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 36 cm . Then
the angle in degrees which is subtended
at the centre of hoop is​

Answer 1

Answer:

30°(π/6)

Step-by-step explanation:

Radius of the circular wire =3 cm.

∴ Length of the circular wire = 2π × 3 = 6π cm

[Circumference = 2π r]

Radius of the hoop = 36cm.

Let θ be the angle subtended by the wire at the centre of the hoop. Then,

θ = arc/radius

θ =6π /36= π/6 = 30°