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Bolt circle calculator

Lay out equally spaced holes around a circle. Zero degrees points right along positive X; positive angles point counterclockwise.

Calculator

Angular spacing
60
Adjacent hole centre distance
0.05
Hole coordinates (selected table unit)
HoleAngle (degrees)XY
1.000000.0000050.000000.00000
2.0000060.0000025.0000043.30127
3.00000120.00000-25.0000043.30127
4.00000180.00000-50.000000.00000
5.00000240.00000-25.00000-43.30127
6.00000300.0000025.00000-43.30127

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How this calculator works

The full turn is divided by the number of holes. Polar coordinates give each centre relative to the selected origin. Check your machine coordinate convention and work offset before transferring the table.

Formula

theta_i = theta_0 +/- 2 pi i / N; X_i = Xc + R cos(theta_i); Y_i = Yc + R sin(theta_i); chord = 2R sin(pi/N).

Worked example

Four holes on a 100 mm diameter circle starting at zero have centres (50,0), (0,50), (-50,0) and (0,-50) mm.

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Frequently asked questions

Is radius the same as bolt circle diameter?

Radius is half the bolt circle diameter. Enter 50 mm for a 100 mm bolt circle.

Does the table include hole diameter?

No. Coordinates locate hole centres. Hole size, edge distance and fit need separate specification.

Can I offset the pattern?

Yes. Add the centre X and Y coordinates in the same coordinate system as your drawing.

Sources

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