Question

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places.

Answer 1

5 minutes is 1/12 of an hour.
The hand makes one complete circle in an hour

So, it moves 1/12 of the whole circumference in 5 minutes.

I assume you know how to find the circumference of a circle of radius 3.

Note that since there are 2π radians in a whole circle, that is why c = 2πr

For another angle θ, the arc length (distance around the circumference) is s = rθ

Answer 2

1.7