Question

Find the area of a sector of a circle of radius $28cm$ and central angle ${45}^{\circ }$.

• A. $616c{m}^2$
• B. $308c{m}^2$
• C. $508c{m}^2$
• D. $154c{m}^2$

Answer 1

The correct option is B $308c{m}^2$

Radius of sector $r=28cm$

Central angle $\theta ={45}^{\circ }$

Area of sector $=\frac{\theta }{360°}\times \pi r^2$

$=\frac{45°}{360°}\times \frac{22}{7}\times 28\times 28=308{cm}^2$