Find the degrees and radians the angle between the hour hand and the minute hand of a clock at half past three.

Explanation

To find the angle between the hour hand and the minute hand of a clock at half past three, we can follow these steps:

### Step 1: Determine the position of the hour hand
At half past three, the hour hand is not exactly at the 3 o'clock position; it has moved towards the 4 o'clock position.

- Each hour on the clock represents 30 degrees (since 360 degrees / 12 hours = 30 degrees per hour).
- At 3 o'clock, the hour hand is at 3 * 30 = 90 degrees.
- Since it is half past three, the hour hand has moved an additional 15 degrees (half of 30 degrees) towards the 4 o'clock position.
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