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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?

Respuesta :

calculista

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

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=20\ ft[/tex]

[tex]\pi =3.14[/tex]

substitute

[tex]A=\frac{1}{4}(3.14)(20)^{2}=314\ ft^2[/tex]

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