Question

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

Answer 1

Distance by your hand in a day=2*pi*4.2
Minute hand=24*2*pi*7
Total=10.81m

Answer 2

Answer:

1108.8 cm

Step-by-step explanation:

1 day = 24 hours

An hour hand complete two rotations in 24 hours

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

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

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

                                                                            = $52.8cm$

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 = $24 \times 2 \pi r$

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

                                                                            = $1056 cm$

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