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प्रश्न
The minute hand of a clock is 12 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.
उत्तर
Angle described by the minute hand in 60 minutes
= 360°
Angle described by the minute hand in 35 minutes `= (360/60xx35)°`
= 210°
Now,
r = 12 cm and θ = 210°
∴ Required area described by the minute hand in 35 minutes = Area of the sector where
r = 12 cm and θ = 210°
`=(pi"r"^2theta)/360`
`=(22/7xx12xx12xx210/360) "cm"^2`
= 264 cm2
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