Question

How many times in a 24-hour period do the hour and minute hands of a clock form a 180 angle?

Answer 1

you switch to a rotating coordinate system in which the hour hand stands still, then the minute hand makes only 11 revolutions, and so it is at right angles with the hour hand 22 times. In a 24 hour day you get 2×22=44. More mathematically, it can be done as : The minute hand moves 360 degrees in 60 minutes.

Answer 2

Answer:

22 times

Step-by-step explanation:

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only). So, in a day, the hands point in the opposite directions 22 times , that is the hands of the clock form a 180 degree angle 22 times in a 24-hour period