Central angle

What is the length of the arc of a circle with a diameter of 46 cm, which belongs to a central angle of 30°?

Result

x =  24.086 cm

Solution:

D=46 cm  α=30∘→ rad=30∘⋅ π180 =30∘⋅ 3.1415926180 =0.5236=π/6  x=D⋅ α=46⋅ 0.5236≐24.0855≐24.086 cmD=46 \ \text{cm} \ \\ \ \\ α=30 ^\circ \rightarrow\ \text{rad}=30 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ =30 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ =0.5236=π/6 \ \\ \ \\ x=D \cdot \ α=46 \cdot \ 0.5236 \doteq 24.0855 \doteq 24.086 \ \text{cm}

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