Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Kreiszahl} \qquad \pi \qquad [] \\ \text{Radius} \qquad r \qquad [m] \\ \text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ \text{Gesucht:} \\\text{Kreisbogen} \qquad b \qquad [m] \\ \\ b = \frac{2\cdot r\cdot \pi \cdot \alpha }{ 360}\\ \textbf{Gegeben:} \\ \pi=3,14 \qquad r=3m \qquad \alpha=30^{\circ} \qquad \\ \\ \textbf{Rechnung:} \\ b = \frac{2\cdot r\cdot \pi \cdot \alpha }{ 360} \\ \pi=3,14\\ r=3m\\ \alpha=30^{\circ}\\ b = \frac{2\cdot 3m\cdot 3,14 \cdot 30^{\circ} }{ 360}\\\\b=1,57m \\\\ \tiny \begin{array}{|l|} \hline r=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline alpha=\\ \hline 30 ° \\ \hline 1,8\cdot 10^{3} \text{'} \\ \hline 1,08\cdot 10^{5} \text{''} \\ \hline 33,3 gon \\ \hline 0,524 rad \\ \hline 0,000524 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 1,57 m \\ \hline 15,7 dm \\ \hline 157 cm \\ \hline 1,57\cdot 10^{3} mm \\ \hline 1,57\cdot 10^{6} \mu m \\ \hline 0,00157 km \\ \hline \end{array}$