Find the angle between the two hands of the clock at 9:16.

The correct answer is Option (1) → 182°

Both hands are measured clockwise from the 12. The minute hand moves 6° a minute (360° in 60 minutes); the hour hand moves 30° an hour (360° in 12 hours), that is, 0.5° a minute, so it has also moved on past the 9.

• Minute hand at 16 minutes: \(16\times6^\circ=96^\circ\) from the 12

• Hour hand at 9:16: \(9\times30^\circ+16\times0.5^\circ=270^\circ+8^\circ=278^\circ\) from the 12

• Angle between the hands \(=278^\circ-96^\circ=182^\circ\)

Note: The hands make two angles: 182° through the 6 and \(360^\circ-182^\circ=178^\circ\) through the 12. The angle between the hands usually means the smaller one, 178°, which is not among the options; 182° is the only one offered, so it is the answer given by NTA.