Question

In Problems $1-3$, convert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.

$2.-400°$

Short answer

The angle in radian measure is$-\frac{20\mathrm{\pi }}{9}$.

Step-by-step solution

Step 1. Given information

Given angle measure in degree is $-400°$.

To convert degree measure to radian, multiply degree measure to $\frac{\mathrm{\pi }}{180°}$.

This gives

$-400°\times \frac{\mathrm{\pi }}{180°}=-\frac{20\mathrm{\pi }}{9}$.