A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft. Which measurement is closest to the area in square feet that this sprinkler sprays with water?

The measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².

Diameter of the circular area of grass, d = 16 ft.,

The radius of the circular area of grass,  ,

Area in which the sprinkler sprays with water = Area of the circle

Hence, the measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².

Learn more about Area of Circle:

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The area the sprinkler sprays with water is 201.06 square feet.

Step-by-step explanation:

Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.

Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.

Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.

Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.

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