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

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

Calculation precision

Digits after the decimal point: 2

Calculate

Slant height

 

Lower arc radius

 

Upper arc radius

 

Central angle

 

Lower arc length

 

Upper arc length

 

Length of lower arc chord

 

PLANETCALC, Cone development