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

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22

44

33

88

answer is D.

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Detailed Solution

It is given that the minute hand of a clock is

14

cm 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 Image

From the above figure, it is clear that the radius of the circle is equal to the length of the minute hand.

\Rightarrow r = 14

cm
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

2 πr

units, where

r

is the radius of the circle.
Therefore,
Distance covered by the minute hand in

60

minutes,

x = 2 πr

\Rightarrow x = 2 \times \frac{22}{7} \times 14

[because

π = \frac{22}{7}

]

\Rightarrow x = 2 \times 22 \times 2

\Rightarrow x = 88

cm
Therefore, the distance covered by the minute hand of length

14

cm in

60

minutes is

88

cm.
Hence, the correct option is 4.

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