Mensuration (C10)

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 48 hours.

Answer

Distance travelled by short hand in 48 hours = 4 × 2π × 4 cm = 32π cm

Distance travelled by long hand in 48 hours = 48 × 2π × 6 cm = 576π cm

Total distance travelled = (32π + 576π) cm

= 608π cm