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

Given that circular wire is of radius 3 cm, so when it is cut then its length = 2π × 3 = 6π cm. Again, it is being placed along a circular hoop of radius 48 cm.

Here, * = 6π cm is the length of arc and r = 48 cm is the radius of the circle. Therefore, the angle θ, in radian, subtended by the arc at the centre of the circle is given by