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If the minute hand is at 12 and the hour hand is at 4, what is the angle between

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Question: If the minute hand is at 12 and the hour hand is at 4, what is the angle between them?

Options:

  1. 120 degrees
  2. 90 degrees
  3. 60 degrees
  4. 150 degrees

Correct Answer: 120 degrees

Solution: 

At 4:00, the hour hand is at 120 degrees (4 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |120 - 0| = 120 degrees.

If the minute hand is at 12 and the hour hand is at 4, what is the angle between

Practice Questions

Q1
If the minute hand is at 12 and the hour hand is at 4, what is the angle between them?
  1. 120 degrees
  2. 90 degrees
  3. 60 degrees
  4. 150 degrees

Questions & Step-by-Step Solutions

If the minute hand is at 12 and the hour hand is at 4, what is the angle between them?
  • Step 1: Understand that a clock is a circle divided into 12 hours.
  • Step 2: Each hour on the clock represents 30 degrees (360 degrees / 12 hours).
  • Step 3: Identify the position of the hour hand. At 4:00, the hour hand is at 4 hours.
  • Step 4: Calculate the angle of the hour hand: 4 hours * 30 degrees = 120 degrees.
  • Step 5: Identify the position of the minute hand. At 12:00, the minute hand is at 0 degrees.
  • Step 6: Calculate the angle between the hour hand and the minute hand: |120 degrees - 0 degrees|.
  • Step 7: The result is 120 degrees.
  • Angle Calculation – Understanding how to calculate the angle between the hour and minute hands of a clock based on their positions.
  • Clock Geometry – Knowledge of how the clock is divided into degrees, where each hour represents 30 degrees.
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