Question

What is the area of a sector with a central angle of 120° and radius 8 cm?

• A. 64∏/3 cm²
• B. 54∏/3 cm²
• C. 48 cm²
• D. 52 cm²

Answer 1

Answer:

A. 64∏/3 cm²

Area of a sector:

$\text{Area}=\frac{\theta}{360^\circ}\times \pi r^2$

Given:

• $(\theta = 120^\circ)$

• $(r = 8) cm$

$=\frac{120}{360}\times \pi \times 8^2$

$=\frac{1}{3}\times \pi \times 64$

$=\frac{64\pi}{3} {cm}^2$