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

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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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) 𝑙 = 22 cm r = 100 cm 𝜃 = ? We now 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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