What is the angle of rotation of the minute hand of a clock moving from 6:10 to 7:00?

To find the angle of rotation of the minute hand when it moves from 6:10 to 7:00, we first need to determine how many minutes have passed between these two times.

From 6:10 to 6:59, there are 49 minutes. The minute hand moves 360 degrees in a full hour (60 minutes). Therefore, in one minute, the minute hand moves:

  • 360 degrees / 60 minutes = 6 degrees per minute

Now, to find the total angle moved in 49 minutes, we multiply the movement per minute by the total minutes:

  • 6 degrees/minute * 49 minutes = 294 degrees

So, the angle of rotation of the minute hand moving from 6:10 to 7:00 is 294 degrees.

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