\begin{tikzpicture}
\clip(0,0) circle (2cm);
\tkzDefPoint(0,0){o}
\tkzDefPoint(2,0){a}
\tkzDefPoint(240:1.6){p}
\tkzDefPoint(130:.8){u}
\tkzDefPoint(20:1.4){v}
\tkzDrawCircle[dashed, color=blue](o,a)
\hypsegment{p}{u}{o}{a}
\hypsegment{v}{p}{o}{a}
\hypsegment{u}{v}{o}{a}
\tkzDrawPoints[fill=red](p,u,v)
\draw (130:.44) node{$\gamma$};
\draw (240:1) node {$\beta$};
\draw (20:.8) node {$\alpha$};
\draw (-.6,-.2) node{$a$};
\draw (.3,.7) node{$b$};
\draw (.2,-.6) node{$c$};
\end{tikzpicture}