Convert an angle from degrees to radians using the unit circle

The formula to convert degrees to radians is: \( \theta = \frac{\pi}{180} \times \text{degrees} \)

Given an angle of 120 degrees, we use the following calculation:

$ \theta = \frac{\pi}{180} \times 120 $

This simplifies to:

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

Hence, 120 degrees is equivalent to \( \frac{2\pi}{3} \) radians.

To convert 120 degrees to radians, use the formula:

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

For an angle of 120 degrees:

$ heta = frac{pi}{180} imes 120 $

Simplifying this expression:

$ heta = frac{120pi}{180} $

Further simplification gives:

$ heta = frac{2pi}{3} $

Therefore, 120 degrees equals ( frac{2pi}{3} ) radians.

To convert 120 degrees to radians:

$ heta = frac{pi}{180} imes 120 $

Simplified:

$ heta = frac{2pi}{3} $

Thus, 120 degrees = ( frac{2pi}{3} ) radians.

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