Answer
$$\frac{{17\pi }}{3}{\text{radian}}$$
Work Step by Step
$$\eqalign{
& {1020^ \circ } \cr
& {\text{Multiply by }}\frac{\pi }{{180}}{\text{radian}} \cr
& {1020^ \circ } = 1020\left( {\frac{\pi }{{180}}{\text{radian}}} \right) \cr
& {1020^ \circ } = \frac{{1020\pi }}{{180}}{\text{radian}} \cr
& {\text{Simplify}} \cr
& {1020^ \circ } = \frac{{17\pi }}{3}{\text{radian}} \cr} $$
