sector

Il est possible de modifier et de compiler cet exemple :

\documentclass[border=10pt]{standalone}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}[scale=.4]
\tkzDefPoints{-1/-2/A,1/3/B}
\tkzDefRegPolygon[side,sides=6](A,B)
\tkzGetPoint{O}
\tkzDrawPolygon[fill=black!10, draw=blue](P1,P...,P6)
\tkzLabelRegPolygon[sep=1.05](O){A,...,F}
\tkzDrawCircle[dashed](O,A)
\tkzLabelSegment[above,sloped,
midway](A,B){\(A B = 16m\)}
\foreach \i [count=\xi from 1] in {2,...,6,1}
{%
\tkzDefMidPoint(P\xi,P\i)
\path (O) to [pos=1.1] node {\xi} (tkzPointResult) ;
}
\tkzDefRandPointOn[segment = P3--P5]
\tkzGetPoint{S}
\tkzDrawSegments[thick,dashed,red](A,S S,B)
\tkzDrawPoints(P1,P...,P6,S)
\tkzLabelPoint[left,above](S){$S$}
\tkzDrawSector[R with nodes,fill=red!20](S,2)(A,B)
\tkzLabelAngle[pos=1.5](A,S,B){$\alpha$}
\end{tikzpicture}
\end{document}
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