Question

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

Answer 1

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

Answer 2

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Given,

Length of the arc = l = 37.4 cm

Central angle = θ = 60° = 60π/180 radian = π/3 radians

We know that,

r = l/θ

= (37.4) * (π / 3)

= (37.4) / [22 / 7 * 3]

= 35.7 cm

Hence, the radius of the circle is 35.7 cm

Hope it's Helpful....:)