Question

Find the length of the arc of a circle of diameter 12 cm subtending an angle of ${60}^{\circ }$ at the center.

Answer 1

Given radius of circle = 6 cm

cycle substended at center = ${60}^{\circ }$

Now,

length of arc of circle = $2\pi r\times \frac{\theta }{360}$

$=2\pi \times 6\times \frac{60}{360}$

$=2\pi =2\times 3.14$

length of arc $\Rightarrow 6.28cm$

Hence length of arc is 3.28 cm