Question

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

Answer 1

your answers is A . 26.99 FT

Answer 2

The area of a circle is found by the formula:


`\displaystyle{ A=\pi R^2`, where r is the radius of the circle, and the circumference is found by the formula
`C=2 \pi R`.


So, we set the equation
`\displaystyle{ 58=\pi R^2`. Rearranging, we have:


`\displaystyle{ R^2= (58)/(\pi) \approx 58/3.14=18.47`, so
`\displaystyle{ R= √(18.47) \approx 4.3` (ft).


By the circumference formula,
`C=2 \pi R \approx 2\cdot3.14\cdot4.3=27` (ft0.


Answer: A.26.99 ft (There is only a small difference due to calculations with approximate values)