Question

A wire of 6cm radius is cut and bent so as to lie along the circumference of a hoop whose radius is 96cm.
Find the angle (in radians) substended at the centre of the hoop. ​

Answer 1

Answer:

Circumference of wire of Radius 6 cm = 2π x 6 = 12π

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  

12π = θ2π x 40/2π 

θ = 12π /40

θ = π/3.3 is the Answer