34 , 47 {\displaystyle 34{,}47} Sekunden. ? Stunden?
34 , 47 : 60 : 60 = 0,009 575 ≈ 0,010 {\displaystyle 34{,}47:60:60=0{,}009575\approx 0{,}010\ } Stunden
5 Meile sind (ca.) 9 km. Wie viele km sind 0.37 Meile?
9 km x ⋯ ⋯ ↘ ⋅ ⋯ ⋯ 5 Meile :↑ 0 , 37 Meile x = 0,666 km {\displaystyle {\begin{matrix}9\ {\text{km}}\\{}\\x\end{matrix}}\quad {\begin{matrix}\cdots \cdots \\\searrow \cdot \\\cdots \cdots \end{matrix}}\quad {\begin{matrix}5\ {\text{Meile}}\\:\uparrow \\0{,}37\ {\text{Meile}}\end{matrix}}\quad x=0{,}666\ {\text{km}}}
360 ∘ = 2 π rad {\displaystyle 360^{\circ }=2\pi \ {\text{rad}}}
60 ∘ ? {\displaystyle 60^{\circ }\ {\text{?}}}
2 π rad x ⋯ ⋯ ↘ ⋅ ⋯ ⋯ 360 ∘ :↑ 60 ∘ x = π 3 rad {\displaystyle {\begin{matrix}2\pi \ {\text{rad}}\\{}\\x\end{matrix}}\quad {\begin{matrix}\cdots \cdots \\\searrow \cdot \\\cdots \cdots \end{matrix}}\quad {\begin{matrix}360^{\circ }\\:\uparrow \\60^{\circ }\end{matrix}}\quad x=\textstyle {\frac {\pi }{3}}\ {\text{rad}}}
0 , 7 Rad ? {\displaystyle 0{,}7\ {\text{Rad}}\ {\text{?}}}
360 ∘ x ⋯ ⋯ ↘ ⋅ ⋯ ⋯ 2 π rad :↑ 0 , 7 rad x = ( 126 π ) ∘ ≈ 40 , 1 ∘ {\displaystyle {\begin{matrix}360^{\circ }\\{}\\x\end{matrix}}\quad {\begin{matrix}\cdots \cdots \\\searrow \cdot \\\cdots \cdots \end{matrix}}\quad {\begin{matrix}2\pi \ {\text{rad}}\\:\uparrow \\0{,}7\ \ {\text{rad}}\end{matrix}}\quad x=\left({\tfrac {126}{\pi }}\right)^{\circ }\approx 40{,}1^{\circ }}
3 π ∘ ? {\displaystyle 3\pi ^{\circ }\ {\text{?}}}
2 π rad x ⋯ ⋯ ↘ ⋅ ⋯ ⋯ 360 ∘ :↑ 3 π ∘ x = 6 π 2 360 ≈ 0,164 5 rad {\displaystyle {\begin{matrix}2\pi \ {\text{rad}}\\{}\\x\end{matrix}}\quad {\begin{matrix}\cdots \cdots \\\searrow \cdot \\\cdots \cdots \end{matrix}}\quad {\begin{matrix}360^{\circ }\\:\uparrow \\3\pi ^{\circ }\end{matrix}}\quad x=\textstyle {\frac {6\pi ^{2}}{360}}\approx 0{,}1645{\text{rad}}}
