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On Length and Curvature

by Hao Jiang (Ohio Wesleyan University) and Jeffrey Nunemacher (Ohio Wesleyan University)

This article originally appeared in:
Mathematics Magazine
December, 1994

Subject classification(s): Calculus
Applicable Course(s): 4.9 Geometry | 3.2 Mainstream Calculus II | 3.0 Calculus

The author uses the concept of curvature to prove that one curve is longer than another over [0, 1].

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