
doi: 10.2307/3616688
Why is such a nice result rarely, if ever, found in texts? Perhaps because it is usually necessary to use trigonometry to calculate the areas of regular polygons. A regular n-gon inscribed in a unit circle has an area n times that of the isosceles triangle having an edge as base and the centre as apex; that is, area of regular n -gon = n × (1/2. 1.1. sin (360/n) ° ) = 1/2n sin (360/n) ° .
Polyhedra and polytopes; regular figures, division of spaces, Geometric constructions in real or complex geometry, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Dodecagon Inscribed in Unit Circle, Kurschak's Title
Polyhedra and polytopes; regular figures, division of spaces, Geometric constructions in real or complex geometry, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Dodecagon Inscribed in Unit Circle, Kurschak's Title
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