Question

write the measure in radians. 120°

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula: \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees} \)

Step2: Substitute the degree value

Substitute \(120^{\circ}\) into the formula: \( \frac{\pi}{180}\times120=\frac{120\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{120\pi}{180} \) by dividing numerator and denominator by 60: \( \frac{120\div60}{180\div60}\pi=\frac{2\pi}{3} \)

Answer:

\(\frac{2\pi}{3}\)