The hour and minute hand of a clock are 3.5 cm and 7 cm long respectively. Find the sum of the distance covered by their tips in 12 hours
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An hour hand completes 2 rotations in 1 day i.e, in 24 hours.
Therefore, distance covered by the hour hand in 1 day = 2×circumference=2×2πr
=2×2× 7 22 ×4.2 cm
=52.8 cm
Minute hand completes 24 rotations in 1 day.
Therefore, distance covered by the minute hand in 1 day
=24×circumference
=24×2× 7 22 ×7=1056 cm
Therefore,
Sum of the distance covered by the tips of two hands =52.8+1056=1108.8 cm
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