Question

In a circle of radius 35 cm, an arc subtends an angle of ${72}^{\circ }$ at the centre. Find the length of the arc and area of the sector.

Answer 1

Length of the arc $=2\pi r\times \frac{\theta }{{360}^o}$

$=2\times \frac{22}{7}\times 35\times \frac{72}{360}$

$=44cm$​

Now, area of the sector $=\pi r^2\times \frac{\theta }{{360}^o}$

$=\frac{22}{7}\times 35\times 35\times \frac{72}{360}$

$=770c{m}^2$