Cone Flat-Pattern Development (Radial Line)
Flat pattern of a right cone: slant L = sqrt(r^2 + h^2), sector radius = L, sweep = 360 r / L. R 6 in, h 8 in -> L 10 in, 216-degree sector; a taller R 6/h 16 cone -> 17.09 in slant, a narrower 126-degree sector. Add seam and bend allowance. A layout aid; verify against a test piece.
Formula and source
L = sqrt(base_radius^2 + height^2); pattern radius = L; sweep = 360 x base_radius / L.
Radial-line development of a right cone, standard sheet-metal layout, by name.
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