Question

How do you convert -pi radians to degrees?

Answer 1

`-pi` radians is `180` degrees.

Explanation:

`1` degree is equal to `pi/180` radians.

`1` radian is equal to `180/pi` degrees.

From here we can see that `pi` radians is `180` degrees.

Remember that negative angles are angles that go clockwise.

`pi` radians is the same as `-pi` radians because going `180` degrees counterclockwise is the same as going `180` degrees clockwise. You can imagine this.

Therefore `-pi` radians is `180` degrees.

For angles in general, `-r` radians is the same angle as `2pi - r` radians. Similarly, `-r` degrees is the same angle as `360-r` degrees. You can do this if you want to work with positive angles.