Sheet Metal Cone Flat Pattern Calculator

Large finished diameter of the frustum.
in
Small finished diameter. Use 0 for a full cone.
in
Straight vertical height, not slant height.
in
Straight seam allowance added as a simple slant-height strip for area estimating.
in

Results

Default result
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Pattern sector angle (theta)
103.45 °
Pass

Also computed

Outer pattern radius (R1) Pass 20.881 in

Inner pattern radius (R2) 10.44 in

Slant height (s) 10.44 in

Large arc length 37.699 in

Small arc length 18.85 in

Pattern area 295.19 in²

Method notes 3 notes
  • Slant height s = sqrt(H^2 + ((D1 - D2)/2)^2). Pattern radii are s*D1/(D1-D2) and s*D2/(D1-D2).
  • Sector angle comes from matching the developed outer arc to the finished large circumference: theta = 180*D1/R1 degrees.
  • This is a geometric flat-pattern screen. Thickness compensation, bend/stretch allowance, forming method, locks, hems, notch relief, grain direction and shop tooling are not included.

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