Beispiel Nr: 02
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Kreiszahl} \qquad \pi \qquad [] \\ \text{Radius} \qquad r \qquad [m] \\ \\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\ \\ A = \frac{r^{2} \cdot \pi \cdot \alpha }{ 360}\\ \textbf{Gegeben:} \\ \alpha=34^{\circ} \qquad \pi=3,14 \qquad r=5m \qquad \\ \\ \textbf{Rechnung:} \\ A = \frac{r^{2} \cdot \pi \cdot \alpha }{ 360} \\ \alpha=34^{\circ}\\ \pi=3,14\\ r=5m\\ A = \frac{(5m)^{2} \cdot 3,14 \cdot 34^{\circ} }{ 360}\\\\A=7,42m^{2} \\ \small \begin{array}{|l|} \hline alpha=\\ \hline 34 ° \\ \hline 2,04\cdot 10^{3} \text{'} \\ \hline 1,22\cdot 10^{5} \text{''} \\ \hline 37,8 gon \\ \hline 0,593 rad \\ \hline 0,000593 mrad \\ \hline \end{array}\\ \small \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}\\ \small \begin{array}{|l|} \hline A=\\ \hline 7,42 m^2 \\ \hline 742 dm^2 \\ \hline 7,42\cdot 10^{4} cm^2 \\ \hline 7,42\cdot 10^{6} mm^2 \\ \hline 0,0742 a \\ \hline 0,000742 ha \\ \hline 7,42\cdot 10^{-6} km^2 \\ \hline \end{array}\\$