If the minute hand of a clock is at 12 and the hour hand is at 4, what is the an

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

Options:

Correct Answer: 120 degrees

Solution:

The hour hand at 4 is at 120 degrees (4 * 30) and the minute hand at 12 is at 0 degrees. The angle is |120 - 0| = 120 degrees.

If the minute hand of a clock is at 12 and the hour hand is at 4, what is the angle between them?

If the minute hand of a clock is at 12 and the hour hand is at 4, what is the angle between them?

Step 1: Understand that a clock is divided into 12 hours.
Step 2: Each hour on the clock represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
Step 3: Identify the position of the hour hand. The hour hand is at 4, so we calculate its angle: 4 hours * 30 degrees/hour = 120 degrees.
Step 4: Identify the position of the minute hand. The minute hand is at 12, which is 0 degrees.
Step 5: Calculate the angle between the hour hand and the minute hand by finding the absolute difference: |120 degrees - 0 degrees| = 120 degrees.

Clock Angles – Understanding how to calculate the angles between the hour and minute hands of a clock based on their positions.
Degree Measurement – Knowledge of how to convert hour positions into degrees (30 degrees per hour).