What is the angle between the hour hand and minute hand of a clock if it shows 3:15?

Here is an image that displays the positions of the hour hand and minute hand on a clock at 3:15 for your reference.

**Clock Angle Puzzle solution **

To calculate the angle between the hour hand and minute hand on a clock at 3:15, we need to use the following formula:

angle = |(30 * H) – (11/2 * M)|

Where H is the hour in 24-hour format, and M is minute.

In this case, H = 3 and M = 15. Plugging these values into the formula, we get:

angle = |(30 * 3) – (11/2 * 15)| angle = |90 – 82.5| angle = 7.5 degrees

Therefore, the angle between the hour hand and minute hand on a clock at 3:15 is** 7.5 degrees**.

At a quarter past the hour, the minute hand is pointing to the 3, while the hour hand has moved 1/4 of the way from the 3 to the 4. This means that the hour hand is pointing to the 3 and 1/4 marks on the clock face. Since there are 12 marks on a clock, each representing 30 degrees (360 degrees/12 marks), 1/4 of a mark represents 30 degrees/4 or 7.5 degrees. Therefore, the angle between the hour hand and the minute hand of the clock is 7.5 degrees at 3:15.