Question

11. A sector is cut from a circle of radius 21 cm. The angle of the sector is
150. Find the length of the arc and the area of the sector.​

Answer 1

Answer:

The length of arc l and area A of a sector of angle θ in a circle of radius r are given by,

l=

360

o

θ

×2πr

and A=

360

o

θ

×πr

2

respectively.

Here, r=21 cm and θ=150

0

∴l=

360

150

×2×

7

22

×21=55 cm

and

A=

36

150

×

7

22

×21

2

=

2

1155

=577.5 cm

2