Find a path and move a 10 cm clockwise hand in 6 hours?

l = 10 centimeters = 0.1 meter – the length of the hour hand.

It is required to determine S (meter) – path, and L (meter) – movement of the hand in 6 hours.

Let’s find the total length of the circle along which the hour hand moves:

L1 = pi * d = 2 * pi * r = 2 * pi * l, where pi = 3.14 is the Pythagorean number;

L1 = 2 * 3.14 * 0.1 = 6.28 * 0.1 = 0.628 meters.

Since the entire circumference of the hour dial is divided by 12 o’clock, it means that in 6 hours the hand will pass half the length of the circle, that is:

S = L1 / 2 = 0.628 / 2 = 0.314 meters.

The movement of the arrow will be equal to:

L = 2 * l = 0.1 * 2 = 0.2 meters.

Answer: in 6 hours, the hand will cover a distance of 0.314 meters and move 0.2 meters.