Question

(i) If the angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm,
is radians, find theta

(ii) Find the angle subtended above in degree (use pi value=22/7)​

Answer 1

Answer:

Given

⇒ Length of an arc =

3

5π

cm

⇒ r=5cm

⇒ Length of an arc =

360

o

θ

(2πr)

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

∴

3

5π

=

360

o

θ

×2π×5

∴ θ=

6

360

o

∴ θ=60

o