~~~~regular polygon~~~~   Awaiting Review for Nickels Tagged with:  academic    posted on 22 Oct 2007 16:13:10 IST
Regular Polygon     Number of sides, all equal length a: n Number of interior angles, all equal measure beta: n Central angle subtending one side: alpha   Perimeter: P Area: K   Radius of circumscribed circle: R Radius of inscribed circle: r       beta = Pi(n-2)/n radians = 180o(n-2)/n alpha = 2 Pi/n radians = 360o/n alpha + beta = Pi radians = 180o   P = na = 2nR sin(alpha/2) K = na2 cot(alpha/2)/4     = nR2 sin(alpha)/2     = nr2 tan(alpha/2)     = na sqrt(4R2-a2)/4    R = a csc(alpha/2)/2 r = a cot(alpha/2)/2   a = 2r tan(alpha/2) = 2R sin(alpha/2)	About the Author: nivedh_89 (4548) Blazing goIITian  830   1  [1031 rates] total posts: 1232     Offline
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