Question

The minute hand of a clock is 8 inches long and moves from 12 to 8 o’clock. How far does the tip of the minute hand move?

Answer 1

if the minute hand is 8 inches long, it shows the radius of the circle of the clock.

thus, the circumference of the circle (boundary)= 2πr

= 2X 3.14 X 8    ( wherein, r= radius= 8; π= 22/7 or 3.14)

= 50.27 inches.

The length between each two consecutive no.s on the clock = 50.27/12 = 4.19

Thus, the length moved n=by the tip of the minute hand= 4.19X8

= 33.44 inches

Hope that this would be correct .

Answer 2

The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches.  By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches