Computation of the segments of a circular corona of given size

Geometrical references
Version 1.0 - August 16, 1998

This page gives the solution of the following problem:

Given a circular corona of external radium R, and a set of veneer sheets of maximum width of L and lengh of H, determine the minimum even number of segments to cover the entire surface, and the value of the internal radium obtained

With reference to the figure at the side, to compute the number of sections we use the same formula as for the case of the computation of the sunburst sections, i.e.:

N = Trigonometric Formula

where L=L2 and the corner below is given by: corner=atan(L2/R). The internal radium is therefore computed with the following formula:

r = (extrenal_radium - H)/acos(angolo) while the internal side becomes: L1 = r x sin(corner)

The following fields automatically compute the result. Beware that your browser has to support JavaScript.

Input Data Results
External radium R in inches Equivalent corner b in degrees:
Width L of the available veneer in inches: Number of needed sections N:
Their lenght H in inches: Internal side L1 in inches:
Internal radium r in inches: