For example, at 4: 30, the angle between two needles is:

Precautions:

M= minutes, h= hours, and the time system of 12 hours must be adopted. When it exceeds 12:00, the hours must be reduced by 12.

Extended data:

The concrete explanation of the formula in the process of solving the angle between the hour hand and the minute hand in mathematics;

1, you can use the grid method, that is, divide the circumference of the clock face into 60 grids on average, and each grid is called 1 grid. The minute hand walks every hour, that is, 60 minutes, while the hour hand only walks 5 minutes, so the minute hand walks 1 minute and the hour hand walks112 minute. The speed difference is1112.

2, you can use the degree method, that is, from the perspective, the circumference of the clock face is 360, the minute hand turns 360/60 degrees per minute, that is, the minute hand speed is 6/ minute, and the hour hand turns 360/ 12=30 degrees per hour, then the minute speed is 30/60, that is, 0.5/ minute. The speed difference between the minute hand and the hour hand is 5.5/ min.

References:

Baidu encyclopedia-hour hand