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monitta
4 years ago
13

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area o

f grass is 16 ft.Which measurement is closest to the area in square feet that this sprinkler sprays with water?
Mathematics
1 answer:
Ksenya-84 [330]4 years ago
7 0

Answer:

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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