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Circumference of Ellipse

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Old   August 16, 2000, 05:01
Default Circumference of Ellipse
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Q.Ronnie
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Hello.

Is there anyone to know a formula to determine the circumference of ellipse(x2/a2+y2/b2=1).

Thanks in advance.
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Old   August 16, 2000, 06:01
Default Re: Circumference of Ellipse
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E.Buchanan
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have a look at http://forum.swarthmore.edu/dr.math/...q.ellipse.html
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Old   August 24, 2000, 06:56
Default Re: Circumference of Ellipse
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Daniel Jaeggi
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There is a neat approximation which has a maximum error of 0.4%. After Roger Maertens.

Perimeter = ((a^y+b^y)^(1/y))*4

where a,b = major/minor semi axis y = const = ln(2)/(ln(pi/2))

Hope that's helpful!

Or you could always do a little numerical integration.

dan
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