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4.2. Angle measure

#rad Radian

It is usual for scientists and engineers to measure angles in radians.

Radian is the angle at the center of a circle that intercepts an arc equal in length to the radius. From these definitions, it follows that 1 revolution = 4 right angles = 360° = 2pi radians.

#deg Degree

The word "degree'' has many meanings in mathematics. The most common meaning is that it is the unit of Angle measure. This unit dates back to the Babylonians, who used a base sixty number system. Likely arises from the Babylonian year, which was composed of 360 days (12 months of 30 days each). The degree is subdivided into 60 Minutes per degree, and 60 Seconds per Minute.

Positive values move counterclockwise (that is, a line at 90° points straight up) and negative values move clockwise (a line at -90° points straight down)

If the values are greater than 360, then 360 is subtracted from them until the value is less than 360. (Entering an angle of 450° or 810° is the same as entering 90°). In other words, the angle is divided by 360 and the remainder is used as the angle.

#grad Grade

Grade is a unit of angular measure in which the angle of an entire Circle is 400 grads. A Right Angle is therefore 100 grads. A grade is sometimes also called a Gon or a Gradient.

The lines which started with # are command lines. With these lines it is possible to change the number format or the angle measurement. To change the measure angles into degrees, enter #deg in input line.