Question

The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of the sector.

Answer 1

Let AOB be the given sector.

Given,

Radius of circle r = 5.2 cm

Perimeter of sector AOB = 16.4 cm

So, OA + OB + Arc AB = 16.4 cm

5.2 + 5.2 + Arc AB = 16.4 cm

Arc AB = 6 cm

l = Arc length AB

= 6 cm

Area of sector AOB = 1/2 * r * l

= 1 / 2 * 5.2 x 6

= 15.6 cm² Ans.

Answer 2

Answer:

15 .6

Step-by-step explanation:

r=5.2

perimeter =16.4

area of circle