Question

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use π=22/7]

Answer 1

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

In 5 minutes, minute hand will rotate =

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 =    

 

Area of sector of 30° 

 

Therefore, the area swept by the minute hand in 5 minutes is 154/3cm²