A flea sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far does the flea travel in a day?

Question

Anahi Keller

Mathematics

10 December, 02:37

A flea sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far does the flea travel in a day?

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Deandre Ashley · Answer 1

In one day, there are 24 hours, and each hour has 60 minutes, so the minute hand makes 24*60 = 1440 full circles in one day. For each circle, the tip of the minute hand travels the entire circumference, which is 2*pi*r = 2*pi * (6 inches) = 12*pi inches. Multiplying by 1440 circles per day gives a distance of:

17280*pi inches, or 54,287 inches.