Where will the hour hand of a clock stop if it starts
from 6 and turns through 1 right angle ?

Answer

To solve the problem of where the hour hand of a clock will stop if it starts from 6 and turns through 1 right angle (90 degrees), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Clock**: A clock is divided into 12 hours, and the hour hand completes a full rotation of 360 degrees in 12 hours.

2. **Calculating the Degrees per Hour**: Since the hour hand covers 360 degrees in 12 hours, we can calculate how many degrees it moves in one hour:
\[ \text{Degrees per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \]

3. **Understanding Right Angle**: A right angle is 90 degrees. We need to determine how many hours the hour hand will move to cover 90 degrees:
\[ \text{Hours to cover 90 degrees} = \frac{90 \text{ degrees}}{30 \text{ degrees per hour}} = 3 \text{ hours} \]

4. **Starting Position**: The hour hand starts at 6. We need to move it forward by 3 hours:
- Starting from 6, if we add 3 hours:
- 6 + 1 hour = 7
- 7 + 1 hour = 8
- 8 + 1 hour = 9

5. **Final Position**: After moving 3 hours from 6, the hour hand will stop at 9.

### Final Answer:
The hour hand will stop at **9**.

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