Answer
$$\dfrac{83\pi}{36} \space \text{radians}$$
Work Step by Step
Multiply by $\dfrac{\pi\space \text{radians}}{180^\circ}$ to convert from degrees to radians:
$$415^\circ \times \dfrac{\pi\space \text{radians}}{180^\circ}= \dfrac{83\pi}{36} \space \text{radians}$$