1. The problem is to find where 120 degrees falls on the unit circle or in radians. 2. First, convert 120 degrees to radians using the formula $\text{radians} = \text{degrees} \times \frac{\pi}{180}$. 3. Substitute 120 degrees: $$120 \times \frac{\pi}{180} = \frac{120}{180} \pi = \frac{2}{3} \pi$$ 4. So, 120 degrees equals $\frac{2}{3} \pi$ radians. 5. On the unit circle, $\frac{2}{3} \pi$ radians is in the second quadrant because it is between $\frac{\pi}{2}$ and $\pi$. 6. This means 120 degrees is 60 degrees past 90 degrees, or $\frac{\pi}{2}$ radians, moving counterclockwise from the positive x-axis. 7. Therefore, 120 degrees falls in the second quadrant at $\frac{2}{3} \pi$ radians.