What is the angle between the hands of a clock at $12$ o'clock ?
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What is the angle between the hands of a clock at $12$ o'clock ?
At 12 o'clock, both the hour hand and the minute hand are pointing at the 12. Therefore, the angle between them is 0 degrees.
Using the clock angle formula, the angle is the absolute difference between 30 times the hours and 5.5 times the minutes. At 12.00, both the hours and minutes are zero, so the calculation is the absolute value of 0 minus 0, which results in an angle of 0 degrees.