Question

The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days.

[ Take $\pi =3.14$]

Answer 1

The tips cover circular paths.
The hour hand covers 4 complete circles in 2 days (48 hours)
Distance $=2\times \frac{22}{7}\times 4\times 4=100.57cm$

The minute hand covers = 48 Circles in 2 days (Each hour = 1 circle)
Distance $=2\times \frac{22}{7}\times 6\times 48=1810.23cm$

Total distance = 100.57 + 1810.23 = 1910.8 cm