Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use 22π/7).

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Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use 22π/7).

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Solution :

Here l = 37.4 cm and θ = 60° = 60π/180 radian = π/3
Hence, by r = l/θ, we have
r = 37.4×3/π = 37.4×3×7/ 22 = 35.7 cm