Question

Q.5 Solve the following:
6
1. The area of a sector of a circle of 6 cm radius is 157 sq.cm. Find the measure of the arc and
length of the arc corresponding to the sector.​

Answer 1

Answer:

Area of sector =15πcm

2

Area of sector =

360

θ

×πr

2

Hence,

15π=

36

θ

×π×6×6

⇒θ=150

Length of are =

360

θ

×2πr

=

360

150

×2×π×6

=5πcm