8. If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.

To solve this problem, we need to use the formulas for the area and the circumference of a circle.

Step 1: The formula for the area of a circle is A = πr², where A is the area and r is the radius. We know that the area is 58 square feet, so we can set up the equation 58 = πr².

Step 2: Solve for r. Divide both sides of the equation by π to get r² = 58/π. Then, take the square root of both sides to find r = √(58/π).

Step 3: Now that we have the radius, we can find the circumference. The formula for the circumference of a circle is C = 2πr. Substitute the value of r from step 2 into this formula to find the circumference.

Step 4: Calculate the value. Using a calculator, √(58/π) ≈ 4.29 feet (rounded to two decimal places). Then, 2π(4.29) ≈ 26.96 feet (rounded to two decimal places).

So, the circumference of the circle is approximately 26.96 feet. The closest answer choice is D. 26.99 ft.