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, the minute hand makes an angle of 360° in one hour.
Hence, angle formed in 5 minutes
= 360°/60° x 5 = 30°
Therefore, area swept be the minute hand in 5 minutes.
= Area of sector of angle 30°
= 30° x πr²
= 1/12 x π(14) ²
= 1/12 x 22/7 x 14 x 14
= 154/3 cm²