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What is the perimeter of an ellipse if the major axis is 30MM and the minor axis is 12MM?
Wiki User
∙ 11y ago
A simple question with a horrendously complicated answer.
Short of carrying out elliptical integrals, the best I can suggest is the Ramanujan approximation according to which:
Perimeter = pi*{3(a + b) - sqrt[10ab + 3(a2 + b2)]} where a and b are the semi-major and semi-minor axes.
Substituting a = 15 mm and b = 6 mm gives
Perimeter = 69.04 mm.
A quick and easy, but roughly approximate method is as follows:
The ellipse is between a circle of diameter 30 mm and one of 12 mm. Averaging these two gives a diameter of 21 mm. A circle with a 21 mm diameter has a circumference (perimeter) of 65.97 mm.
Wiki User
∙ 11y ago
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