Angle between hour and minute hand at 7:45

Maniacs

Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 7:45.

Below is an image of what the clock looks like at seven-forty-five (7:45) so that you can see where the hour hand and the minute hand are located.

Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees.

There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute.

It takes 720 minutes for the hour hand to move around the clock. 360 degrees divided by 720 minutes is 0.5. Therefore, the hour hand moves 0.5 degrees per minute.

As you can see, the hour hand and minute hand showing 7:45 on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.

7:45 clock with pie chart showing the angle of the hands

The hour hand and minute hand on a clock showing 7:45 actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.

Angle from hour hand to minute hand at 7:45
At 7:45, the hour hand has moved 465 out of 720 possible times from the top of the clock. 465 times 0.5 degrees is 232.5 degrees.

At 7:45, the minute hand has moved 45 out of 60 possible times from the top of the clock. 45 times 6 degrees is 270 degrees.

270 - 232.5 = 37.5 degrees

Angle from minute hand to hour hand at 7:45
The angle from the minute hand to the hour hand is simply 360 degrees minus the degrees from the hour hand to minute hand that we calculated above.

360 - 37.5 = 322.5 degrees.

Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a 12-hour clock at 7:45. Again, the two angles created by the hour hand and minute hand at seven-forty-five are 37.5 degrees and 322.5 degrees.

Clock Angle Calculator
The angle made by the hour hand and minute hand on a clock at 7:45 is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock. Get the degrees for another time here!

Angle between hour and minute hand at 7:46
Here is the next time on our clock that we have calculated the angles for. Check it out!