A Product of Chord Lengths in a Circle
Let points be placed on a circle of radius 1 dividing it into equal arcs. If chords are drawn from one of the points to all of the others, then the product of the lengths of the chords is .
This Demonstration is based on:
T. E. Price, "Products of Chord Lengths of an Ellipse," Mathematics Magazine, 75(4), 2002 pp. 300–307.