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 = ![]()
= 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 of sector of angle θ =
*
r2
Area of sector of 30° =
* 14 * 14
=
* 2 * 14
= ![]()
=
cm2
Hence,
The area swept by the minute hand in 5 minutes is
cm2