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Pentadecagon


Pentadecagon

A 15-sided polygon, sometimes also called the pentakaidecagon. For a regular pentadecagon with side length 1, the inradius r, circumradius R, and area A are

r=1/2(sqrt(3)+sqrt(5+2sqrt(5)))
(1)
R=1/4(sqrt(3)+sqrt(15)+sqrt(2)sqrt(5+sqrt(5)))
(2)
A=(15)/8(sqrt(3)+sqrt(15)+sqrt(2)sqrt(5+sqrt(5))).
(3)

See also

Polygon, Regular Polygon, Trigonometry Angles--Pi/15

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Cite this as:

Weisstein, Eric W. "Pentadecagon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Pentadecagon.html

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