= Regular hexagon
A <regular hexagon> is a <hexagon> with all side lengths equal and all interior <angles> equal to $2\pi/3$. Joining its centre to the six vertices divides it into six <equilateral triangles>. Consequently its <circumradius> equals its side length $a$, its <inradius> is $\sqrt3a/2$, and its <area> is $3\sqrt3a^2/2$. Three <regular hexagons> meet around a vertex because $3(2\pi/3)=2\pi$, producing the familiar edge-to-edge <tessellation> of the <Euclidean plane>.
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