have

`r=25\ ft`

assume

`\pi=3.1416`

substitute

`A=(3.1416)(25)^(2)`

`A=1,963.5\ ft^(2)`

step 2

Find the area that covers 3 sprinkler heads

`(3)*1,963.5=5,890.5\ ft^(2)`