Question

If $\theta ={60}^{\circ }$, what would be the value of area of the sector of the circle of radius $r$?

• A. $\pi r^2$
• B. $\frac{1}{3}\pi r^2$
  
• C. $\frac{1}{6}\pi r^2$
  
• D. $\frac{1}{2}\pi r^2$
  

Answer 1

The correct option is C $\frac{1}{6}\pi r^2$


Given $\theta ={60}^{\circ }$.
Area of a sector $=\frac{\theta }{{360}^{\circ }}\times \pi r^2$

Area of a sector $=\frac{{60}^{\circ }}{{360}^{\circ }}\times \pi r^2$

Area of a sector $=\frac{1}{6}\times \pi r^2$