# 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:

$D=46 \ \text{cm} \ \\ \ \\ α=30 ^\circ \rightarrow\ \text{rad}=30 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ =30 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ =0.5236=π/6 \ \\ \ \\ x=D \cdot \ α=46 \cdot \ 0.5236 \doteq 24.0855 \doteq 24.086 \ \text{cm}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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