Q. 41 - Precalculus Enhanced with Graphing Utilities

Question

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

$180°$

Step-by-Step Solution

Answer

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

Step 1. Given Information

Given angle: $180°$

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, $180°$

$180°=180·1°$

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

$=\mathrm{\pi radians}$