🔄 Coordinate Rotation

Rotate X/Y coordinates around a center point by any angle. Positive = counter-clockwise. Updates in real-time.

Original Point

Rotation

Angle (°)

Center X

Center Y

Formula:
X' = cx + (X − cx)·cos(θ) − (Y − cy)·sin(θ)
Y' = cy + (X − cx)·sin(θ) + (Y − cy)·cos(θ)

CNC Tip: Use this when your part is fixtured at an angle and you need to recalculate feature positions relative to the rotated coordinate system.

Why Coordinate Rotation Matters

Coordinate rotation transforms X/Y positions around a center point by a given angle. It's the math behind G68 rotation on CNC mills — essential when a feature pattern needs to be clocked to a different orientation without reprogramming every point.

Rotates any set of coordinates around an arbitrary center point, not just the origin
Useful for programming bolt patterns, pocket arrays, and engraving at angles without CAM
Same trigonometry your CNC control uses for G68 — verify rotated positions before running the program

🔄 Coordinate Rotation

Why Coordinate Rotation Matters

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