Answer:
\(191.13in^2\)
Step-by-step explanation:
Recall the equations of circumference and the area of a circle:
\(C=2\pi r\) and \(A=\pi r^2\).
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, \(15.6\pi =2\pi r\). Isolating for r we get,
\(15.6=2r\) (dividing both sides by \(\pi\) "cancels" them out)
\(7.8=r\).
Now, r can be plugged into the area formula to get the final answer!
\(A=\pi r^2=\pi (7.8)^2=191.13in^2\)
