Question

how many radians is 120°? give the exact answer in simplest form. radians

Explanation:

Step1: Recall degree-radian conversion

We know $180^\circ = \pi$ radians, so $1^\circ = \frac{\pi}{180}$ radians.

Step2: Convert $120^\circ$ to radians

Multiply $120$ by $\frac{\pi}{180}$:
$$120 \times \frac{\pi}{180} = \frac{120\pi}{180}$$

Step3: Simplify the fraction

Cancel common factor 60:
$$\frac{120\pi}{180} = \frac{2\pi}{3}$$

Answer:

$\frac{2\pi}{3}$