
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
