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

Respuesta :

Answer:

[tex]5,890.5\ ft^{2}[/tex]

Step-by-step explanation:

step 1

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

The area of the circle is equal to

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

we have

[tex]r=25\ ft[/tex]

assume

[tex]\pi=3.1416[/tex]

substitute

[tex]A=(3.1416)(25)^{2}[/tex]

[tex]A=1,963.5\ ft^{2}[/tex]

step 2

Find the area that covers 3 sprinkler heads

[tex](3)*1,963.5=5,890.5\ ft^{2}[/tex]

Answer:

5890.5 ft²

Step-by-step explanation:

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