The central

The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.

Correct result:

p =  7.854 m

Solution:

$$\begin{gathered} \alpha =30^{\circ }\to \text{ rad}=30^{\circ }\cdot {\displaystyle \frac{\pi }{180}}=30^{\circ }\cdot {\displaystyle \frac{3.1415926}{180}}=0.5236=\pi \mathrm{/}6 \\ r=15\text{ m } \\ p=\alpha \cdot r=0.5236\cdot 15=7.854\text{ m} \end{gathered}$$

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