A bit of Maths history...
" Why does a circle have 360º?
A line of ancient peoples who lived in Mesopotamia (now southern Iraq) invented writing, observed the skies, and invented a 360-degree circle to describe their findings. About 3000 BC, the Sumerians invented writing. They also had a calendar, dating from 2400 BC, that divided the year into 12 months of 30 days each, that is, 360 days.
They noticed the circular track of the Sun's annual path across the sky and knew that it took about 360 days to complete one year's circuit. So, they divided the circular path into 360 degrees to track each day's passage of the Sun's whole journey.
That's how we got a 360 degree circle.
But the year has 365 days, not 360. We seem to be five degrees short. Why? Standards of scientific measurement in ancient days were not as precise as they are today. Three hundred sixty was also readily divisible into thirds, fourths, fifths, sixths, etc. This gave mathematicians a great advantage when it came to doing calculations. "
To this day, we use more "degrees" in calculations than "grades" (that is way more recent) or radians. Anyway, all of them are important when it comes to Maths in college. Before that, it is not big deal. Though, you have to convert
one into another as a subject in school.