Answer:
[tex]C=30.536\ ft[/tex]
Step-by-step explanation:
Step 1: Determine the radius
[tex]A = \pi *r^2[/tex]
[tex]74.2\ ft^2=\pi *r^2[/tex]
[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]
[tex]23.619\ ft^2=r^2[/tex]
[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]
[tex]4.8599\ ft=r[/tex]
Step 2: Determine the circumference
[tex]C=2*\pi *r[/tex]
[tex]C=2*\pi *4.8599\ ft[/tex]
[tex]C=30.536\ ft[/tex]
Answer: [tex]C=30.536\ ft[/tex]