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Question: What is the length of the arc of circle of radius 30 cm which subtend an angle \(\frac{\pi}{6}\) at ...

What is the length of the arc of circle of radius 30 cm which subtend an angle π6\frac{\pi}{6} at the centre?

A

11.7 cm

B

14.7 cm

C

16.7 cm

D

15.7 cm

Answer

15.7 cm

Explanation

Solution

Here, θ=π6,r=30cm\theta = \frac{\pi}{6},r = 30cm

As,θ=lrl=θr\theta = \frac{l}{r} \Rightarrow l = \theta r

=π6×30cm=3.146×30cm=15.7cm= \frac{\pi}{6} \times 30cm = \frac{3.14}{6} \times 30cm = 15.7cm