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How many time between 10 am and 12 midnight do the minute and hour hands of the clock line up exactly?
13
What degree of angle is the clock at 1 o'clock?
At exactly 1 o'clock, the hour hand will be at an angle of 30 degrees, and the minute and second hands will be at an angle of 0 degrees.
What is the measure of the angle formed by a clock when it is 7?
When it is 7:00, the hour hand and minute hand of a 12-hour clock form a 150° angle.
If you reflect the hands of one o clock across a line from 9 to 3 what time will it show?
The minute hand will be on the 6 and the hour hand on the 5. This is is somewhat like 5:30, but at 5:30, the minute hand would still point to the six but the hour hand would be midway between the 5 and 6. There is no time when the hour hand is on the 5 and the minute hand on the 6.
What is the angle between the minute hand and the hour hand of a clock at half past two?
If we simply imagine the minute hand is on the 6, and the hour hand is on the two, there will be a total of 120 degrees between the minute and the hour hand, 1/3 of the clock is covered between the two hands. However, it is not that simple. Because 30 minutes has travelled, the hour hand will be half way between the 2 and the 3. We know that every hour, the hour hand moves 30 degrees (360 / 12 hours = 30). Therefore, in 30 minutes, it will have travelled 15 degrees. Which means the hour hand is 15 degrees closer to the minute hand. Therefore, the actual angle between the minute and hour hand is actually 105 degrees.
