Nick
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\documentclass[12pt]{exam}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{calc,through,backgrounds}
\begin{document}
\begin{tikzpicture}[scale=2]
\coordinate [label=below:$O$] (O) at (0,0);
\coordinate [label=left:$B$] (B) at (-2,0);
\coordinate [label=right:$C$] (C) at (2,0);
\coordinate [label=below:$A$] (A) at (0,-2);
[b] \coordinate [label=left:$D$] (D) at (-1.96,-2);
\coordinate [label=left: $E$] (E) at (1.95,-2);[/b]
\node[draw,circle through=(B)] at (O) {};
\filldraw[black](A) circle (1pt);
\filldraw[black](B) circle (1pt);
\filldraw[black](O) circle (1pt);
\filldraw[black](C) circle (1pt);
\draw (B)--(D)--(E)--(C);
\draw (B)--(O)--(C);
\end{tikzpicture}
\end{document}
Nick