The short and long hands of a clock are 4 cm and 6 cm long respectively.
In an hour the hour hand completes one rotation in 12 hours therefore in 24 hours it will complete 2 rotations.
Similarly, the minute hand completes one rotation therefore in 24 hours the minute hand will complete 24 rotations.
Distance travelled by its tip in 2 days = 4(circumference of the circle with radius 4 cm)
= (4 × 2π × 4) cm = 32π cm
(As, in 2 days, the short hand will complete 4 rounds)
In 2 days, the long hand will complete 48 rounds length moved by its tip = 48(circumference of the circle with radius 6 cm)
= (48 x 2π x 6) cm
= 576 π cm
Now,
Sum of the lengths moved
= (32π + 576π)
= 608π cm
= (608 x 3.14) cm
= 1909.12 cm
