Question

6) 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 18 ft.
Which measurement is closest to the area
in square feet that this sprinkler sprays with water?
A 28.26 ft²
B 254.34 ft²
C 1,017.36 ft²
D 56.52 ft²

Answer 1

B

Explanation:

The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle.

In this case, the diameter of the circular area of grass is 18 ft, so the radius (half the diameter) is 9 ft.

So, the area of the circular area that the sprinkler sprays with water is:

A = π * (9 ft)^2 = 81π ft^2

81π is approximately 251.3, so the closest measurement to the area in square feet that this sprinkler sprays with water is B 254.34 ft².