The tricky clock
Geometry
Level
3
What is the measure of the smallest angle of the hour and minutes hands from an accurate circular clock at 12:12 P.M.?
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1 solution
In 12 minutes, the angle the minute hand move is: 1 2 × 6 0 3 6 0 ° = 1 2 × 6 ° = 7 2 °
In 12 minutes, the angle that the hour hand move is 1 2 × 6 0 3 0 ° = 1 2 × 0 . 5 ° = 6 °
It means when the clock moves to 12:12 in clockwise , the angle is: 7 2 ° − 6 ° = 6 6 °