Rotationsgrad

Rotationsgrad, also known as degree of rotation, is a mathematical concept used to quantify the amount a point, line, or object has been rotated around a fixed point or axis. It is typically measured in degrees or radians. A full rotation, or 360 degrees (or 2π radians), brings an object back to its original orientation.

In two-dimensional geometry, rotations are typically performed around a point. The rotationsgrad indicates how many degrees the object is turned either clockwise or counterclockwise. A positive value usually signifies a counterclockwise rotation, while a negative value indicates a clockwise rotation. For example, a rotationsgrad of 90 degrees counterclockwise would move a point from the first quadrant to the second quadrant.

In three-dimensional geometry, rotations occur around an axis. The concept of rotationsgrad remains the same, indicating the angular displacement. However, specifying the axis of rotation is crucial for defining the transformation completely. Common axes include the x-axis, y-axis, and z-axis. The angle of rotation defines the extent of the twist around that axis.

The concept of rotationsgrad is fundamental in various fields, including computer graphics, physics, engineering, and robotics, where understanding and calculating rotations is essential for simulating movement, analyzing motion, and controlling systems. It is a key component in matrix transformations used to represent rotations in these applications.