#### Answer

Quadrant III

#### Work Step by Step

A negative angle measurement means the angle is measured from the positive x-axis going clockwise.
Since $-\frac{\pi}{2}\approx -1.57$ and $-\pi \approx -3.14$, then$-2$ radians is between $-\frac{\pi}{2}$ and $-\pi$.
$-\frac{\pi}{2}$ is the negative y-axis while $-\pi$ is the negative x-axis.
Thus, $-2$ radians must be in Quadrant III.