Question

Covert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.

Short answer

The required measure of angle is$\frac{2\mathrm{\pi }}{3}radians$.

Step-by-step solution

Step 1. Given Information

Given Angle:$120°$

Step 2. Formula Used

We need to use the following conversion formula,

$1degree=\frac{\mathrm{\pi }}{180}radian$

Step 3. Calculation

We have the angle, $120°$

$120°=120·1°$

$=120·\frac{\mathrm{\pi }}{180}radian$

$=\frac{2\mathrm{\pi }}{3}radians$

So,$120°$equals$\frac{2\mathrm{\pi }}{3}radians$.