Answer
$\frac{40\pi}{9}radians$
Work Step by Step
In order to convert degree measures to radians, we must multiply the given degree measure by $\frac{\pi}{180}$ and simplify.
$800^{\circ}=800\times(\frac{\pi}{180}radians)=\frac{800\pi}{180}radians=\frac{40\pi}{9}radians$