Draw Angles - Plotting Program
Plotting program for angles. The position of the first arm remains, the second arm rotates counter-clockwise at increasing angle.
An angle describes how two intersecting straight lines (also called legs) are relative to each other. The larger the angle, the greater the distance between the lines as you move away from the point of intersection. This applies up to an angle of 90 or 180 degrees (°). At 90 degrees, the right angle, the distance is the greatest on both sides, at 180 degrees the straight lines are on top of each other, but in opposite directions.
If you continuously increase the angle from 0 to 360 degrees, then the legs describe a circular path. 180 degrees is a semicircle, 360 is a full circle. The division of the circle into 360 degrees is arbitrary and dates back to the ancient Babylonians, as are the divisions of a degree into 60 arc minutes and a arc minute into 60 arc seconds. Instead of minutes and seconds, you can also calculate in fractions of degrees, which is also common and a lot easier. A well-known example is the 23.5 degree tilt of the earth's axis to the plane of rotation, which causes our seasons.
Mathematically more obvious but more difficult to calculate than the degree is the radian, which refers to the circle number π (pi). A semicircle, i.e. 180 degrees, corresponds to one π, 2π is a full circle, i.e. 360 degrees, according to the calculation for the circumference of the circle as 2π times the radius. However, the various calculators on this page prefer to use the degree, because this is simply more catchy and well-known.
Usually, angles are denoted with lowercase Greek letters. In the case of a triangle, these are alpha (α), beta (β) and gamma (γ). In the case of a square, the delta (δ) is added, and so on.
See also Triangle Calculator.