Question

The area of sector of circle of radius $14cm$ subtending an angle of ${30}^{\circ }$ is

Answer 1

The angle subtended at center of circle is ${30}^{\circ }$

The radius of circle is $14cm$

If $\theta$ is the angle subtended at the center of circle having radius $r$ then area of the sector is given as,

$A=\frac{\theta }{{360}^o}\times \pi r^2$

According to the given condition,the Area of sector is given as

$A=\frac{30}{360}\times \frac{22}{7}\times 14\times 14=\frac{1}{12}\times 22\times 2\times 14=\frac{1}{3}\times 11\times 14=\frac{154}{3}=51.3c{m}^2$