Question

In a circle of radius $21cm$, an arc subtends an angle of ${60}^o$ at the centre. Find
area of the segment formed by the corresponding chord

Answer 1

Area of shaded part $={\pi r}^2\times \frac{60}{360}-\frac{\sqrt{3}}{4}{r}^2$

$\Rightarrow \frac{22}{7}\times 21\times 21\times \frac{1}{6}-\frac{\sqrt{3}}{4}\times {21}^2$

$\Rightarrow 231-190.96$

$\Rightarrow 40.04{cm}^2$