#### 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.
$800^{\circ}=800\times(\frac{\pi}{180}radians)=\frac{800\pi}{180}radians=\frac{40\pi}{9}radians$