Question

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

Answer 1

Answer with Step-by-step explanation:

The distance traveled by minute hand in one hour = The circumference of a circle

Circumference is given by the formula C= 2πr

Since the minute hand is 4 inches, this is the radius

The circumference would then be C=3.14×2×4 = 25.12 inches.

A clock is broken into 60 minutes

in 60 minutes it travel=25.12 inches

in 35 minutes it will travel=25.12×35/60

= 14.65 inches

Hence,the tip of the minute hand of a clock in 35 minutes moves 14.65 inches

Answer 2

It moves 14.66 in.

Step-by-step explanation:
The distance around an entire clock is the circumference of a circle. Circumference is given by the formula C=π*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.