Question
Download Solution PDFHow far will the tip of a 2 cm-long minute hand of a clock move in 45 minutes?
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 = [(2π × 45)/60]c
⇒ (3π/2)c
⇒ r = 2 cm and θ =
(3π/2)c
⇒ l = r × θ
⇒ l = 2 × (3π/2)c
⇒ l = 3π
∴ The required answer is 3π cm.
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