I saw this video recently and it suggests that there is some "magical" reason that there are 360 degrees in a circle and that it is also connected with our number system. My question is:
How did we decide upon our number system (i.e. The base 10 system)? I always believed it was because we have ten fingers to count with.
Is our number system connected with the reason we have 360 degrees in a circle? If so, what is that reason? If not, what significance is there to 360?
Both are arbitrary, and not everyone uses the same base. I've heard of different civilizations using base 20, computer scientists use base 2 and 16 a lot. Why 10 is so popular I believe is usually said to be because we have 10 fingers.
For 360, the story I've heard is that it is due to astronomy. There are 365 days in a year, but that's kind of an ugly number, so for convenience we change it to 360 which is divisible by 2,3,4,5,6,... a lot of numbers.