Please look at this question
https://math.stackexchange.com/posts/comments/9011243?noredirect=1
A user comment this so I thought of asking here
You mean why did we decide on using 360 degrees? I don't know for sure, but question would probably belong on hsm.stackexchange.com. I assume the reason is because 360 is highly composite, which also explains why the clock has 12 hours. – Elliot G 1 hour ago
Another user comment it
Babylonian scholars liked the number 360 because it has many divisors, and from there it became popular in antiquity (also because a few easily constructible angles have integer measure). An alternative system where the right angle is 100 degrees (the so-called centesimal degree) was proposed by revolutionary French academics, but it barely spread ouside of some surviving niche. In my opinion presenting degrees (sexagesimal or otherwise) as anything more than a celebrated relic which has many practical uses is a distortion of our current understanding of angles, which is radians. – Saucy O'Path
So basically that 1st user comment has stated my question " why we took a whole round or circle into 360 parts only naming each part angle as 1° not a circle with parts 540 , 260 etc etc.. only 360??
2nd user said it due to Babylonian history
Can you explain it history of dividing circle in 360° only??