Question

The area of a sector of a circle of radius $7cm$ and central angle ${120}^o$ is

• A. $152c{m}^2$
• B. $\frac{154}{3}c{m}^2$
• C. $\frac{128}{3}c{m}^2$
• D. $128c{m}^2$

Answer 1

Answer: (B)

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

Area$=\frac{120}{360}\times \pi r^2$

$=\frac{\pi }{3}\times 7\times 7=49\times \frac{\pi }{3}$

$=49\times \frac{22}{7\times 3}=\frac{154}{3}c{m}^2$