Question

Two wires a and b are length of 40 cm and 30 cm is bent into a circle of radius r and b into a arc of radius r

Answer 1

Answer:

r=45cm

Explanation:

Answer 2

Answer:

r = 6.36 cm

Explanation:

As per the question,

Length of wire a = 40 cm

Length of wire b = 30 cm

As the wire a is bent into a circle.

Therefore, perimeter of circle = length of the wire a

Formula for perimeter of circle = 2πr

Where r is the radius.

Perimeter of circle = length of the wire a

⇒ 2πr = 40

r = 6.36 cm

Now, the second wire is bent into a arc of radius r.

Arc length = rθ

∴ rθ = 30

θ = 4.71.