MEGA Elementary Education Multi-Content Practice Test

To create a circle graph displaying the number of SUV owners, what is the measurement of the central angle for the SUV section?

1. 20

2. 48

3. 72

4. 144

The correct answer is: 72

To determine the measurement of the central angle for the SUV section in a circle graph, it is essential to understand how to calculate the central angle based on the number of SUV owners relative to the total number of survey respondents or the entire data set. The formula for calculating the central angle for a segment in a circle graph is: \[ \text{Central Angle} = \left( \frac{\text{Number of SUV Owners}}{\text{Total Number of Respondents}} \right) \times 360 \] In this instance, if the correct answer is identified as 72 degrees, it indicates that the number of SUV owners represents a specific fraction of the total surveyed respondents that translates into a 72-degree segment on the circle graph. To gain a more precise understanding, imagine the total number of respondents was divided in such a way that the calculation yields the desired angle. If, for example, the number of SUV owners could be calculated as 20% of the total, the central angle would be: \[ \text{Central Angle} = 0.20 \times 360 = 72 \text{ degrees} \] This calculation aligns with the purpose of a circle graph, which visually represents data proportionally