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Certain inequalities concerning some kinds of chordal polygons. (English) Zbl 1056.51013
A polygon with vertices $$A_1,\dots,A_n$$ is called chordal if there exists a circle $${\mathcal K}$$ containing all points $$A_i$$, $$i \in \{ 1,\dots,n \}$$. Let $$C$$ denote the center of $${\mathcal K}$$ and $$\beta_j$$ the oriented angle between the lines $$C A_j$$ and $$A_j A_{j+1}$$.
The paper deals with certain goniometric inequalities involving the angles $$\beta_j$$.
##### MSC:
 51M04 Elementary problems in Euclidean geometries
chordal polygon
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