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Ex 3.1, 4 - Find degree measure of angle subtended at centre

Ex 3.1, 4 - Chapter 3 Class 11 Trigonometric Functions - Part 2
Ex 3.1, 4 - Chapter 3 Class 11 Trigonometric Functions - Part 3

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Ex 3.1, 4 Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm . ("use " π" = " 22/7) Given 𝑙 = 22 cm r = 100 cm 𝜃 = ? We know that 𝑙 = r θ Putting value 22 = 100 × θ 22/100 = θ θ = 22/100 radians We need to find θ in degree, so converting into degrees We know that Radian measure = 𝜋/180 × Degree measure 22/100 = π/180 × Degree measure 22/100 = 22/180 × 1/7 × Degree measure 22/100 × 180/22 × 7 = Degree measure 126/10 = Degree measure Degree measure = 126/10 = 12° + (6°)/10 = 12° + ((6 × 60)/10)^′ = 12° + (360/10)^′ = 12° + 36’ = 12° 36’

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.