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In the next 5 minutes, the minute hand will move through an angle of \(\text-\frac{\pi}{6}\) radian.
After the minute hand moves through an angle of \(\text-\pi\) radians, it is 3:30 p.m.
When the hour hand moves through an angle of \(\text-\frac{\pi}{6}\) radian, it is 4:00 p.m.
The angle the minute hand moves through is 12 times the angle the hour hand moves through.