Answer
$$\frac{{35\pi }}{{36}}{\text{radian}}$$
Work Step by Step
$$\eqalign{
& {175^ \circ } \cr
& {\text{Multiply by }}\frac{\pi }{{180}}{\text{radian}} \cr
& {175^ \circ } = 175\left( {\frac{\pi }{{180}}{\text{radian}}} \right) \cr
& {175^ \circ } = \frac{{175\pi }}{{180}}{\text{radian}} \cr
& {\text{Simplify}} \cr
& {175^ \circ } = \frac{{35\pi }}{{36}}{\text{radian}} \cr} $$
