show that the area of a regular n-gon inscribed in a circle to the area of a regular n-gon circumscribing the same circle is cos^2(pi/n) : 1
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Originally Posted by darandoma show that the area of a regular n-gon inscribed in a circle to the area of a regular n-gon circumscribing the same circle is cos^2(pi/n) : 1 area of triangular sections from each n-gon ... red area = red area + blue area = ratio ...
thanks for commenting but why does red area + blue area = r^2tan(pi/n) ?
Originally Posted by darandoma thanks for commenting but why does red area + blue area = r^2tan(pi/n) ? look at the upper large right triangle (half of the entire large triangular section of the circumscribed n-gon)... angle = adjacent side = opposite side = area of upper right triangle = double that ...
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