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Ex 3.1, 5 - In a circle of diameter 40 cm, length of a chord - Arc length

Ex 3.1, 5 - Chapter 3 Class 11 Trigonometric Functions - Part 2

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Ex3.1, 5 In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord. Given Diameter = 40 cm So, Radius = r = 20 cm In figure, AB =r= 20 cm AC =r= 20 cm BC =Length of chord = 20 cm So,AB = AC = BC = 20 cm Hence ABC is equilateral Hence BAC is 60 = 60 Hence = 60o = 60o /(180 ) = /3 Now Putting values in formula = r = 20 ( )/3 = (20 )/3 Hence, length of minor arc of chord is (20 )/3

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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.