How do you convert -pi radians to degrees?

1 Answer
Sep 7, 2015

#-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.