Circular segment: Difference between revisions

Revision as of 21:32, 30 April 2024

Revision as of 03:05, 5 January 2025

Line 13:

=== Radius and central angle ===

The radius is:

:<math>R = \tfrac{h}{2}+\tfrac{c^2}{8h}</math><ref>The fundamental relationship between <math>R</math>, <math>c</math>, and <math>h</math> derivable directly from the Pythagorean theorem among <math>R</math>, C<math>c/2</math>, and r<math>R-h</math> as components of a right-angled triangle is: <math>R^2=(\tfrac{c}{2})^2+(R-h)^2</math> which may be solved for <math>R</math>, <math>c</math>, or <math>h</math> as required.</ref>

The central angle is

Line 73:

To check hole positions on a circular pattern. Especially useful for quality checking on machined products.

For calculating the area or locating the centroid of a planar shape that contains circular segments.

== See also ==