Question

Find, in terms of π, the length of the arc that subtends an angle of 30^o at the centre of a circle of radius of 4 cm. 

Answer 1

Given,

Radius = 4 cm

Angle subtended at the centre ‘O’ = 30°

We know that,

Length of arc = θ/360 × 2πr cm

Length of arc = 30/360 × 2π∗4 cm = 2π/3 cm

Thus, the length of arc that subtends an angle of 30^o degrees is 2π/3 cm