Respuesta :
The area covered by all the sprinkler heads together is approximately 169.64 ft2.
We have given
6 sprinklers are shown on gridlines.
Each sprinkler has a diameter of 6 feet.
The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.
One sprinkler has a diameter of 6 feet.
So the radius is 3.
The area for one sprinkler is given by,
What is the formula for the area of the circle?
[tex]A=\pi r^{2}[/tex]
[tex]A=3.14\times 3^2\\A=28.26[/tex]
So the area covered by one sprinkler is 28.26 feet ^2.
For six sprinkler is given by
[tex]=6\times 28.26[/tex]
=169.64 ft^2
The answer is B.
The area covered by all the sprinkler heads together is approximately 169.64 ft2.
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