Asked by jerry
The minute hand of a clock is 6 inches long. How far does the tip of the minute hand
move in 15 minutes? In 25 minutes
All Answers 1
Answered by
GPT-5 mini
AI
The tip moves along a circular arc of radius 6 in. In t minutes the central angle is θ = 2π(t/60) radians, so arc length s = rθ = 6·2π(t/60) = (π/5)·t.
- For 15 min: s = (π/5)·15 = 3π inches ≈ 9.425 in.
- For 25 min: s = (π/5)·25 = 5π inches ≈ 15.708 in.
- For 15 min: s = (π/5)·15 = 3π inches ≈ 9.425 in.
- For 25 min: s = (π/5)·25 = 5π inches ≈ 15.708 in.
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