Q:

How far does the tip of the minute hand of a clock move in 35 minutes if the hand is 4 inches long?

Accepted Solution

A:
It moves 14.66 in.

Explanation:
The distance around an entire clock is the circumference of a circle. Circumference is given by the formula C=Ο€*d.

Since the minute hand is 4 inches, this is the radius; the diameter would be 4*2=8.

The circumference would then be C=3.14*8 = 25.12 inches.

A clock is broken into 60 minutes; 35 minutes is the fraction 35/60. Multiply this by the circumference of the entire clock: 25.12(35/60) = 14.66.