https://file.aiquickdraw.com/mathbot/file/17289270454863ksce9xi.jpg

The pie chart in the image represents the favorite fruits of a group of people, with each section labeled by an angle in degrees. The fruits and their corresponding angles are:

- **Kiwi (orange)**: 65°
- **Lime (green)**: 67°
- **Grape (purple)**: 72°
- **Plum (pink)**: 72°
- **Pear (yellow)**: (Remaining angle)

The task asks to order the fruits from least to most popular based on the angles of the pie chart. To do that, let's calculate the angle for **Pear** by subtracting the known angles from the total angle of a circle (360°):

\[
360^\circ - (65^\circ + 67^\circ + 72^\circ + 72^\circ) = 360^\circ - 276^\circ = 84^\circ
\]

Now we can order the fruits based on their angles, from least to most popular:

1. **Kiwi**: 65°
2. **Lime**: 67°
3. **Grape and Plum**: 72° (both tied)
4. **Pear**: 84°

Would you like further details or have any questions?

Here are some related questions to consider:
1. How do you calculate the percentage each fruit represents?
2. What other methods could be used to visualize this data besides a pie chart?
3. How can we use this data to estimate the total number of votes for each fruit?
4. If another fruit were added, how would the chart change?
5. How would the ordering change if the total number of votes increased proportionally?

**Tip:** When analyzing pie charts, always verify that the sum of the angles equals 360° to ensure accuracy.

Order the fruits from least to most popular based on the pie chart.

Learn how to order fruits from least to most popular using angles in a pie chart. This problem involves interpreting a pie chart and calculating remaining angles to determine popularity. Suitable for students in Grades 6-8.

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