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Question

Find the area of the sector in a clock swept by the minute hand in five minutes if the radius is 14 cm.

(Take π as 227)


A

616 cm2

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B
51.33 cm2
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C
42 cm2
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D
None of the above
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Solution

The correct option is B 51.33 cm2
Area of sector
=θ360×πr2

To find the area of the sector, we need the angle of the sector, denoted by θ in the figure.

Now, In 60 minutes, the minute hand sweeps an angle of
360

Hence, in 5 minutes, the angle swept would be given by
θ360=560

Thus,
θ=30

Area of the sector

=θ360×πr2=30360×227×142

=51.33 cm2


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