Why are there only 360 degrees in a circle?

juggling animals

That question was asked in one of my classes recently. I’ve been pondering this now for a couple of days. Why isn’t a circle 361 degrees, or 365, or 720, or 1? Where/when/how/why did 360 become the *magic* number of degrees?

Calling all mathematicians, astronomers, historians, musicians, physicists, cheaters & priests!

Come to my aid and answer this question!