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

Answer:

314 square feet

Step-by-step 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

$A=\frac{1}{4}\pi r^{2}$

we have

$r=20\ ft$

$\pi =3.14$

substitute

$A=\frac{1}{4}(3.14)(20)^{2}=314\ ft^2$