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Last updated at Feb. 12, 2020 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 one hour In ๐ = ๐/๐ , ฮธ is in radians So, Degree completed in 1 minute = 360/60 Degree completed in 40 minute = 360/60 ร 40ยฐ = 240ยฐ Hence ฮธ = 240ยฐ = 240ยฐ ร ๐/(180ยฐ) = 4๐/3 Now Putting values in formula ๐ = r ฮธ (Radian measure = ๐/180 ร Degree measure ) = 1.5 ร 4๐/3 = 0.5 ร 4๐ = 2๐ = 2 ร 3.14 = 6.28 cm