Q. 37 - Precalculus Enhanced with Graphing Utilities

Question

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

$240°$

Step-by-Step Solution

Answer

The required measure of angle is $\frac{4\mathrm{\pi }}{3}radians$.

Step 1. Given Information

Given angle: $240°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have the angle, $240°$

$240°=240·1°$

$=240·\frac{\mathrm{\pi }}{180}radian$

$=\frac{4\mathrm{\pi }}{3}radians$