Question

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

$-135°$

Short answer

The required answer is$\frac{-3\mathrm{\pi }}{4}radians$.

Step-by-step solution

Step 1. Given Information

Given angle:$-135°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have, $-135°$

$-135°=-135·1°$

$=-135·\frac{\mathrm{\pi }}{180}radian$

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