Length of the minute hand = 5 cm = Radius of the clock

Minutes between the time period 6:05 am to 6:40 am = 35 minutes

In 60 minutes, the minute hand completes one revolution, i.e. 360°.

∴ Angle made by minute hand in 1 minute = 360°/60° = 60°

Thus angle made by minute hand in 35 minutes = 60° × 35 = 210°

Angle made by minute hand in 35 minutes (in radians) = θ = (210π/180)

∴ Area swept by minute hand in 35 minutes =

= 275/6

= 45.833 cm²

Hence, the required area swept by the minute land is 45.833 cm²