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Question

The minute hand of a clock is 12 cm long. Find the area swept by in it 35 minutes.

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Solution

Angle described by the minute hand in 60 minutes=360°
Angle described by the minute hand in 35 minutes=36060×35°
=210°
Now,
r=12 cm and θ=210°
∴ Required area swept by the minute hand in 35 minutes = Area of the sector with r=12 cm and θ=210°
=πr2θ360=227×12×12×210360 cm2=264 cm2

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