Question

Between the hours of 5 p.m. and 10 p.m., the hour hand of a clock moves through an arc of length 17 inches. How many inches long is the hour hand, to the nearest tenth of an inch? ASAPPPPP

Answer 1

12:44

12:16

12:08

12:32

12:28

Correct answer:

12:16

Step-by-step explanation:

Step-by-step 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.