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Question

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

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Solution

Length of the minute hand of a clock, r=14 cm.
Area swept by the minute hand in 5 minutes =360×560=30o
Angle of segment of a circle, θ=30o
Area swept by the minute hand in 5 minute,
=θ360×πr2
=30360×227×(14)2
=112×28×22
=1543 cm2

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