At 3:00 (1500 hours) on a clock, the hour hand is pointing directly at the 3 and the minute hand is pointing at the 12. To find the angle between the hands, we can use the formula: |(30*H) - ((11/2)M)|, where H is the hour and M is the minute. Plugging in the values, we get |(303) - ((11/2)*0)| = |90 - 0| = 90 degrees. Therefore, the angle between the hands of the clock at 1500 hours is 90 degrees.
They overlap 11 times.
22 times in every 12 hours.
2 o'clock, every 2 hours forms 60o
The difference between 12 hour clock and a 24 hour clock is that when you say 1:00am for a 12 hour clock you would say 0100 hours
The hour hand moves 360/12=30 degrees every hour (so in 12 hours it moves 360 degrees -- back to where it started). One minute is 1/60 of an hour, so in 1 minute the hour hand moves 30/60=1/2 degree. In the meantime the minute hand has moved 1/60th of the distance around the clock, or 1/60 x 360 = 6 degrees. So at 12:01 the angle between the hands is 6 - 1/2 = 5 1/2 degrees
At 3 hours 45 minutes there is not an acute angle between the hands of the clock (unless you extend the hands backwards).
90 degrees and 270 degrees.
Right Angle or 900
The angle - is 120 degrees !
Angle between the hands of a clock=|11M-60H|/2i.e. M-Minutes=35(here)H- Hours=7(here)∴ The angle b/w hands of a clock=|11*35-60*7|/2=17.5°
It creates a 150o angle at 3:40
The hands of the clock form an obtuse angle during each and every hour.
An acute angle is any angle that is between 0° and 90°.At the exact hour mark, the minute hand is always at the 12.And so, the hours where the clock form an acute angle are:1 o'clock2 o'clock10 o'clock11 o'clockThus, there are 4 hours.
15 + 5 x 30 ie 165o
Technically 364.999 to the Nth degree, since the hands of a clock go in circles, you could view them barely touching as an obtuse angle.
There are 30 degrees between the numbers on a clock face - therefore, if the time in hours has passed by a quarter of an hour, then the difference in angle between the head of the hour hand and the head of the minute hand would be 30 x 1/4 = 7.5 degrees.
Since the span between 12 and 2 is 2 hours, and there are 12 hours on a round analogue clock face, it stands to reason that you are essentially dividing a circle into 6 equal pieces by virtue of the 12 hours divided by the two hour span. And if there are 360 degrees in a circle, then one sixth of 360 degrees would leave you with 60 degrees. Therefore the angle between the hands at 12 and 2 O'clock is 60 degrees.