If it is 2:00, what is the angle between the hour and minute hand?

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Question: If it is 2:00, what is the angle between the hour and minute hand?

Options:

Correct Answer: 120 degrees

Solution:

At 2:00, the hour hand is at 60 degrees (2 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |60 - 0| = 60 degrees.

If it is 2:00, what is the angle between the hour and minute hand?

If it is 2:00, what is the angle between the hour and minute hand?

Step 1: Understand that a clock has 12 hours and each hour represents a 30-degree angle (360 degrees / 12 hours = 30 degrees per hour).
Step 2: Identify the time given in the question, which is 2:00.
Step 3: Calculate the position of the hour hand at 2:00. Since it is 2 hours, multiply 2 by 30 degrees: 2 * 30 = 60 degrees.
Step 4: Determine the position of the minute hand at 2:00. At the top of the hour (0 minutes), the minute hand is at 0 degrees.
Step 5: Find the angle between the hour hand and the minute hand by taking the absolute difference between their positions: |60 degrees - 0 degrees| = 60 degrees.

Clock Angles – Understanding how to calculate the angles between the hour and minute hands of a clock based on their positions.
Degrees Calculation – Applying the formula for calculating the position of the hour and minute hands in degrees.