Question

The perimeter of sector of circle of radius 4 cm is 16 cm. Find the area of the sector.​

Answer 1

Let AOB be the sector with O as center.

Given: Radius =r=5.2 cm

Perimeter of sector =16.4 cm

So, OA+AB+OB=16.4

⇒5.2+5.2+AB=16.4

⇒AB=6 cm

Area of sector =

2

1

rl

=

2

1

×5.2×6

=15.6 cm

2