Beispiel Nr: 02
$ \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=2m^{2} \qquad r=4m \qquad \\ \\ \textbf{Rechnung:} \\ \alpha = \frac{A\cdot 360}{r^{2} \cdot \pi } \\ \pi=3,14\\ A=2m^{2}\\ r=4m\\ \alpha = \frac{2m^{2}\cdot 360}{(4m)^{2} \cdot 3,14 }\\\\\alpha=14,3^{\circ} \\\\ \tiny \begin{array}{|l|} \hline A=\\ \hline 2 m^2 \\ \hline 200 dm^2 \\ \hline 2\cdot 10^{4} cm^2 \\ \hline 2\cdot 10^{6} mm^2 \\ \hline 0,02 a \\ \hline 0,0002 ha \\ \hline 2\cdot 10^{-6} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline r=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline alpha=\\ \hline 14,3 ° \\ \hline 859 \text{'} \\ \hline 5,16\cdot 10^{4} \text{''} \\ \hline 15,9 gon \\ \hline 0,25 rad \\ \hline 0,00025 mrad \\ \hline \end{array}$