Question

If the area of ​​a circle of a circle is 20 π cm and the length of the arc corresponding to it is 56 cm, then the radius of the circle is cm​

Answer 1

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

please mark me as brainly......

Answer 2

hope this answer helps you....

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 =2cm