Question

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

$30°$

Short answer

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

Step-by-step solution

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