20 degrees
22.5 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.
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); }
5.75 degrees.
20 degrees
22.5 degrees
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.
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.
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); }
5.75 degrees.
90
Obtuse
straight angle
It is an acute angle. It is the angle between 12 and the minute hand when it is 10 minutes and 50 seconds after the hour.
18 times
1200