Find the angles of the hand of the clock when the time is 10:26

To find the angles of the clock hands when the time is 10:26, let's calculate both the hour hand's and the minute hand's positions relative to 12 o'clock:

### 1. **Minute Hand Angle:**
The minute hand moves 360° in 60 minutes. At 26 minutes, the minute hand has moved:

\[
\text{Angle of minute hand} = \frac{26}{60} \times 360^\circ = 156^\circ
\]

So, the minute hand is at **156°**.

### 2. **Hour Hand Angle:**
The hour hand moves 360° in 12 hours, or 30° per hour. At 10:26, the hour hand is slightly past the 10 o'clock mark. 

- First, find how far the hour hand moves in 10 hours:
  \[
  \text{Angle for 10 hours} = 10 \times 30^\circ = 300^\circ
  \]
  
- Next, account for the extra 26 minutes. The hour hand moves 0.5° per minute (since 30° per hour corresponds to 0.5° per minute). So, for 26 minutes:
  \[
  \text{Extra movement} = 26 \times 0.5^\circ = 13^\circ
  \]

Thus, the total angle of the hour hand is:
\[
\text{Total hour hand angle} = 300^\circ + 13^\circ = 313^\circ
\]

### Summary:
- The minute hand is at **156°**.
- The hour hand is at **313°**.

Would you like further details or clarification?

Here are some related questions:
1. How would the angles change at 3:45?
2. What would be the angle difference between the hands at 10:26?
3. How does the angle of the minute hand relate to time passed?
4. At what times do the hour and minute hands overlap?
5. How can this method be adapted to a 24-hour clock?

**Tip:** The hour hand moves 0.5° for every minute.

Learn how to calculate the angles of the minute and hour hands of a clock at 10:26. This problem covers key geometric concepts and formulas, including minute and hour hand movements in degrees. Suitable for students in Grades 6-8.

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