A circular sheet of radius 10cm is cut to from a sector of \(120^\circ\). What is the length of the arc of this sector?

Radius r = 10cm,  angle = \(120^\circ\)

Arc length formula:

$L=\frac{\theta}{360}\times 2\pi r$

$L=\frac{120}{360}\times 2\pi\times 10$

$L=\frac{1}{3}\times 20\pi$

$L=\frac{20\pi}{3}$ cm

Using $\pi=\frac{22}{7}$:

$L=\frac{20}{3}\times \frac{22}{7}$

$L=\frac{440}{21}$ cm

✅ Answer: $\frac{440}{21}$ cm