angular unit conversion

Angular unit conversion

The unit of angle conversion is degree, which is the unit used to measure the size of angle, and the symbol is °.

The angle of a circle is divided into 360 equal parts, each defined as 1 degree (1°).

The number 360 is used for the angle because it is easily divisible.

By definition, the number of radians in a cycle is 2πr/r=2π, and an angle of 360° =2π radians, so 1 radian is approximately 57.3°, or 57°17'44.806', 1° is π/180 radians, approximately 0.01745 radians, a circumferential angle is 2π radians, a straight angle (i.e., an angle of 180°) is π radians, and a right angle is π/2 radians.

In specific calculations, when angles are given in radians, they are usually written directly without radians. The most typical examples are trigonometric functions such as sin 8π, tan (3π/2).