# Cone ratio

The technical description of a cone shape is called the **cone ratio** . The cone taper can be specified either as a cone ratio or by the included cone angle . It is calculated from the difference between two diameters and divided at the cone by the distance between these diameters:

Common cone ratios are, for example, 1:50 in mechanical engineering or 1:20 for brass instruments (mouthpiece shaft).

The cone ratio also includes the **cone angle** α, which describes the opening angle of the cone. In the drawing on which is the opposite side to the half angle equal to the toned right triangle , the adjacent side equal . The mathematical relationship between the tangent (= opposite side through adjacent side) of half the opening angle and the taper ratio is therefore:

## Individual evidence

- Hans Hoischen, Wilfried Hesser: Technical drawing . 30th edition. Cornelsen Verlag, Berlin 2005, ISBN 3-589-24110-1 , pp. 134 f .