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THE FEUTEX TOOLKIT

Cone Frustum Flat Pattern

Calculate the annular-sector radii and sweep for unrolling a cone frustum.

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01 Your input
02 Your result
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FormulaInner Pattern Radius = r*hypot(h,R-r)/(R-r); Outer Pattern Radius = R*hypot(h,R-r)/(R-r); Sweep = 360*(R-r)/hypot(h,R-r); Slant = hypot(h,R-r)
Sources and model references

Made for real tasks

  • Calculate the annular-sector radii and sweep for unrolling a cone frustum.
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Worked example

Inputs

Small radius
2 length
Large radius
5 length
Vertical height
4 length

Expected results

Inner Pattern Radius
3.333333333 length
Outer Pattern Radius
8.333333333 length
Sweep
216 degrees
Slant
5 length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter small radius, large radius, vertical height.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "r": 2,
  "R": 5,
  "h": 4
}

Accuracy and scope

Ideal zero-thickness sheet; no seam allowance or bend compensation.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.