Question

The hour and minute hands of a clock are 4.2 cm and 7 cm long respectivly find the sum of the distance covered by their tips in 1 day

Answer 1

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Answer 2

Answer:

Sum of distances covered by their tips in one day = 1108.8 cm

Step-by-step explanation:

Number of rotations completed by hour hand in 24 hours or in 1 day = 2

So, to find the distance traveled by hour hand, we find the circumference

⇒ Distance = no. of rotations × circumference

⇒ Distance = 2 × 2π·r

⇒ Distance = 4 × 3.14 × 4.2

                    = 52.8 cm

Number of rotations completed by minute hand in 24 hours or in 1 day = 24

So, to find the distance traveled by minute hand, we find the circumference

⇒ Distance = no. of rotations × circumference

⇒ Distance = 24 × 2π·r

⇒ Distance = 48 × 3.14 × 7

                    = 1056 cm

Hence, Sum of distances covered by their tips in one day = 52.8 + 1056

                                                                                                    = 1108.8 cm