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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 86 (Section 12.2.3 : Example of Andrew Mertz)
\begin{tikzpicture}[scale=.5]
\tkzDefPoint(100:8){A}\tkzDefPoint(50:8){B}
\tkzDefPoint(0,0){C} \tkzDefPoint(0,4){R}
\tkzDrawCircle(C,R)
\tkzDefTangent[from = A](C,R) \tkzGetPoints{D}{E}
\tkzDefTangent[from = B](C,R) \tkzGetPoints{F}{G}
\tkzDrawSector[fill=blue!80!black,opacity=0.5](A,D)(E)
\tkzFillSector[color=red!80!black,opacity=0.5](B,F)(G)
\tkzInterCC(A,D)(B,F) \tkzGetSecondPoint{I}
\tkzDrawPoint[color=black](I)
\end{tikzpicture}
\end{document}
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