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How far does the tip of a minute hand on a clock travel in 45 minutes if the distance from the center to the tip is 10 in? Leave your answer in terms of π.
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The minute hand of a clock is a circle with radius 10 in.
The circumference of the circle is 2πr, where r is the radius.
So, the distance the tip of the minute hand travels in one minute is:
2π(10 in) / 60 min = π/3 in/min
Therefore, the distance the tip of the minute hand travels in 45 minutes is:
(π/3 in/min) * 45 min = 15π in
Answer: The tip of the minute hand travels 15π inches in 45 minutes.
The circumference of the circle is 2πr, where r is the radius.
So, the distance the tip of the minute hand travels in one minute is:
2π(10 in) / 60 min = π/3 in/min
Therefore, the distance the tip of the minute hand travels in 45 minutes is:
(π/3 in/min) * 45 min = 15π in
Answer: The tip of the minute hand travels 15π inches in 45 minutes.
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