>>12958068Although radians naturally emerge from the power series for e^x, degrees are completely arbitrary. The reason is that the babylonians considered 60 and 360 to be nice round numbers in the same way that we consider 10 and 100 to be nice round numbers. They could have arbitrarily divided the circle any way they liked.
We stick with it because everybody has used it for so long it's a hassle to change.