Question

The radius of a circle is $6$cm.The angle subtended by an arc of the circle at the centre is ${60}^{\circ }$.Find the length of the arc.

Answer 1

Given that,$r=6$cm and $\theta ={60}^{\circ }$

$\therefore \theta ={60}^{\circ }=60\times \frac{\pi }{180}={\frac{\pi }{3}}^c$

Length of the arc$=l=r\theta$

$=6\times \frac{\pi }{3}$

$=2\pi$

$=2\times \frac{22}{7}=\frac{44}{7}\approx 6.28$cm