Q: What Angle do the hour hand and the minute hand make when it is six o' clock?

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straight angle

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.

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); }

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.

0' or 360'

Related questions

When it is 7:00, the hour hand and minute hand of a 12-hour clock form a 150° angle.

straight angle

90 degrees

72.5Â°

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.

10Â°, on a standard 12-hour clock. The minute hand is pointing at the 4, but the hour hand has advanced by 1/3 of an hour, which is 1/36 of a full circle, or 10Â°.

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); }

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.

1200

0' or 360'

Say you start at 12 o'clock. If the minute hand goes around the clock once in a complete circle, it turns to 1 o'clock. thus, the hour hand makes it a 30 degree angle.

It is 15 degrees.