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Q.

 The minute hand of a clock is 10 cm long. ____ is the area of the face of the clock described by the minute hand between 9 A.M. and 9:35 A.M.


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Detailed Solution

We have,
Angle described by the minute hand in one minute =6°
Then, Angle described by the minute hand in 35 minutes =(6×35)°=210°
 Area swept by the minute hand in 35 minutes.
= Area of a sector of angle 210° in a circle of radius 10 cm
=210°360°πr12
=210360×227×102 cm2
=183.3 cm2
 
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