The length of the minute hand is 150% of the length of the hour hand. In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest tenth.
Note; the hour hand is 30mm
+129841 Call the radius of the hour hand, 30mm
So....the radius of the minute hand = 1.5 * 30 = 45mm
And....in one hour.....the minute hand travels 2pi (45) = 90pi mm
And the hour hand travels pi/6 (30) = 5pi mm
So.....the minute hand travels
90pi - 5pi = 85 pi mm = about 267mm farther [ rounded]
+129841 Call the radius of the hour hand, 30mm
So....the radius of the minute hand = 1.5 * 30 = 45mm
And....in one hour.....the minute hand travels 2pi (45) = 90pi mm
And the hour hand travels pi/6 (30) = 5pi mm
So.....the minute hand travels
90pi - 5pi = 85 pi mm = about 267mm farther [ rounded]
