The angle between the hands of a clock when the time 4'O clock is ,

Options

A. `60^(@)`
B. `90^(@)`
C. `150^(@)`
D. `120^(@)`

Answer

To find the angle between the hands of a clock at 4 o'clock, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Positions of the Hands**:
- At 4 o'clock, the hour hand is on the 4, and the minute hand is on the 12.

2. **Calculate the Angle Between Each Hour Mark**:
- The total angle in a circle is 360 degrees.
- There are 12 hour marks on a clock.
- Therefore, the angle between each hour mark is:
\[ \text{Angle between each hour} = \frac{360 \text{ degrees}}{12} = 30 \text{ degrees} \]

3. **Determine the Number of Hour Intervals**:
- From 12 to 4, there are 4 hour intervals (12 to 1, 1 to 2, 2 to 3, and 3 to 4).

4. **Calculate the Total Angle**:
- The total angle between the hour hand and the minute hand at 4 o'clock is:
\[ \text{Total Angle} = 4 \text{ intervals} \times 30 \text{ degrees/interval} = 120 \text{ degrees} \]

5. **Conclusion**:
- Therefore, the angle between the hands of the clock at 4 o'clock is **120 degrees**.