3. The minute hand of a clock is 7 cm long. Find the area swept by the minute
hand on the face of the clock from 2:30 p.m. to 2:35 p.m.
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Answer:
gande gaal
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The area of the face of the clock by minute hand between 9 am and 9:35am is 89.80 cm².
The total angle covered by minute hand in 60 minutes = 360°
Now the angle covered by minute hand in 1 minute = 360/60 = 6°.
The minute hand of the clock is 7 cm.
We have to find the area covered by the minute hand from 9 to 9:35 that is in 35 minutes.
Total angle covered in 35 minutes = 6×35 = 210°.
Now area of the sector is given by × πr²
Area of the sector = × πr²
Area of the sector = × π×7² = 89.80 cm².
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