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°
At 8:40, let’s calculate the positions of the hour and minute hands.
Step 1: Position of the minute hand
- Minute hand moves 6° per minute
- At 40 minutes:
$40 \times 6 = 240^\circ$
Step 2: Position of the hour hand
- Hour hand moves 30° per hour
- At 8 hours:
$8 \times 30 = 240^\circ$ - Extra movement in 40 minutes:
$40 \times 0.5 = 20^\circ$
So, hour hand position =
$240 + 20 = 260^\circ$
Step 3: Angle between the hands
$|260 - 240| = 20^\circ$