Question

standard 13 homework
score: 5/27 answered: 4/22
progre
question 5
convert the angle 120° to radians. enter your answer as a reduced fraction involving π.
120°=
radians
question help: message instructor post to forum

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 value of degrees

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

Step3: Simplify the fraction

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

Answer:

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