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Sean has a square plot of land covered with grass. He places a sprinkler in the middle of the To water the grass. When the sprinkler is running, it sprays water over a circular region with a radius of 8 feet. The total area of grass on charge but that would not be watered is

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lucic

The total area of grass on charge but that would not be watered is: 55.04 ft²

Step-by-step explanation:

The spray water covers a radius of 8 feet, thus finding the area of the grass that will be watered is;

Area= πr²

A=3.14*8² =200.96 ft²

The diameter of the circular region that is watered represents the length of one side of the square plot land. Thus finding area of the square plot will be;

Twice the radius equals the diameter. 2r=D, 2*8=D, D=16 ft

Area of the square plot = l², where l is length of one side=16ft

Area of the square plot= l²=16²=256 ft²

Finding the area of grass on charge but not watered ;

= 256 ft²-200.96 ft²

=55.04 ft²

Learn More

Area of a circular region:https://brainly.com/question/12441291

Area of a square :https://brainly.com/question/12195531

Keywords : square, plot, sprinkler,circular, radius, charged

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