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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 θ "= " 𝑙/𝑟 " " Putting values θ = 𝟐𝟐/𝟏𝟎𝟎 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.