Convert $120^{circ}$ to radians using the unit circle.

To convert degrees to radians, use the formula:

$\text{radians} = \text{degrees} \times \frac{\pi}{180}$

Plugging in 120 degrees:

$120^{\circ} \times \frac{\pi}{180} = \frac{120\pi}{180}$

Simplify the fraction:

$\frac{120\pi}{180} = \frac{2\pi}{3}$

So, 120 degrees is equal to:

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

Convert the angle measure from degrees to radians:

$ ext{radians} = ext{degrees} imes frac{pi}{180}$

For 120 degrees:

$120 imes frac{pi}{180} = frac{2pi}{3}$

So, 120 degrees is:

$frac{2pi}{3} ext{ radians}$

Use the conversion formula:

$ ext{radians} = ext{degrees} imes frac{pi}{180}$

Therefore:

$120^{circ} = frac{2pi}{3} ext{ radians}$

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