A lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet. Which choice is the closest to the area of lawn that the sprinkler can cover?
A. 13 square feet
B. 25 square feet
C. 50 square feet
D. 200 square feet
B. 25 square feet
To find the area of the lawn that the sprinkler can cover, we will first calculate the area of the circle with a radius of 4 feet.
A = πr^2
A = π(4)^2
A = 16π
Using an approximation of π as 3.14, the area is approximately:
A ≈ 16(3.14) ≈ 50.24 square feet
Since 50 is the closest option, the closest choice to the area of lawn that the sprinkler can cover is 50 square feet.