Circular segment: Difference between revisions

Revision as of 20:08, 16 February 2023

Revision as of 04:43, 9 April 2023

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=== Radius and central angle ===

The radius is:

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

The central angle is

:<math> \theta = 2\arcsin\tfrac{c}{2R}</math>

=== Chord length and height ===