Example 4 - Minute hand of a watch is 1.5 cm long. How far - Examples

part 2 - Example 4 - Examples - Serial order wise - Chapter 3 Class 11 Trigonometric Functions
part 3 - Example 4 - Examples - Serial order wise - Chapter 3 Class 11 Trigonometric Functions

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Example 4 The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use Ο€ = 3.14). We know that 𝑙 = r ΞΈ Here, r = minute hand of clock = 1.5 cm Finding Angle πœƒ Now we know that Minute hand make 1 revolution in 1 hour Hence we can say that, Minute hand completes 360Β° in 1 hour So, Degree completed in 1 minute = πŸ‘πŸ”πŸŽ/πŸ”πŸŽΒ° Degree completed in 40 minute = 360/60 Γ— 40Β° = 240Β° Converting degree into radians ΞΈ = 240Β° = 240Β° Γ— 𝝅/(πŸπŸ–πŸŽΒ°) = πŸ’π…/πŸ‘ Putting values in formula ΞΈ "= " 𝑙/π‘Ÿ " " 𝒍 = r ΞΈ = 1.5 Γ— πŸ’π…/πŸ‘ = 0.5 Γ— 4πœ‹ = 2𝝅 = 2 Γ— 3.14 = 6.28 cm

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