Question

The hour and minute hands of a clock are 4.2 cm and 7 cm long respectively. Find the sum of the distances covered by their tips in 1 day.

Answer 1

Answer:

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Answer 2

Answer:

1108.8cm

Step-by-step explanation:

We know that, 1 day = 24 hours

An hour hand complete two rotations in 24 hours

Distance traveled by hour hand in 1 rotation =  2πr

Distance traveled by hour hand in 2 rotations =  2 $2 \times 2 \pi r$

                                                                           = 4\times \frac{22}{7} \times 4.2

                                                                           = 52.8cm

A minute hand complete 24 rotations in 24 hours

Distance traveled by minute hand in 1 rotation = $2 \pi r$

Distance traveled by minute hand in 24 rotations = $24 \times 2 \pi r$

                                                                           = $48\times \frac{22}{7} \times 7$

                                                                           = 1056cm

The Sum of the distance Covered by their tips in 1 day = 1056 cm +52.8 cm

                                                                                         =1108.8 cm

Hence the sum of the distance Covered by their tips in 1 day is 1108.8 cm