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At 9 : 38 A.M. through how many degrees the hour hand of a clock moved since noon the previous day?
- a)323°
- b)612°
- c)646°
- d)649°
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
At 9 : 38 A.M. through how many degrees the hour hand of a clock moved...
Time from 12 noon to 9 : 38 A.M.
= 12 hours + 9 hours 38 minutes
= 21 hours 38 minutes
Angle traced by the hour hand in 12 hours = 360°
Angle traced by the minute hand in
= 12 hours + 9 hours 38 minutes
= 21 hours 38 minutes
Angle traced by the hour hand in 12 hours = 360°
Angle traced by the minute hand in
Community Answer
At 9 : 38 A.M. through how many degrees the hour hand of a clock moved...
To find out how many degrees the hour hand of a clock moved since noon the previous day, we need to determine the number of hours that have passed between noon the previous day and 9:38 A.M.
From noon to midnight, there are 12 hours.
From midnight to 9:38 A.M., there are 9 hours and 38 minutes.
Converting the 38 minutes into hours, we divide it by 60:
38/60 = 0.6333
Therefore, the total number of hours that have passed is 12 + 9 + 0.6333 = 21.6333.
Since the hour hand moves 360 degrees in 12 hours, we can calculate the number of degrees the hour hand has moved by multiplying the time by the degrees per hour:
21.6333 * (360/12) = 650.
Therefore, the hour hand has moved 650 degrees since noon the previous day.
From noon to midnight, there are 12 hours.
From midnight to 9:38 A.M., there are 9 hours and 38 minutes.
Converting the 38 minutes into hours, we divide it by 60:
38/60 = 0.6333
Therefore, the total number of hours that have passed is 12 + 9 + 0.6333 = 21.6333.
Since the hour hand moves 360 degrees in 12 hours, we can calculate the number of degrees the hour hand has moved by multiplying the time by the degrees per hour:
21.6333 * (360/12) = 650.
Therefore, the hour hand has moved 650 degrees since noon the previous day.
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At 9 : 38 A.M. through how many degrees the hour hand of a clock moved since noon the previous day?a)323°b)612°c)646°d)649°Correct answer is option 'D'. Can you explain this answer?
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