Question

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

$-225°$

Short answer

The required answer is$\frac{-5\mathrm{\pi }}{4}radians$.

Step-by-step solution

Step 1. Given Information

Given angle:$-225°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have, $-225°$

$-225°=-225·1°$

$=-225·\frac{\mathrm{\pi }}{180}radian$

$=\frac{-5\mathrm{\pi }}{4}radians$