Radius of an arc or segment

Given an arc or segment with known width and height:

The formula for the radius is:

W  is the length of the chord defining the base of the arc
H  is the height measured at the midpoint of the arc’s base.


Derivation


Intersecting chord theorem

When two chords intersect each other inside a circle, the products of their segments are equal.

Reference: https://www.mathopenref.com/chordsintersecting.html

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