Each minute is six degrees.
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120 degrees is the angle made by the hands of a clock at 4 o clock. To get this answer, you could divide the clock into equal parts (12), and find the ratio of the time in terms of parts to the total number of parts of the clock (which would be 4/12 in this case). Then, you cross multiply the ratio you got, to the ratio of the unknown degrees to the total number of degrees in a circle (x/360). (4 * 360 = 12x). The answer should be 120 degrees.
The hands on a clock!
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); }
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
Any angle between 0 and 180 degrees or 0 and pi radians.