Generate flat Cartesian linear coordinate step mapping locations for multi-hole patterns around a pitch circle diameter matrix center point.
1. Pattern Dimensions
2. Generated Machining Output Table
Hole ID
Angle (°)
X Dimension
Y Dimension
Click calculate to populate coordinate array positions.
Trigonometric Flange Layout Formulas
Developing structural hole alignments without expensive machine software requires converting polar geometry markers (radius and angle) back into flat layout metrics. The calculations use the radius value ($R = \text{PCD} / 2$) and step angles incremented by splitting a full sweep ($\Delta\theta = 360^\circ / N$). Individual hole coordinate plots derive from the cosine and sine relationships: $X = R \times \cos(\theta)$ and $Y = R \times \sin(\theta)$.
Disclaimer: This tool is provided for educational and informational tracking purposes only. Outputs represent absolute geometric positions relative to a perfect reference zero data origin point. Machine backlashes, drill deflection paths, material thermal expansion adjustments, and indexing fixture errors are outside the scope of this web script. Final work tracking remains the absolute responsibility of the fabricator.