Overview of degree symbol interpretation
Use the number 360, because it is easily divisible. 360 has 22 real factors besides 1 and itself, including 2 to 10 except 7, so many special angles are integers. In practical application, the angle of an integer is accurate enough. Sometimes more accurate measurements are needed.
For example, in astronomy or the latitude and longitude of the earth, in addition to expressing degrees in decimals, degrees can be subdivided into minutes and seconds, 1 degree is 60 minutes and 60 seconds, and 1 degree is 60 seconds and 60 seconds. For example, 40.1875 = 4011'15 ". To be more accurate, seconds are expressed in decimals instead of adding units. In mathematics, radian is used instead of angle, because the divisibility of 360 is not important to mathematics, and radian is more convenient in mathematics.