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