Q. 36 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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 $\frac{2\mathrm{\pi }}{3}radians$.