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.
,
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

Cone development

Base radius:

Cone height:

Second base radius (in case of frustum - truncated cone):

Calculation precision:0.12345678901234567890

Calculate PLANETCALC

 Slant height:

 Lower arc radius:

 Upper arc radius:

 Central angle:

 Lower arc length:

 Upper arc length:

 Length of lower arc chord: