Question

3) the radius of circle is 28 cm. The angle subtended by an arc of the circle at the center is 45°. find the length of the arc ​

Answer 1

Answer:

⇒ θ=30

o

and r=4cm

⇒ Length of an arc =

360

o

θ

(2πr)

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

⇒ Length of an arc =

360

o

30

o

×2π×4

⇒ Length of an arc =

12

2π×4

∴ Length of an arc =

3

2π