Question

A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm find the angle in degrees which is subtended at the centre of hoop

Answer 1

Circumference of wire of Radius 3 cm = 2π x 3 = 6π

Now because this wire is cut and placed along circle with a radius of 40 cm

PQ will be the length which will be acquired by this circle

it is known that the length of the arc is θ2πr/2π

now we will put the values in it  

6π = θ2π x 40/2π 

θ = 6π /40

θ = π/6.6 is the Answer

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Answer 2

first find ilthe circumference of both.then subract the smaller from the larger. now use the formula:-
l=the difference we calculated
r=48
thus we have all the values just substitute everything and lo!!! here we get the answer !!