Beispiel Nr: 04
$ \text{Gegeben:}\\\text{Kreiszahl} \qquad \pi \qquad [] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Radius} \qquad r \qquad [m] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ \alpha = \frac{A\cdot 360}{r^{2} \cdot \pi }\\ \textbf{Gegeben:} \\ \pi=3,14 \qquad A=35m^{2} \qquad r=5m \qquad \\ \\ \textbf{Rechnung:} \\ \alpha = \frac{A\cdot 360}{r^{2} \cdot \pi } \\ \pi=3,14\\ A=35m^{2}\\ r=5m\\ \alpha = \frac{35m^{2}\cdot 360}{(5m)^{2} \cdot 3,14 }\\\\\alpha=160^{\circ} \\\\ \tiny \begin{array}{|l|} \hline A=\\ \hline 35 m^2 \\ \hline 3,5\cdot 10^{3} dm^2 \\ \hline 3,5\cdot 10^{5} cm^2 \\ \hline 3,5\cdot 10^{7} mm^2 \\ \hline 0,35 a \\ \hline 0,0035 ha \\ \hline 3,5\cdot 10^{-5} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline r=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline 0,005 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline alpha=\\ \hline 160 ° \\ \hline 9,63\cdot 10^{3} \text{'} \\ \hline 5,78\cdot 10^{5} \text{''} \\ \hline 178 gon \\ \hline 2,8 rad \\ \hline 0,0028 mrad \\ \hline \end{array}$