Q. 46 - 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, $-180°$

$-180°=-180·1°$

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

$=-\mathrm{\pi radians}$