Question

Ashley has a sprinkler that has several varieties of coverage. The quarter circle sprinkler head sprays water a distance of up to 20 feet from the lead. What area will be covered by the spray of the quarter-circle sprinkler head to the nearest square foot?

Answer 1

314 square feet

Explanation:

we know that

The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet

so

The area of a quarter circle is

`A=(1)/(4)\pi r^(2)`

we have

`r=20\ ft`

`\pi =3.14`

substitute

`A=(1)/(4)(3.14)(20)^(2)=314\ ft^2`