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Regular Polygons with Rational Area or Perimeter

by R. B. Killgrove and D. W. Koster (University of Wisconsin)

This article originally appeared in:
Mathematics Magazine
April, 1991

Subject classification(s): Algebra and Number Theory | Number Theory | Polygons
Applicable Course(s): 4.2 Mod Algebra I & II | 4.3 Number Theory | 4.9 Geometry

Two different approaches are given to determine which regular polygons, inscribed within or circumscribed about a unit circle, possess rational area or rational perimeter.

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Capsule Course Topic(s):
Number Theory | Arithmetic Functions
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