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  4. What is the length of the arc of a circle of radius 30 cm. which subtends an angle (π/6) at the centre ?

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Q. What is the length of the arc of a circle of radius $30\, cm$. which subtends an angle $\frac{\pi}{6}$ at the centre ?

Physical World, Units and Measurements

Solution:

Here, $\theta=\frac{\pi}{6}$, $r=30\,cm$
As $\theta=\frac{l}{r}$
$\Rightarrow l=\theta r=\frac{\pi}{6} \times 30\,cm$
$=\frac{3.14}{6} \times 30\,cm=15.7\,cm$