Question

18.
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?
100.48 ft2
50.24 ft2
200.96 ft2
803.84 ft2
...

Answer 1

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. Since the diameter of the circular area is 16 ft, the radius would be half of that, which is 8 ft.

Plugging in the radius into the formula, we get:
A = π(8)^2
A = π(64)
A ≈ 200.96 ft^2

Therefore, the measurement closest to the area in square feet that the sprinkler sprays with water is 200.96 ft^2.