Koordinaten drehen

Coordinate rotation transformation formula

Rotating a coordinate system is a fundamental operation in CNC programming -- from G68 coordinate rotation to transformed work offsets and 5-axis part positioning. This calculator applies the standard 2D rotation matrix.

• New X = X×cos(θ) - Y×sin(θ)
• New Y = X×sin(θ) + Y×cos(θ)
• Positive θ = counter-clockwise rotation (standard mathematical convention)

How to use this Coordinate Rotation Calculator

Enter the original X, Y coordinates and the rotation angle in degrees. The calculator gives the rotated coordinates. Use this to verify transformed toolpaths, check G68 rotations, or compute coordinates for parts mounted at an angle.