10 (coincidence)
There are 360 degrees on the clock face that the minute hand travels in one hour which is 6 x 10 minutes. So the degrees turned by the minute hand in 10 minutes is 360/6 = 60
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.
It is 1 minute = 6 degrees and so 6*6 = 36 degrees
The minute hand moves 360 degrees in 60 minutes so 6 degrees takes 1 minute.
6 degrees
For 3:30 to be a right angle, the hour hand would point to the 3 and the minute hand would point to the 6. But the hour hand will be halfway between the 3 and the 4, hence not a right angle.Also, at 3:30 the angle of the hour hand would be at 105 degrees, the minute hand at 180, and the angular distance between both would be 75 degrees.
In 10 minutes, the hour hand moves 1/6th of the way between two hour markers on the clock face, as there are 60 minutes in an hour. Since there are 360 degrees in a full circle, the angle described by the hour hand in 10 minutes is 1/6 * 360 = 60 degrees. This means the hour hand moves 6 degrees for every minute that passes.
At 10 minutes 55 seconds past 2pm or 14.10 and 55 seconds. The minute hand rotates 360° per hour = 6° per minute = 1/10° per second. The hour hand rotates 30° per hour = 1/120° per second. At 12 o'clock the hands are perfectly aligned. After each hour the minute hand is at 12 o'clock and the hour hand has rotated 30°. For the hands to be aligned between 2pm and 3pm then the hour hand must have rotated 60° when the minute hand is at 12 o'clock. To be aligned the minute hand has now to rotate n/10°. The hour hand has already rotated 60° and now needs to rotate a further n/120° n/10 = 60 + n/120 : n = 7200/11 = 655 seconds = 10 minutes 55 seconds.
When a round analog clock is hung upside down, the "12" position will now be at the bottom, and the "6" position will be at the top. In this orientation, the minute hand will point to the right of the viewer when the time reads two forty-five, as the minute hand will be pointing towards the "3" position on the clock face. This is because the minute hand points to the minute marker corresponding to the number of minutes past the hour.
6 degrees.
The minute hand passes through 360 degrees in an hour and 6 degrees in a minute
straight angle