5.75 degrees.
straight angle
Obtuse
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); }
20 degrees
60 degrees
straight angle
90
Obtuse
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.
20 degrees
60 degrees
22.5 degrees
Eight times in a day the hands of a clock form straight angle. At first they form straight angle when the hour amd minute hand are on 3 and 9 in noon and night. Second, when the hour amd minute hand are on 9 and 3 in morning and night. Third when the hour amd minute hand are on 12 and 6 At last when the hour amd minute hand are on 6 and 12.
Assuming the hour hand moves steadily for the entirety of the hour, the angle formed by the hour and minute hand would be 55 degrees.
Every minute is six degrees. At 7:30, the hour hand has moved halfway between the 7 and 8. Call it 15 degrees.
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 clockhour -= 12;int angle = hour * 30 - minute * 6;if(angle > 180)angle = 360 - angle;return(angle);}Read more: C_code_to_find_angle_between_hour_hand_and_minute_hand