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Kűrschák's Theorem


The area of the dodecagon (n=12) inscribed in a unit circle with R=1 is

 A=1/2nR^2sin((2pi)/n)=3.

See also

Dodecagon, Kűrschák's Tile

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References

Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, p. 137, 1991.

Referenced on Wolfram|Alpha

Kűrschák's Theorem

Cite this as:

Weisstein, Eric W. "Kűrschák's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KurschaksTheorem.html

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