The hour hand of a clock moves from 3 to 10. Which type of angle does it form ?

Options

A. Right angle
B. Straight angle
C. Reflex angle
D. Obtuse angle

Answer

To determine the type of angle formed when the hour hand of a clock moves from 3 to 10, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Positions on the Clock:**
- The hour hand starts at the 3 o'clock position and moves to the 10 o'clock position.

2. **Count the Number of Hour Marks:**
- From 3 to 10, we count the hour marks: 4, 5, 6, 7, 8, 9, and then 10.
- This gives us a total of 7 hour marks.

3. **Calculate the Angle for One Hour:**
- The total angle in a full revolution of the clock is 360 degrees, which corresponds to 12 hours.
- Therefore, the angle covered in one hour is:
\[ \text{Angle per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees} \]

4. **Calculate the Total Angle from 3 to 10:**
- Now, we multiply the number of hours (7) by the angle per hour (30 degrees):
\[ \text{Total angle} = 7 \times 30 = 210 \text{ degrees} \]

5. **Determine the Type of Angle:**
- An angle is classified as:
- Acute: less than 90 degrees
- Right: exactly 90 degrees
- Obtuse: between 90 and 180 degrees
- Reflex: greater than 180 degrees and less than 360 degrees
- Since 210 degrees is greater than 180 degrees and less than 360 degrees, it is classified as a **reflex angle**.

### Final Answer:
The angle formed by the hour hand moving from 3 to 10 is a **reflex angle** of 210 degrees.

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