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

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:

$\displaystyle{ R^2= \frac{58}{\pi} \approx 58/3.14=18.47$, so $\displaystyle{ R= \sqrt{18.47} \approx 4.3$ (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)

Answer 2

Your answers is A . 26.99 FT