Question

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Q.No.2: Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).

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Answer 1

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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 × 3)/π

➪= (37.4 × 3 × 7)/22

➪= 35.7cm

➪Hence, the radius of the circle is 35.7cm.

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Answer 2

solution

Here l = 37.4 cm, θ = 60° = π/3 rad But r = l/θ = (37.4 x 3)/π = (34.4 x 3 x 7)/22 = 35.7cm

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