The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6: 05 am and 6: 40 am.


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


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