Cone development

Calculator of right circular cone / truncated right circular cone development

Calculator computes parameters of right circular cone or truncated right circular cone development. The picture below illustrates the task.


We have radius of the lower base, radius of the upper base (in case of truncated cone), and cone height. We need to find length of lateral side (or slant height), radius of lower arc, radius of upper arc (again, in case of truncated cone), and common central angle.

Slant height can be found using Pythagoras.
L = \sqrt{ (r_2 - r_1)^2 + H^2 },
for the full cone r1 is zero.

Radius of the upper arc can be found using triangles similarity.
and for the full cone it is zero.

Radius of the lower arc thus
and for the full cone it equals to L

And central angle

PLANETCALC, Cone development

Cone development

Second base radius (in case of frustum - truncated cone)
Digits after the decimal point: 2
Slant height
Lower arc radius
Upper arc radius
Central angle
Lower arc length
Upper arc length
Length of lower arc chord

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Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Cone development