Question

The perimeter of sector of circle of area 25pai sq.cm is 20cm. Find the area of sector

Answer 1

Answer:

since area of circle=25π sq.cm

⇒πr

2

=25π

⇒r=5cm

and perimeter of sector=20 cm

⇒2r+s=20

⇒2.5+s=20

⇒s=10 cm

where s = arc lenth of sector

∵θ=

r

s

=

5

10

=2

area of sector=

360

o

θ

.πr

2

=

2π

2

.π5

2

=25 cm

2