Question

The length of the minute hand is 200% 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 hundredth.

(The length of the hour hand is 20mm)

Answer 1

230
`\pi`/6

This is because each circumference is equal to 2
`\pi`r. So the distance the minute hand would travel would be 40
`\pi`. Then the minute hand would have a circumference of 20
`\pi`. However, you would have to divide that by 12 since it only traveled 1/12th of the distance around.

When you subtract the hour hand's distance from minute hand's distance, you get the answer above.