There are many theories why there are 360 degrees in a circle. Some possibilities:

-Ancient calendars, such as the Persian calendar, used 360 days. These calendars were sexigesimal (base 60). (This is the one time during math where it is appropriate to use the word “sex”)

-360 is divisible by 24 factors, including every number from 1-10 except 7. These 24 factors can be significant because we divide the world into 24 times zones

-360 is rounded off from 365, the amount of days in a year.