The central angle of the sectors in a pie chart will be a fraction of `360^@`

Answer

To solve the question regarding the central angle of sectors in a pie chart, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Pie Chart**: A pie chart represents data in a circular format, where each sector (or slice) corresponds to a category of data.

2. **Total Central Angle**: The total central angle in a pie chart is always 360 degrees. This represents the full circle.

3. **Central Angle of Each Sector**: Each sector in the pie chart will have a central angle that corresponds to the proportion of that category relative to the total data.

4. **Fraction of the Total**: The central angle for each sector can be calculated as a fraction of the total 360 degrees. If a category represents a certain fraction of the total data, the central angle can be calculated using the formula:
\[ \text{Central Angle} = \left( \frac{\text{Value of the Category}}{\text{Total Value}} \right) \times 360^\circ \]

5. **Conclusion**: Since each sector's central angle is derived from the total angle of 360 degrees based on the proportion of the category, we can conclude that the central angle of the sectors in a pie chart is indeed a fraction of 360 degrees.

### Final Statement:
Thus, the statement "the central angle of the sectors in a pie chart will be a fraction of 360 degrees" is true.