# The Product of Chord Lengths of a Circle

by Andre P. Mazzoleni (Texas Christian University) and Samuel Shan-Pu Shen (University of Alberta)

This article originally appeared in:
Mathematics Magazine
February, 1995

Subject classification(s): Analysis | Complex Analysis
Applicable Course(s): 4.19 Complex Variables

Distribute $$n$$ points equally on a unit circle. The product of $$(n - 1$$) cord lengths drawn from one of the $$n$$ points is equal to $$n$$. The proof uses the residue theorem of complex analysis.

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