teresaconway559 teresaconway559

13-12-2017
Mathematics

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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.

Respuesta :

sqdancefan sqdancefan

04-10-2019

Answer:

B. 26.99 ft.

Step-by-step 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

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