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arXiv · 1512.06183

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

Denis Martínez Tápanes·J. Enrique Martínez Serra·L. Osiel Rodríguez Cañizarez
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Abstract

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

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Denis Martínez Tápanes, J. Enrique Martínez Serra, L. Osiel Rodríguez Cañizarez. 2015-12-19. 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. https://arxiv.org/abs/1512.06183

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