Aflea 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?

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.