The angle of a sector is 30°. If its radius is 42 cm, then the length of the arc of the sector is:

Correct option is C

Given:

Angle of sector θ =$$30^\circ$$​​

Radius r = 42 cm

Formula Used:

Arc length = $$\frac{\theta}{360^\circ} \times 2\pi r$$​

Solution:

Arc length= $$\frac{30}{360} \times 2 \times \frac{22}{7} \times 42 = \frac{1}{12} \times 2 \times \frac{22}{7} \times 42 = \frac{1848}{84} = 22\ \text{cm}$$​