This is like being shown a dollar bill and being told it is 15 centimeters long and having to estimate how many centimeters long the picture of George Washington is, but your ruler only has inches on it. The Babylonians attributed mystical importance to the numbers 2 and 3 and especially their product 6. So they divided up this great circle in the sky into 360 parts, and that is where degrees come from. Good grief, and I thought astronomy was bad for going all they back to Hipparchus's ancient magnitude system. I like to use radians because they are easier to work with if you are trying to find the distance to something.
Radians also have a more intuitive definition.
Try drawing a radian. Take a length equal to the radius of the circle and lay it along one edge Draw an angle from the ends of the curved radius segment to the center of the circle. This makes an angle at the center of the circle. This angle is exactly one radian in size.