Find, in terms of π, the length of the arc that subtends an angle of

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

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

Answer»

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