What is the angle between the Hour hand and Minute hand at 4:25?

The correct answer is Option (2) → \(17\frac{1}{2}\)°

Both hands are measured clockwise from the 12. The minute hand turns 6° a minute (360° in 60 minutes); the hour hand turns 30° an hour, that is, 0.5° a minute, so at 4:25 it has moved on past the 4.

• Hour hand: \(4\times30+25\times0.5=120+12.5=132.5\)°

• Minute hand: \(25\times6=150\)°

• Angle between them: \(150-132.5=17.5\)°, that is, \(17\frac{1}{2}\)°

Tip: The angle at H hours M minutes is \(\left|30H-\frac{11}{2}M\right|\): here \(\left|120-137.5\right|=17.5\)°. If the result is more than 180°, subtract it from 360°.