Every minute is six degrees. At 7:30, the hour hand has moved halfway between the 7 and 8. Call it 15 degrees.
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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.