Isoperimetric Quotient

Author

Eric W. Weisstein
April 16, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/ComputationalGeometry/IsoperimetricQuotient.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/IsoperimetricQuotient.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Plot

Plot[Pi/(n Tan[Pi/n]),{n,2,20},AxesLabel->TraditionalForm/@{n,(Subscript[Q, n])},
Epilog->{AbsoluteDashing[{5,8}],RGBColor[1,0,0],Line[{{0,1},{20,1}}]}]

Limit[Pi/(n Tan[Pi/n]),n->∞]