Find, in terms of π, the length of the arc that subtends an angle of 30° at the centre of a circle of radius 4 cm.
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Answer:
The length of Arc is 2π/3 cm .
Step-by-step explanation:
Given :
Angle subtended by an Arc , θ = 30°
Radius of circle, r = 4 cm
Length of Arc, l = (θ/360) × 2πr
l = (30°/360°) × 2 × π × 4
l = (1/12) × 8π
l = 8π/12
l = 2π/3 cm
Length of Arc, l = 2π/3 cm
Hence, the length of Arc is 2π/3 cm .
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