Question

What is the area of a sector with radius 6" and measure of arc equal to 120°?

Answer 1

GIVEN :-

radius of circle = 6cm

arc of the sector = 120°

TO FIND :- Area of the sector

SOLUTION :-

$ar(sector) = \frac{ \theta}{360} \times \pi {r}^{2} \\ \\ = \frac{120}{360} \times \frac{22}{7} \times 6 \times 6 \\ \\ = \frac{1}{3} \times \frac{22}{7} \times 36 \\ \\ = \frac{22 \times 12}{7} \\ \\ = \frac{264}{7} \\ \\ = \boxed{37.71cmsq}$

The area of the sector is 37.71cmsq. [Approx]