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Example 3 - Chapter 3 Class 11 Trigonometric Functions

Last updated at June 22, 2023 by

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.