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Q.

The minute hand of a clock is 14cm long. How far does the tip of the minute hand move in 60 minutes?


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a

22cm

b

44cm

c

33cm

d

88cm 

answer is D.

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Detailed Solution

It is given that the minute hand of a clock is 14cm long. We need to find how far it moves in 60 minutes.
We know that the minute hand (longer hand in the clock) follows a circular path.
Question ImageFrom the above figure, it is clear that the radius of the circle is equal to the length of the minute hand.
r=14cm
The distance covered by the minute hand in 60 minutes is equal to the circumference of the circle.
We know that the circumference of a circle is 2πr units, where r is the radius of the circle.
Therefore,
Distance covered by the minute hand in 60 minutes, x=2πr
x=2×227×14 [because π=227]
x=2×22×2
x=88cm
Therefore, the distance covered by the minute hand of length 14cm in 60 minutes is 88cm.
Hence, the correct option is 4.
 
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