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\ANG{
{\bf Berechnung von Kreisfiguren}

\begin{center}
\includegraphics[width=16cm]{14im048p1} 
\includegraphics[width=16cm]{14im048p2} 
\end{center}
}

Quelle: mathematik lehren (1986), H. 14, S. 22-25

\LSG{
\begin{center}
\begin{tabular}{|c|l|l|}
\hline
 & $A$ & $U$ \\
\hline
1 & $\frac{1}{2}\pi r^{2}$ & $2\pi r$ \\
\hline
2 & $4r^{2}-\pi r^{2}$ & $2\pi r$ \\
\hline
3 & $2 r^{2}$ & $2\pi r$ \\
\hline
4 & $\frac{1}{2}\pi r^{2}$ & $3\pi r$ \\
\hline
5 & $2r^{2}$ & $2\pi r$ \\
\hline
6 & $\frac{1}{16}\pi r^{2}$ & $\frac{5}{4}\pi r+r$ \\
\hline
7 & $\frac{1}{4}\pi r^{2}$ & $2\pi r$ \\
\hline
8 & $\frac{3}{8}\pi r^{2}$ & $2\pi r$ \\
\hline
9 & $\frac{9}{16}\pi r^{2}$ & $2\pi r$ \\
\hline
10 & $\frac{1}{3}\pi r^{2}$ & $2\pi r$ \\
\hline
11 & $\frac{1}{3}\pi r^{2}$ & $2\pi r$ \\
\hline
12 & $\sqrt{2}\pi r^{2}-\pi r^{2}-r^{2}$ & $3\pi r-\sqrt{2}\pi r$ \\
\hline
13 & $r^{2}$ & $\pi r+\frac{1}{2}\pi \sqrt{2}r$ \\
\hline
14 & $\frac{19}{12}\pi r^{2}-\sqrt{3}r^{2}$ & $\frac{7}{3}\pi r$ \\
\hline
15 & $\frac{9}{2}r^{2}-\frac{1}{4}\pi r^{2}$ & $\frac{5}{2}\pi r+\sqrt{2} r$ \\
\hline
16 & $\frac{5}{2}\pi r^{2}-r^{2}$ & $3\pi r$ \\
\hline
17 & $\frac{5}{8}\pi r^{2}$ & $3\pi r$ \\
\hline
18 & $\frac{3}{8}\pi r^{2}$ & $3\pi r$ \\
\hline
\end{tabular}
\end{center}
}
