Question

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

Answer 1

Arc length$=\frac{\theta }{360°}\times 2\pi r=\frac{72}{360°}\times 2\times \frac{22}{7}\times 35=44cm$

Area of sector$=\frac{\theta }{360°}\times \pi r^2=\frac{72}{360°}\times \frac{22}{7}\times 35\times 35=770c{m}^2$