If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
Accepted Solution
A:
Answer: OPTION D.Step-by-step explanation: The formula for calculate the circumference of a circle is: [tex]C=2r\pi[/tex] Where r is the radius. The formula for calculate the area of a circle is: [tex]A=r^2\pi[/tex] Where r is the radius. Solve for r from [tex]A=r^2\pi[/tex] to calculate it: [tex]r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft[/tex] Subsitute the radius into [tex]C=2r\pi[/tex]. Then: [tex]C=(2)(4.296ft)\pi=26.99ft[/tex]