Final answer:
The value of r that satisfies the given area is approximately 5.08 ft, which is closest to 4 ft.
Step-by-step explanation:
The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius. In this case, the area of the circle is given as 64 ft². So we can substitute the value of A as 64 ft² in the formula to find the value of r.
64 = πr²
To solve for r, we can divide both sides of the equation by π and then take the square root of both sides.
r² = 64/π
r = √(64/π)
To simplify further, we can approximate the value of π as 3.14.
r = √(64/3.14)
r ≈ 5.08 ft
Based on the given options, the value of r that is closest to 5.08 ft is 4 ft.