Question

A sector of a circle of radius $4\text{cm}$ contains an angle of $30$ ${}^{\circ }$. Find the area of the sector.

Answer 1

Area of sector$=\frac{\theta }{360°}\times \pi r^2=\frac{30°}{360°}\times \pi \times 4\times 4=\frac{4\pi }{3}c{m}^2$