Multiple choice

At $3.40$, the hour hand and the minute hand of a clock form an angle of:

  1. ${120}^{o}$
  2. ${125}^{o}$
  3. ${130}^{o}$
  4. ${135}^{o}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The angle between hands is calculated as |30H - 5.5M|. For 3:40, H=3 and M=40. Angle = |30*3 - 5.5*40| = |90 - 220| = 130 degrees.

AI explanation

At 3:40, the minute hand is at the 8, making a 240 degree angle from 12. The hour hand travels 0.5 degrees per minute, so at 40 minutes past 3:00 it is at 90 + 20 = 110 degrees. The difference between 240 and 110 is 130 degrees.

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