Question

5.1
score: 1.83/27 answered: 2/27
question 11
for the angle below, convert to radian measure. answer exactly.
\\( \theta = 120 ^ { \circ } \\)
converted to radians:
question help: video ebook written example message instruct

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 given degree value

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

Step3: Simplify the expression

Simplify \( \frac{\pi\times120}{180}=\frac{2\pi}{3} \).

Answer:

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