What will be the measurement of the angle made by the hands of a clock when the time is 8:40?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 20°
The minute hand turns \(360^\circ\) in 60 minutes, that is \(6^\circ\) a minute; the hour hand turns \(30^\circ\) an hour, that is \(0.5^\circ\) a minute, so at 8:40 it has moved on from the 8. The angle between the hands is the difference of their positions measured from 12.
Minute hand at 40 minutes: \(40\times6^\circ=240^\circ\)
Hour hand at 8:40: \(8\times30^\circ+40\times0.5^\circ=240^\circ+20^\circ=260^\circ\)
Angle between them: \(260^\circ-240^\circ=20^\circ\)
