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: `|||| ||||` → 8 votes
- Baseball: `|||` → 3 votes
- Tennis: `||` → 2 votes
- Basketball: `|||| |||| |||| ||||` → 4 groups of 5 = 20 votes
- Hockey: `|||| |||| |||| ||||` → 4 groups of 5 = 20 votes

Wait — let’s double-check the tally marks carefully.

Looking closely at the tally marks:

- Football: `|||| ||||` → Two groups of 4 (but that’s not standard). Actually, tally marks are usually grouped in fives. Let’s count them properly:
- Football: `|||| ||||` → That’s 4 + 4 = 8
- Baseball: `|||` → 3
- Tennis: `||` → 2
- Basketball: `|||| |||| |||| ||||` → Four groups of 5? Wait — each group is `||||` with a diagonal line? But here it's written as `||||`, so maybe each set is just 4?

Wait — actually, looking at the format: Each `||||` is likely meant to be a group of 4, and no diagonal line is drawn. So:

Let’s count each one:

- Football: `|||| ||||` → 4 + 4 = 8
- Baseball: `|||` → 3
- Tennis: `||` → 2
- Basketball: `|||| |||| |||| ||||` → 4 sets of 4 = 16
- Hockey: `|||| |||| |||| ||||` → 4 sets of 4 = 16

But wait — the hockey row has five groups: `|||| |||| |||| |||| ||||`? No — let's look again.

Actually, in the image:

- Basketball: `|||| |||| |||| ||||` → 4 groups → 4×4 = 16
- Hockey: `|||| |||| |||| ||||` → also 4 groups → 16

But wait — the hockey row has five sets? Let's recheck.

Looking at the original:

> basketball: `|||| |||| |||| ||||` → 4 groups → 16
> hockey: `|||| |||| |||| ||||` → same → 16

But actually, upon closer inspection, hockey has five groups:

Wait — no. Let's count the symbols:

Each `||||` is four marks. How many such groups?

- Football: `|||| ||||` → 2 groups → 8
- Baseball: `|||` → 3
- Tennis: `||` → 2
- Basketball: `|||| |||| |||| ||||` → 4 groups → 16
- Hockey: `|||| |||| |||| ||||` → 4 groups → 16

Wait — but the hockey row has five groups? Let me re-express:

Looking at the image:

```
football |||| ||||
baseball |||
tennis ||
basketball |||| |||| |||| ||||
hockey |||| |||| |||| |||| ||||
```

Ah! Now I see — hockey has five groups of `||||` → 5 × 4 = 20

Similarly, basketball has four groups → 4 × 4 = 16

So let’s correct:

- Football: 2 groups of 4 → 8
- Baseball: 3
- Tennis: 2
- Basketball: 4 × 4 = 16
- Hockey: 5 × 4 = 20

Now total number of people surveyed:

8 (football) + 3 (baseball) + 2 (tennis) + 16 (basketball) + 20 (hockey) =
8 + 3 = 11
11 + 2 = 13
13 + 16 = 29
29 + 20 = 49

So total = 49 people

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Step 2: Calculate Percentages for Each Sport

We will now calculate the percentage of the circle each sport should take.

Formula:
$$
\text{Percentage} = \left( \frac{\text{Number of votes}}{49} \right) \times 100
$$

Then convert to degrees for the circle graph:

$$
\text{Degrees} = \left( \frac{\text{Number of votes}}{49} \right) \times 360^\circ
$$

Let’s compute each:

#### 1. Football: 8 votes
- Degrees: $ \frac{8}{49} \times 360 \approx 58.37^\circ $

#### 2. Baseball: 3 votes
- Degrees: $ \frac{3}{49} \times 360 \approx 22.04^\circ $

#### 3. Tennis: 2 votes
- Degrees: $ \frac{2}{49} \times 360 \approx 14.70^\circ $

#### 4. Basketball: 16 votes
- Degrees: $ \frac{16}{49} \times 360 \approx 117.35^\circ $

#### 5. Hockey: 20 votes
- Degrees: $ \frac{20}{49} \times 360 \approx 146.94^\circ $

Let’s check sum:

58.37 + 22.04 = 80.41
80.41 + 14.70 = 95.11
95.11 + 117.35 = 212.46
212.46 + 146.94 = 359.40° ≈ 360° (small rounding error)

Good.

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Step 3: Draw the Circle Graph (Pie Chart)

You’ll need to draw sectors in the large circle with the following angles:

- Hockey: ~146.9° → largest slice
- Basketball: ~117.4°
- Football: ~58.4°
- Baseball: ~22.0°
- Tennis: ~14.7°

Steps to draw:

1. Use a protractor.
2. Start from a reference line (e.g., top or right).
3. Draw each sector in order, labeling each with the sport name and percentage or number.

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Optional: Label with Percentages

Convert to percentages:

- Football: $ \frac{8}{49} \times 100 \approx 16.3\% $
- Baseball: $ \frac{3}{49} \times 100 \approx 6.1\% $
- Tennis: $ \frac{2}{49} \times 100 \approx 4.1\% $
- Basketball: $ \frac{16}{49} \times 100 \approx 32.7\% $
- Hockey: $ \frac{20}{49} \times 100 \approx 40.8\% $

Add these labels inside or outside the pie chart.

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✔ Final Answer Summary

| Sport | Votes | Degrees | Percentage |
|-------------|-------|---------|------------|
| Football | 8 | ~58.4° | ~16.3% |
| Baseball | 3 | ~22.0° | ~6.1% |
| Tennis | 2 | ~14.7° | ~4.1% |
| Basketball | 16 | ~117.4° | ~32.7% |
| Hockey | 20 | ~146.9° | ~40.8% |

Total: 49 votes, 360°, 100%

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📌 Instructions for Drawing:

1. Draw a circle.
2. Starting from the top (12 o’clock), use a protractor to measure and mark each angle.
3. Draw lines from the center to divide the circle.
4. Label each section with the sport name and optionally the percentage.
5. Color or shade each section differently.

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✔ You now have all the data needed to complete the "Favorite Sports Graph" circle chart!

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