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Example 3 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 ) Given 𝑙 = 37.4 cm and θ = 60° Converting angle into radians We know that Radian measure = 𝝅/𝟏𝟖𝟎 × Degree measure = 𝜋/180 × 60 = 𝝅/𝟑 radian Now, θ "= " 𝑙/𝑟 " " 𝒓 = 𝒍/𝜽 = (𝟑𝟕. 𝟒)/(𝝅/𝟑) = (37. 4)/(22/(7 × 3)) = 35.7 cm

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo