Q. 34.3( 267 Votes )

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

Answer :

So 15 minutes = 90º

5 min = 5 × 6°
         = 30°
So 5 minutes subtend an angle of 30º.

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 swept by min hand = Area of sector

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