Question

A sector of a circle of radius 4 cm contains an angle of 30°. Find the area of the sector.

Answer 1

Given, 

Radius of sector = 4 cm 

Angle of sector = 30° 

Area of sector = \(\frac{θ}{360°}\timesπr^2\)

= \(\frac{30}{360}\timesπ\times16\)

= \(\frac{1}{12}\timesπ\times16\) 

= \(\frac{4π}{3}\) cm²