Question

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

• A. 11.7 cm
• B. 14.7 cm
• C. 16.7 cm
• D. 15.7 cm

Answer 1

Answer: (D)

15.7 cm

Here, $\theta =\frac{\pi }{6},r=30cm$

As $\theta =\frac{l}{r}$

$\Rightarrow l=\theta r=\frac{\pi }{6}\times 30cm$

$=\frac{3.14}{6}\times 30cm=15.7cm$.