Answer:
[tex]191.13in^2[/tex]
Step-by-step explanation:
Recall the equations of circumference and the area of a circle:
[tex]C=2\pi r[/tex] and [tex]A=\pi r^2[/tex].
From this, we see that both equations have the radius in them, meaning that r must be found to find the area!
The circumference, C, is given, [tex]15.6\pi =2\pi r[/tex]. Isolating for r we get,
[tex]15.6=2r[/tex] (dividing both sides by [tex]\pi[/tex] "cancels" them out)
[tex]7.8=r[/tex].
Now, r can be plugged into the area formula to get the final answer!
[tex]A=\pi r^2=\pi (7.8)^2=191.13in^2[/tex]