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An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
- a)154°
- b)180°
- c)170°
- d)160°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An accurate clock shows 8 o'clock in the morning. Through how may ...
We know that angle traced by hour hand in 12 hrs = 360°
From 8 to 2, there are 6 hours.
Angle traced by the hour hand in 6 hours
= 6x(360/12)=180oMost Upvoted Answer
An accurate clock shows 8 o'clock in the morning. Through how may ...
Degrees
There are 12 hours on a clock face and 360 degrees in a full circle. Therefore, each hour mark represents 30 degrees (360 degrees ÷ 12 hours = 30 degrees per hour).
From 8 am to 2 pm, there are 6 hours that have passed. So, the hour hand moves 6 hours x 30 degrees per hour = 180 degrees.
However, the hour hand also moves slightly as the minutes progress. At 8:00 am, the hour hand is exactly on the 8 o'clock mark. At 2:00 pm, the hour hand will have moved a bit past the 2 o'clock mark. It will be halfway between the 2 o'clock and 3 o'clock marks.
So, we need to add an additional 30 degrees (halfway between the 2 o'clock and 3 o'clock marks) to the 180 degrees from before. This gives us a total of 210 degrees.
Therefore, the hour hand will rotate 210 degrees from 8 am to 2 pm.
There are 12 hours on a clock face and 360 degrees in a full circle. Therefore, each hour mark represents 30 degrees (360 degrees ÷ 12 hours = 30 degrees per hour).
From 8 am to 2 pm, there are 6 hours that have passed. So, the hour hand moves 6 hours x 30 degrees per hour = 180 degrees.
However, the hour hand also moves slightly as the minutes progress. At 8:00 am, the hour hand is exactly on the 8 o'clock mark. At 2:00 pm, the hour hand will have moved a bit past the 2 o'clock mark. It will be halfway between the 2 o'clock and 3 o'clock marks.
So, we need to add an additional 30 degrees (halfway between the 2 o'clock and 3 o'clock marks) to the 180 degrees from before. This gives us a total of 210 degrees.
Therefore, the hour hand will rotate 210 degrees from 8 am to 2 pm.
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An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?a)154°b)180°c)170°d)160°Correct answer is option 'B'. Can you explain this answer?
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