Pie Graph Worksheets (Circle Graphs) - Free Printable

Let's solve this step-by-step based on the information provided in the image.

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Step 1: Understand the Data

The table shows the number of people who chose each sport as their favorite. The data is represented using tally marks:

- Football: |||| || (5)
- Baseball: ||| (3)
- Tennis: || (2)
- Basketball: |||| |||| |||| |||| (4 groups of 5 = 20)
- Hockey: |||| |||| |||| |||| |||| (5 groups of 5 = 25)

Wait — let’s count carefully:

- Football: 5 tally marks → 5
- Baseball: 3 → 3
- Tennis: 2 → 2
- Basketball: 4 groups of 5 (each group is "||||") → 4 × 5 = 20
- Hockey: 5 groups of 5 → 5 × 5 = 25

So total number of people surveyed:

5 + 3 + 2 + 20 + 25 = 55

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Step 2: Calculate Percentages for Each Sport

We need to find the percentage of the circle that each sport represents:

- Football: (5 / 55) × 100 ≈ 9.09%
- Baseball: (3 / 55) × 100 ≈ 5.45%
- Tennis: (2 / 55) × 100 ≈ 3.64%
- Basketball: (20 / 55) × 100 ≈ 36.36%
- Hockey: (25 / 55) × 100 ≈ 45.45%

Check: 9.09 + 5.45 + 3.64 + 36.36 + 45.45 = 100% ✔

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Step 3: Convert Percentages to Degrees

A full circle has 360°, so multiply each percentage by 360:

- Football: 9.09% × 360 ≈ 32.7°
- Baseball: 5.45% × 360 ≈ 19.6°
- Tennis: 3.64% × 360 ≈ 13.1°
- Basketball: 36.36% × 360 ≈ 130.9°
- Hockey: 45.45% × 360 ≈ 163.6°

Check: 32.7 + 19.6 + 13.1 + 130.9 + 163.6 = 360° ✔

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Step 4: Draw the Circle Graph (Pie Chart)

Now, use a protractor to draw sectors in the circle:

1. Start at any point (e.g., top).
2. Draw a radius.
3. Use the protractor to measure and mark each angle:
- Hockey: 163.6° — largest slice
- Basketball: 130.9°
- Football: 32.7°
- Baseball: 19.6°
- Tennis: 13.1°
4. Label each sector with the sport name and possibly the percentage or number.

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Step 5: Final Answer

✔ Answer Summary:

- Total responses: 55
- Hockey: 25 (45.45%) → 163.6°
- Basketball: 20 (36.36%) → 130.9°
- Football: 5 (9.09%) → 32.7°
- Baseball: 3 (5.45%) → 19.6°
- Tennis: 2 (3.64%) → 13.1°

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Instructions for Drawing:

1. Draw a circle.
2. Use a protractor to draw each sector starting from a fixed point.
3. Label each section clearly.
4. Optionally, include percentages or numbers inside each slice.

This completes the circle graph (pie chart) based on Patty's survey.

Let me know if you'd like a visual sketch description or help drawing it!