In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre.
Question:

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is
(a) 21 cm
(b) 22 cm
(c) 18.16 cm
(d) 23.5 cm

 

Solution:

We have $r=21 \mathrm{~cm}$ and $\theta=60^{\circ}$

Length of $\operatorname{arc}=\frac{\theta}{360^{\circ}} \times 2 \pi r=\frac{60^{\circ}}{360^{\circ}} \times 2 \times \frac{22}{7} \times 21=22 \mathrm{~cm}$

Hence, the correct answer is option (b)

 

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