teresaconway559
teresaconway559 teresaconway559
  • 13-12-2017
  • Mathematics
contestada

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.

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sqdancefan
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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