![]() However if you want to express multiple rotations, valid radian and degree values are between 0 and infinity. Single rotation degree values are between 0 and 360. Single rotation valid radian values are between 0 and 2*pi. > 360 * math.pi / 180.0 #360 degrees in radiansÄ®xpressing multiple rotations with degrees and radians > 90 * math.pi / 180.0 #90 degrees in radians > (2 * math.pi) * 180.0 / math.pi #2*pi radians is 360 degreesÄegrees to radians: > 0 * math.pi / 180.0 #0 degrees in radians > (math.pi) * 180.0 / math.pi #pi radians is 180 degrees > 0 * 180.0 / math.pi #0 radians is 0 degrees Mistakes here are easy to make, and will hurt just like it hurt the developers of the 1999 mars orbiter, who sunk $125m dollars crashing it into Mars because of non intuitive edge case here. If you roll your own degree/radian converter, you have to write your own code to handle edge cases. You can do degree/radian conversion without python libraries: > math.radians(360) #360 degrees is 2*pi radians > math.radians(270) #270 degrees is pi+(pi/2) radians > math.radians(180) #180 degrees is pi radians > math.radians(90) #90 degrees is pi/2 radians Python examples using libraries calculating radians from degrees: > import math > grees(math.pi+math.pi) #2*pi radians is 360 degrees > grees(math.pi+(math.pi/2)) #pi+pi/2 radians is 270 degrees > grees(math.pi) #pi radians is 180 degrees > grees(math.pi/2) #pi/2 radians is 90 degrees Python examples using libraries calculating degrees from radians: > import math Wikipedia has some great intuition with their infographics on how one Radian is defined relative to degrees: Radians and degrees are two separate units of measure that help people express and communicate precise changes in direction. What are Radians and what problem does it solve?: Python convert radians to degrees or degrees to radians:
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