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°?

Correct answer:

x =  24.0855 cm

Step-by-step explanation:

$$\begin{gathered} D=46\text{ cm } \\ \alpha =30^{\circ }\to \text{ rad}=30^{\circ }\cdot {\displaystyle \frac{\pi }{180}}=30^{\circ }\cdot {\displaystyle \frac{3.1415926}{180}}=0.5236=\pi \mathrm{/}6 \\ x=D\cdot \alpha =46\cdot 0.5236=24.0855\text{ cm} \end{gathered}$$

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