Question

Find the area of a sector in radians whose central angle is ${45}^o$ and radius is $2$.

• A. $\frac{\pi }{3}$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{2}$
• D. $\frac{\pi }{6}$

Answer 1

The correct option is C $\frac{\pi }{2}$

Given: $\theta ={45}^o$ r =2

Area of sector $=$ $\frac{\theta }{360}\pi r^2$
$\frac{{45}^o}{360}\pi 2^2$

= $\frac{\pi }{2}$