Question

a cow is tied to a post by a rope 30 metre long if the cow moves along the circumference of a circle always keeping the Rope tied how far will it have gone when the Rope has raised an angle of 105​

Answer 1

Answer:

Step-by-step explanation:25 meter

Answer 2

• When the rope has traced an angle of 105°, a cow will have gone 55 m far.

Step-by-step explanation:

Given that:

• A cow is tied to a post by a rope 30 m long.
• The cow moves along the circumference of a circle always keeping the rope tight.
• The rope has traced an angle of 105°.

To Find:

• How far will it have gone when the rope has traced an angle of 105°?

Formula used:

1. Length of an arc = 2πrθ/360°
2. Length of an arc = (2 × 22 × rθ)/(7 × 360°)

Where,

• θ = Angle formed by an arc
• r = Radius of a circle

We have:

• θ = 105°
• r = 30 m

Finding the distance covered by a cow:

⟶ Length of an arc = (2 × 22 × 30 × 105)/(7 × 360)

⟶ Length of an arc = 138600/2520

⟶ Length of an arc = 55

∴ The distance covered by a cow = 55 m.