Beispiel Nr: 08
$ \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=45^{\circ} \qquad \pi=3,14 \qquad r=25m \qquad \\ \\ \textbf{Rechnung:} \\ A = \frac{r^{2} \cdot \pi \cdot \alpha }{ 360} \\ \alpha=45^{\circ}\\ \pi=3,14\\ r=25m\\ A = \frac{(25m)^{2} \cdot 3,14 \cdot 45^{\circ} }{ 360}\\\\A=245m^{2} \\\\\\ \tiny \begin{array}{|l|} \hline alpha=\\ \hline 45 ° \\ \hline 2,7\cdot 10^{3} \text{'} \\ \hline 1,62\cdot 10^{5} \text{''} \\ \hline 50 gon \\ \hline 0,785 rad \\ \hline 0,000785 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline r=\\ \hline 25 m \\ \hline 250 dm \\ \hline 2,5\cdot 10^{3} cm \\ \hline 2,5\cdot 10^{4} mm \\ \hline 2,5\cdot 10^{7} \mu m \\ \hline 0,025 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline A=\\ \hline 245 m^2 \\ \hline 2,45\cdot 10^{4} dm^2 \\ \hline 2,45\cdot 10^{6} cm^2 \\ \hline 2,45\cdot 10^{8} mm^2 \\ \hline 2,45 a \\ \hline 0,0245 ha \\ \hline 0,000245 km^2 \\ \hline \end{array}$