It’s 3 PM. How many degrees are in the angle between the hour and minute hand?
A clock is a device used to measure and indicate time
Answer: The angle between the hour and minute hand at 3 PM is 90°
A clock subtends an angle of 360° at the center.
We know that a clock has 12 hours
12 units represent a complete angle of 360°
Thus, 1 unit represents 360/12 = 30°
Let's look into the below diagram to see 3 PM
We can see that the number of units between the hour hand and the minute hand at 3 PM is 3 units.
Thus, the angle between the hour hand and the minute hand at 3 PM is 3 × 30° = 90°