Answer
$$\dfrac{31\pi}{18} \space \text{radians}$$
Work Step by Step
Multiply by $\frac{\pi\space \text{radians}}{180^\circ}$ to convert from degrees to radians:
$$310^\circ \times \dfrac{\pi\space \text{radians}}{180^\circ}= \dfrac{31\pi}{18} \space \text{radians}$$