If the minute hand is at 12 and the hour hand is at 3, what is the angle between

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Question: If the minute hand is at 12 and the hour hand is at 3, what is the angle between them?

Options:

Correct Answer: 90 degrees

Solution:

At 3:00, the hour hand is at 90 degrees (3 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |90 - 0| = 90 degrees.

If the minute hand is at 12 and the hour hand is at 3, what is the angle between them?

If the minute hand is at 12 and the hour hand is at 3, what is the angle between them?

Step 1: Understand that the clock is divided into 12 hours.
Step 2: Each hour represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
Step 3: Identify the position of the hour hand. At 3:00, the hour hand is at 3 hours.
Step 4: Calculate the angle of the hour hand: 3 hours * 30 degrees = 90 degrees.
Step 5: Identify the position of the minute hand. At 3:00, the minute hand is at 12, which is 0 degrees.
Step 6: Calculate the angle between the hour hand and the minute hand: |90 degrees - 0 degrees| = 90 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.