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Segmented Ring Layout Calculator

Calculate segment miter angle and inner and outer chord lengths for a regular segmented ring.

Prefilled values are examples. Replace them with measurements and current costs for your project.

Inputs

Ring geometry

Range: at least 0.01 in

Enter the finished diameter measured across the outside of the regular ring.

Range: at least 3

Enter a whole number of identical segments. Fractional counts are flagged and their dimensions are only indicative.

Range: at least 0 in

Enter the distance from the outside edge to the inside edge of the ring.

Result

Included angle per segment
30.000°
Inside edge length
5.176 in
Calculated inside diameter
20.000 in
Miter angle at each segment end
15.000°
Outside edge length
6.212 in
Positive inside opening.
Whole segment count.

Formula

Miter angle at each segment end
—
Outside edge length
—
Inside edge length
—

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Results are planning aids based on the inputs and assumptions shown. Verify dimensions, stock sizes, hardware clearances, kerf, and current prices against your project before cutting or quoting.