Find the degree measure of the angle subtended at the centre of a circle of radius

Length of the arc = 22 cm

Radius = 100 cm

Now,

$\theta=\frac{\text { Arc }}{\text { Radius }}$

$=\frac{22}{100}$

$=\frac{11}{50}$ radian

$\therefore$ Angle subtended at the centre by the arc $=\left(\frac{11}{50} \times \frac{180}{\pi}\right)^{\circ}=\left(\frac{11}{5} \times \frac{18}{22} \times 7\right)^{\circ}=\left(\frac{63}{5}\right)^{\circ}=12^{\circ} 36^{\prime}$