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

As we know that in 1 hour (i.e., 60 minutes), the minute hand rotates 360°

In 5 minutes, minute hand will rotate =

= 30^{o}

Therefore, the area swept by the minute hand in 5 minutes will be the area of a sector of 30° in a circle of 14 cm radius

Area of sector of angle θ = * r^{2}

Area of sector of 30° = * 14 * 14

= * 2 * 14

=

= cm^{2}

Hence,

The area swept by the minute hand in 5 minutes is cm^{2}

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