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This paper presents a general method for obtaining radius of thecorresponding circumference to a cyclical polygon $n$ sides given the lengthsof said sides, using the notion of complex number. As of radius $r$, obtained,can then be calculated polygon area in question applying known expressionswhich requires, after $n=4$, a powerful calculation tool. Are also given likeelements regarding non convex polygons cyclic, although in this respect itdeepens less and is not considered, course, the calculation of areas.

General method of Complex Polynomial for determining the radius of the  circle circumscribed to a cyclic polygon an arbitrary number of sides, and  some important consequences