Through what angle does the minute hand of a clock rotate in 20 minute?

Answer

To find the angle through which the minute hand of a clock rotates in 20 minutes, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the full rotation of the minute hand**:
- The minute hand completes one full rotation in 60 minutes.
- A full rotation corresponds to an angle of 360 degrees.

2. **Calculate the angle covered in one minute**:
- To find the angle covered by the minute hand in one minute, we divide the total angle of a full rotation by the number of minutes in one rotation:
\[ \text{Angle per minute} = \frac{360 \text{ degrees}}{60 \text{ minutes}} = 6 \text{ degrees} \]

3. **Calculate the angle covered in 20 minutes**:
- Now, to find the angle covered in 20 minutes, we multiply the angle covered in one minute by the number of minutes:
\[ \text{Angle in 20 minutes} = 6 \text{ degrees/minute} \times 20 \text{ minutes} = 120 \text{ degrees} \]

### Final Answer:
The minute hand of a clock rotates through an angle of **120 degrees** in 20 minutes.

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