Question

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

Answer 1

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Answer 2

Answer:

length of an arc = 2π/3 cm

Solution:

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 30o degrees is 2π/3 cm.