\begin{tikzpicture}
          \clip(0,0) circle (2.3cm);
          \tkzDefPoint(0,0){o}
          \tkzDefPoint(2,0){a}
          \tkzDefPoint(70:2){u}
          \tkzDefPoint(250:2){u1}
          \tkzDefPoint(340:2){v}
          \tkzDefPoint(160:2){v1}
          \draw(u1)--(u);
          \draw(v1)--(v);
          \tkzDrawCircle[dashed, color=blue](o,a)
          \tkzDrawPoint[fill=red](o)
          \tkzDrawPoints[fill=white](u,v)
          \tkzLabelPoint[above](u){\(u\)}
          \tkzLabelPoint[right](v){\(v\)}
          \tkzLabelPoint[below left](o){\(0\)}
          \tkzDefLine[perpendicular=through u,K=1](o,u)\tkzGetPoint{x1}
          \tkzDefLine[perpendicular=through v,K=1](o,v)\tkzGetPoint{x2}
          \tkzInterLL(u,x1)(v,x2)\tkzGetPoint{c}
          \tkzClipCircle(o,a)
          \tkzDrawCircle(c,u)
          \tkzDrawPoints[fill=white](u,v)
          \draw (30:1) node{\(L\)};
\end{tikzpicture}