How do you convert -630 degrees to radian?

May 2, 2018

$- 3.5 \pi r a d$

Explanation:

To convert degrees to radians, multiply by $\frac{1}{1}$ in radians over degrees:
$\frac{2 \pi}{360}$ (Each measure is equal to a full circle).
$- 630 \cdot \frac{2 \pi}{360} = - 3.5 \pi r a d$

May 3, 2018

A circle is $360$ degrees, also known as $2 \pi$ radians. So $- {630}^{\circ}$ is

$- {630}^{\circ} \times \frac{2 \pi}{{360}^{\circ}} = - \frac{7 \pi}{2}$ radians.

Explanation:

It's an absurd system designed to confuse students when $- \frac{7}{4}$ of a circle is $- \frac{7}{2}$ of the circle constant.