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What is the angle between the hour and minute hand at 12:45?

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Question: What is the angle between the hour and minute hand at 12:45?

Options:

  1. 135 degrees
  2. 150 degrees
  3. 165 degrees
  4. 180 degrees

Correct Answer: 150 degrees

Solution: 

At 12:45, the hour hand is at 337.5 degrees (12 hours * 30 degrees + 45 minutes * 0.5 degrees) and the minute hand is at 270 degrees (45 minutes * 6 degrees). The angle between them is |337.5 - 270| = 67.5 degrees.

What is the angle between the hour and minute hand at 12:45?

Practice Questions

Q1
What is the angle between the hour and minute hand at 12:45?
  1. 135 degrees
  2. 150 degrees
  3. 165 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

What is the angle between the hour and minute hand at 12:45?
  • Clock Angle Calculation – Understanding how to calculate the angles of the hour and minute hands on a clock based on time.
  • Degree Measurement – Knowledge of how to convert hours and minutes into degrees for both the hour and minute hands.
  • Absolute Difference – Calculating the absolute difference between two angles to find the angle between the hands.
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