This question is about the angle formed by the hour hand and the minute hand on the 1am clock surface. We need to find the angle between these two hands, assuming that the angle between the hour hand and the minute hand is degrees.
On the clock face, a circle has 360 degrees. Every hour, the hour hand goes 30 degrees (360 degrees-12 hours): every minute, the minute hand goes 6 degrees at 10 (360 degrees =60 minutes), the hour hand goes 300 degrees (10 hour x30 degrees/hour), and the minute hand goes 0 degrees (0
So the angle between the two hands will be 300 -0 degrees. Using mathematical expressions, we can express it as: Day =300-0. The calculation result is =300 degrees, so at 10 in the morning, the hour hand and the minute hand on the clock face form 300 degrees.
We need to find out the angle between the hour hand and the minute hand at 10. First of all, we need to know how the hour hand and minute hand on the clock move.
In an hour, the minute hand will move 360 degrees, while the hour hand will only move 30 degrees (because 12 hour is 360 degrees, 360 degrees-12 hour =30 degrees/hour). Therefore, every minute, the minute hand will move 6 degrees (because 60 minutes is 360 degrees, so 360 degrees =60 minutes =6 degrees/minute) and the hour hand will move 0.5 degrees (because 30 degrees 60 minutes =0.5 degrees/minute).
Now, let's build a mathematical model. 10, the minute hand points to 12, and the hour hand points to 10. Therefore, the minute hand moves 0 degrees (because it points to 12) and the hour hand moves 300 degrees (because 10 hour x30 degrees/hour =300 degrees).
Hour hand and minute hand formula
On the clock face, a circle has 360 degrees. Walk 30 degrees clockwise every hour (360 degrees-12 hours); Every minute, the minute hand moves 6 degrees (360 -60 minutes). Assuming that the angle between the hour hand and the minute hand is 9, at any time point, the angles of the hour hand and the minute hand can be calculated by the following formulas respectively: the hour hand angle = (hour x30 degrees)+(minute x 0.5 minute angle).
Minute Angle = Minutes x6 degrees Therefore, the angle 0 between the hour hand and the minute hand can be calculated by the following formula: the hour hand angle-minute hand angle is 10: 00, the hour hand angle is 300 degrees, and the minute hand angle is 0 degrees. Therefore, the angle between the hour hand and the minute hand is 300 degrees.