Question

a circular wire is cut and place along the hoop of a circle of 3 times the rasius.find the angle made between the centre of hoop​

Answer 1

Answer:

79

Step-by-step explanation:

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Answer 2

Answer:  120° or 2π/3 radians

Step-by-step explanation:

Let the radius of the 1st circle be r

According to the question, radius of 2nd circle = 3r

The 1st circle is cut and placed on the hoop of 2nd circle, i.e

2πr(length of circle) = length of arc(hoop)   ⇒2πr = l  

But we know that when θ is in radians,

length of arc(l) = radius(r) × θ    { l = rθ }

∴ θ = l/r    ⇒ 2πr/3r   ⇒ 2π/3 radians

1 radian = 180°/π      

∴ 2π/3 radians = 120°