Question
Download Solution PDFThe minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The minute hand of a watch is 2 cm long.
Formula Used:
Arc length, l = r × θ
l = arc length (in radian)
r = radius
θ = central angle in radian
1° = πc/180
Calculation:
We know that,
Angle traced by the minute hand in 60 min = (2π)c
Angle traced by the minute hand in 45 min = \((\frac{2π}{60} × 45)^c = (\frac{3 π}{2})^c\)
⇒ r = 2 cm and θ = \((\frac{3 π}{2})^c\)
⇒ l = r × θ
⇒ l = \((2 × \frac{3 π}{2})\)
⇒ l = 3 π
⇒ l = 3 × 3.14
⇒ l = 9.42
∴ It tip moves 9.42 in 45 minutes.
Last updated on Jul 16, 2025
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