Question

The arc of a circle makes an angle 30 degree and 40minutes at its centre. The radius of the circle is 14 m, what is the arc length?

1)7.49m

2)7.33m

3)7.35m

4)7.56m​

Answer 1

Answer:

⇒  θ=30o and r=4cm

⇒  Length of an arc =360oθ(2πr)

Where, θ is angle subtended at a center.

             2πr is circumference of a circle.

⇒ Length of an arc =360o30o×2π×4

⇒ Length of an arc =12/2π×4

∴  Length of an arc =3/2π