Question

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

Answer 1

Short hand will rotate 2 times in a day
Distance --- 2*22/7*4*2 equal 352/7

Long hand will rotate 24 times
Distance -----2*22/7*6*24 equal 4224/7
Total distance equal 352/7 plus 4224/7 equal 653.7eprox

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.