Answer
$$\frac{{40\pi }}{9}{\text{radian}}$$
Work Step by Step
$$\eqalign{
& {800^ \circ } \cr
& {\text{Multiply by }}\frac{\pi }{{180}}{\text{radian}} \cr
& {800^ \circ } = 800\left( {\frac{\pi }{{180}}{\text{radian}}} \right) \cr
& {800^ \circ } = \frac{{800\pi }}{{180}}{\text{radian}} \cr
& {\text{Simplify}} \cr
& {800^ \circ } = \frac{{40\pi }}{9}{\text{radian}} \cr} $$