Answer
$64\pi \space cm^2$
Work Step by Step
The circle's circumference is $16\pi$ and the formula for the circumference is $d\pi$ or $2r\pi$.
That means the diameter of the circle is 16 and the radius is 8.
The formula for the area of a circle is $\pi r^2$, and plugging in the radius gives:
$\pi 8^2 = 64\pi$ centimeters squared