The minute hand position at 16 minutes past the hour:
The minute hand completes 360° in 60 minutes.
Minute hand angle =6016×360°
=6016×360°
=96° from 12 o'clock
The hour hand position at 9:16:
At exactly 9:00, the hour hand is at:
9×30°=270° from 12 o'clock
The hour hand moves 30° in 60 minutes (one hour).
In 16 minutes, the hour hand moves:
6016×30°=8°
Hour hand angle at 9:16 =270°+8°=278° from 12 o'clock
The angle between the two hands:
∣278°−96°∣=182°
Therefore, the angle between the two hands at 9:16 is 182°.