Answer
$\frac{\pi}{4}radians$
Work Step by Step
In order to convert degree measures to radians, we must multiply the given degree measure by $\frac{\pi}{180}$ and simplify.
$45^{\circ}=45\times(\frac{\pi}{180}radians)=\frac{45\pi}{180}radians=\frac{\pi}{4}radians$