90
At 6:30, the hour hand is at 195 degrees, the minute hand is at 180 degrees, the second hand would be at 0 degrees. The hour and minute hands would also be 15 degrees apart.
90 degrees
24 times. When the minute hand lines up with the hour hand that is 0 degrees. This happens every hour.
15 degrees. Minute hand is pointing to the 6 and the hour hand halfway between 6 and 7, which themselves are 30 deg apart.
Technically only once. But if measurements are made clockwise and anticlockwise then twice. 24 I think. Since every hour, there will be 2. For example, the first time after 12 O'clock is between 12:13 and 12:14. For your info, every minute, the minute hand moves 6 degrees and the hour hand moves 0.5 degree.
60 degrees
All of them (from zero degrees to 360 degrees), as the hands spin around.
5.75 degrees.
Obtuse
straight angle
0' or 360'
One minute is six degrees. Multiply however many minutes the hands are apart by six.
At 6:30, the hour hand is at 195 degrees, the minute hand is at 180 degrees, the second hand would be at 0 degrees. The hour and minute hands would also be 15 degrees apart.
It is 15 degrees.
At 6.30 minute hand will be at 6 and hour hand will be at center of 6 and 7. Thus angle will be 360/(12*2) = 150
Lets start by thinking of a clock as a circle, with directly up being 0 degrees. At 12:00, both hands are at 0 pointing straight up. Every 60 minutes, the minute hand will make a complete revolution, so at any given time its angle is: minute_deg = minute * 360 / 60 = minute * 6; The hour hand will make a complete revolution every hour, so its formula is: hour_deg = hour * 360 / 12 = hour * 30; A function to find the angle would be: int angleBetweenHands(int hour, int minute) { if(hour > 12) // In case of 24 hour clock hour -= 12; int angle = hour * 30 - minute * 6; if(angle > 180) angle = 360 - angle; return(angle); }
When it is 7:00, the hour hand and minute hand of a 12-hour clock form a 150° angle.