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The Hour And Minute hands Of Clock Are 4.2cm and 7cm long respectively... Find The Sum Of the Distance coverd by their Tips In One Day....

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Answer:

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Step-by-step explanation:

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



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