If the circumference of a circular rug is 16π feet, then what is the area of the rug in terms of pi

If the circumference of a circular rug is 16π feet, then what is the area of the rug in terms of pi

C = 2pir, so we have:
C = 16π
16π = 2πr

Divide each side by 2π:
r = 16π/2π
r = 8

Now, the area of a circle A is denoted below:
A = πr^2

Given r = 8 from above, we have:
A = π(8)^2
A = 64π