Perimeter of an Ellipse

descriptionPublicationkeyboard_double_arrow_right Article 04 Mar 1920 English Publisher:Springer Science and Business Media LLCJournal:Nature, volume 105, pages 8-8 (issn: 0028-0836, eissn: 1476-4687,

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Authors: Rogers, R. A. P.;

doi: 10.1038/105008d0

Perimeter of an Ellipse

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Abstract

THE following approximate formula for finding the perimeter of a fairly flat ellipse may be found practically useful. Suppose a = 1, then the length of a quadrant of the ellipse is nearly where a is the major, and b the minor, axis. The formula works best from about b = 0·2 to b = 0·5, after which the formula of Boussinesq is more accurate, viz.

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