Question

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

$-90°$

Short answer

The required measure of angle is$\frac{-\mathrm{\pi }}{2}radians$.

Step-by-step solution

Step 1. Given Information

Given angle:$-90°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have,$-90°$

$-90°=-90·1°$

$=-90·\frac{\mathrm{\pi }}{180}radian$

$=\frac{-\mathrm{\pi }}{2}radians$

$-90°=-90·1°$