Why does a circle have 360 degrees?

Question

i need details and sources please

Answer 1

This article is about the shape and mathematical concept of circle; for other meanings, see circle (disambiguation).
In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, the centre. The points can only be those that are part of a conic section; within the set of a plane bisecting a cone. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference(C). Usually, however, the circumference means the length of the circle, and the interior of the circle is called a disk. An arc is any continuous portion of a circle. Circles are named by their centre, i.e. Circle O or ʘE.

Answer 2

Because a degree is defined to be the angle that interesects with two points on a circle, creating an arc of length 1/360th of the circumference of the circle.

In short, that's its definition.

Answer 3

Because the ancient Babylonians said it does. Their number system was based on 60, so 6x60 seemed a natural number to them. It's also very close to the number of days in a year.

Also, the Babylonians were the ones who divided an hour into 60 minutes and a minute into 60 seconds.