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