Question

If an arc 24π cm long of a wheel subtended an
angle of 72° at its centre, then the radius of
the wheel is
50 cm
40 cm
30 cm
60 cm​

Answer 1

The radius of  the wheel is 60 centimetres.

Step-by-step explanation:

The angle of the given by the formula:

∠ = (Arc)/(Radius)

Where,

∠ = 72° = 72/180 × π = 2π/5 Radian (Given)

Arc = 24π cm (Given)

On substituting the values, we get,

2π/5 = 24π/(Radius)

Radius = 24π × 5/2π

Radius = 12 × 5

∴ Radius = 60 cm