Example 4 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 4 The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use ฯ = 3.14). We know that ๐ = r ฮธ Here, r = minute hand of clock = 1.5 cm Finding Angle ๐ Now we know that Minute hand make 1 revolution in 1 hour Hence we can say that, Minute hand completes 360ยฐ in 1 hour So, Degree completed in 1 minute = ๐๐๐/๐๐ยฐ Degree completed in 40 minute = 360/60 ร 40ยฐ = 240ยฐ Converting degree into radians ฮธ = 240ยฐ = 240ยฐ ร ๐ /(๐๐๐ยฐ) = ๐๐ /๐ Putting values in formula ฮธ "= " ๐/๐ " " ๐ = r ฮธ = 1.5 ร ๐๐ /๐ = 0.5 ร 4๐ = 2๐ = 2 ร 3.14 = 6.28 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo