Q. 35 - Precalculus Enhanced with Graphing Utilities

Question

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

$30°$

Step-by-Step Solution

Answer

The required measure of angle is $\frac{\mathrm{\pi }}{6}radians$.

Step 1. Given Information

Given angle: $30°$

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, $30°$

$30°=30·1°$

$=30·\frac{\mathrm{\pi }}{180}radian$

$=\frac{\mathrm{\pi }}{6}radians$                   

Hence, $30°$equals$\frac{\mathrm{\pi }}{6}radians$.