#### Answer

$\frac{17\pi}{3}radians$

#### 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.
$1020^{\circ}=1020\times(\frac{\pi}{180}radians)=\frac{1020\pi}{180}radians=\frac{17\pi}{3}radians$