Question

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

Answer 1

B. 26.99 ft.

Explanation:

The formulas for circumference (C) and area (A) are ...

A = πr²

C = 2πr

Solving the area formula for r, we get ...

r = √(A/π)

Substituting this into the circumference formula gives ...

C = 2π√(A/π) = 2√(πA)

For the given circle, the numbers are ...

C = 2√(3.14×58 ft²) ≈ 26.99 ft