Question

A lawn sprinkler watered a circular area of 1,256 ft². What is the radius of the sprinkler to the nearest foot?

a) 20 ft
b) 25 ft
c) 30 ft
d) 35 ft

Answer 1

The radius of a sprinkler watering a circular area of 1,256 ft² to the nearest foot is 20 ft, which is determined by rearranging the area formula for a circle and solving for the radius.

Step-by-step explanation:

The student is asking how to find the radius of a circle given its area. To solve this, we use the formula for the area of a circle, A = πr2, where A is the area and r is the radius. Substituting the given area of 1,256 ft² into the formula, we get:

1,256 ft² = πr2

We then solve for r, the radius:

r2 = 1,256 ft² / π

r = √ (1,256 ft² / π)

Using a calculator, we find that:

r ≈ 20 ft20 ft

Therefore, the radius of the circular area watered by the sprinkler to the nearest foot is 20 ft.

Options:

1. 20 ft
2. 25 ft
3. 30 ft
4. 35 ft