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The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 9 AM and 9.35 AM.

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The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 9 AM and 9.35 AM.

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Best answer

We have,
Angle described by the minute hand in one minute = 6º

Angle described by the minute hand in 35 minutes = (6 x 35)º= 210º

Area swept by the minute hand in 35 minutes = Area of a sector of a circle of radius 10 cm

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