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Bolt Circle Calculator

Calculate equally spaced hole centers from a known pitch circle diameter. Inspect the diagram, copy coordinates or download a CSV in your browser.

Calculations run locally in your browser. Inputs are not sent to Studio, and using this tool requires no account.

Top view: +X points right, +Y points up. Start angle is measured counterclockwise from +X, even when numbering clockwise. Hole 1 is at the start angle. Table angles are normalized to [0°, 360°).

Hole center coordinates

Pitch circle radius
50 mm
Angular spacing
90°
Top-view pitch circle and numbered hole centersAxes pass through the entered center, not the global origin. Markers denote centers, not hole diameters. Labels are omitted above 32 holes; the table always lists every hole. Top view: +X points right, +Y points up. Start angle is measured counterclockwise from +X, even when numbering clockwise. Hole 1 is at the start angle. Table angles are normalized to [0°, 360°).+X+Y1234

Axes pass through the entered center, not the global origin. Markers denote centers, not hole diameters. Labels are omitted above 32 holes; the table always lists every hole.

Hole center coordinates
HoleAngle (°)X (mm)Y (mm)
10500
290050
3180-500
42700-50

Copy this brief, open Studio, then add the missing part dimensions and review the generation cost before submitting. Nothing is submitted automatically.

Open Studio

Formula and worked example

For hole i = 0…n−1: R = PCD/2; Δθ = 360°/n; θᵢ = θ₀ ± iΔθ; Xᵢ = Cx + R cos θᵢ; Yᵢ = Cy + R sin θᵢ. Use + for counterclockwise and − for clockwise numbering. Trigonometric calculations convert degrees to radians.

Example: 4 holes on a 100 mm PCD, center (0, 0), start 0°, counterclockwise → (50, 0), (0, 50), (−50, 0), (0, −50) mm; spacing 90°.

PCD is the entered diameter, not inferred from an unknown bolt pattern. This is not G-code, a drilling program, a fit check or a structural calculation. Screen and brief values use up to 10 significant digits; CSV retains numeric precision.

Changing mm/in converts entered dimensions instead of reinterpreting them. 1 in = 25.4 mm exactly. NIST unit conversion tables

Frequently asked questions

Can I enter a negative center or start angle?

Yes. Center X/Y and the start angle are signed; the diameter must stay positive. A −90° start is equivalent to 270°.

Does the calculator determine the hole size?

No. The markers and CSV describe hole centers only. Choose the hole diameter, edge distances and tolerances separately before modeling or machining.

Can I use inches?

Yes. Switching units converts PCD and both center coordinates. Angles and hole count are unchanged. Floating-point rounding may occur.