Question

The long and short hand of clock are 6cm and 4cm long respectively. Find the sum of the distance travelled by tips in 24 hrs.

Answer 1

360/60 for 1min
=6 min for 1 min
so for 24 min=24*6= 144

Answer 2

Answer:

Given :

Length of short hand = 4 cm

Length of long hand = 6 cm

We know short hand make 1 revolution in 12 hours while long hand in 1 hour.

Distance travelled by short hand in 24 hours = 2 × 2 π × 4 = 16 π cm

Distance travelled by long hand in 24 hours = 24 × 2 π × 6 = 288 π cm

Total distance travelled = 16 π cm +  288 π cm = 304 π cm

Therefore ,  sum of distances travelled by their tips in one day is 304 π cm.