\ANG{
%
%%\item                    
%
\begin{minipage}[t]{9cm}
Das abgebildete "`Osterei"'   besteht aus Kreisb"o\-gen, deren Mittelpunkte
$A$, $B$, $C$ und $M$ und deren Radien durch das gleichschenklig-rechtwinklige 
Dreieck $ABC$ festgelegt sind.
\begin{enumerate}
\item
Berechnen Sie die Radien $\overline{BD}$ und $\overline{CD}$ \ der Kreisb"ogen
um $B$ bzw. $C$ in Ab\-h"angig\-keit von $\overline{AM} = r$.
\item
Berechnen Sie den Fl"acheninhalt des "`Os\-tereies"'.
\end{enumerate}
\end{minipage}
\hskip 0.5 cm
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\LSG{
  \begin{enumerate}
  \item
    $\overline{BD} = 2r$ und $\overline{CD} =(2-\sqrt{2})r$
  \item
    \begin{eqnarray*}
    \lefteqn{  {1 \over 2} \pi r^2 + \left( 2 \cdot {1 \over 8} \pi (2r)^2 -r^2 \right)} \\
         +&& {1 \over 4} \pi \left[ (2 -\sqrt{2}) r \right]^2 \\
         =&&[(3-\sqrt{2})\pi-1]r^2 \approx3{,}98r^2
    \end{eqnarray*}
    \end{enumerate}
}   

%\hfill
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