Question

significant figures on a hour hand of watch

Answer 1

Answer:

The minute hand of a clock is exactly six inches in length, and the tip of the minute hand has traveled exactly ten inches since noon. To the nearest minute, what time is it?

Possible Answers:

12:28

12:44

12:16

12:32

12:08

Correct answer:

12:16

Explanation:

The path traveled by the tip of the minute hand over the course of one hour is a circle of radius r=6. The circumference of that circle is

C=2πr=2π⋅6=12π.

The tip has traveled 10 inches since noon, so the fraction of the circle traveled is 1012π,

and the number of minutes that have expired since noon is 1012π⋅60≈16.

Therefore, to the nearest minute, the time is 12:16.