Question

Find the area of corresponding major sector of a circle with radius 7 cm and angle 120${}^o$.

Answer 1

Area of sector of a circle of radius $r$ subtending an angle ${\theta }^o$ at the center is given by: $A=\frac{\theta }{360}\times \pi r^2$

$A\approx \frac{120}{360}\times \frac{22}{7}\times 7^2$ ($\because \pi \approx \frac{22}{7}$)

$A\approx \frac{154}{3}c{m}^2$