Question

The perimeter of a certain sector of a circle of radius $6.5cm$ is $31cm$. Find the area of the sector.

Answer 1

Perimeter of a sector of circle =$31cm$

Radius =$6.5cm$

Arc length = $31-(6.5+6.5)=18cm$

Now, Area of sector = $\frac{1}{2}\times Arclength\times radius=\frac{1}{2}\times 18\times 6.5=58.5c{m}^2$