In the minute hand of a clock is 3.5 cm long, find the distance covered by the tip of minute hand in 40 hours. (assume \pi = 22/7)
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The length of the minute hand is equal to the radius of the circle the minute hand sweeps ⇒ 60 mins = πr^2
⇒ 20 mins = πr^/3
substituting the values r = 3.5 cm
⇒πr^/3 = 12.828 cm^2
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Answer:
880cm distance will be covered in 40 hours.
Step-by-step explanation:
- In context to the given question, we have to find the distance covered by the minute hand.
Given,
Length of the minute hand = 3.5 cm = radius of circle
Total number of hours = 40
Solution,
we know that,
A minute hand completes one rotation in one hour
Distance covered in one hour = 2 π r = 2 x (22/7) x 3.5
⇒ 2 x 22 x 0.5 = 22 cm
Therefore, similarly
Distance covered in 40 hours = distance in one hour x 40
⇒ 22 x 40
⇒ 880 cm
therefore, 880cm distance will be covered in 40 hours.
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