#### Answer

$\frac{35\pi}{36}radians$

#### 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.
$175^{\circ}=175\times(\frac{\pi}{180}radians)=\frac{175\pi}{180}radians=\frac{35\pi}{36}radians$