Answer
$4\pi$ centimeters
Work Step by Step
We use the formula $s=θr$
$θ$ must be in radians. It is given in degrees. We convert from radians to degrees: $72°\times\frac{\pi}{180}=\frac{2\pi}{5}$.
Plug in the given values and simplify: $s=\frac{2\pi}{5}(10)=4\pi$ centimeters.