Circle Graphs Worksheets - 15 Worksheets Library - Free Printable

Let's solve the problem step by step.

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Problem:

We are given a table showing the favorite sports of students in a class:

| Favorite Sport | Students |
|----------------|----------|
| Baseball | 50 |
| Football | 30 |
| Golf | 15 |
| Basketball | 5 |

We need to construct a circle graph (pie chart) based on this data.

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Step 1: Find the Total Number of Students

Add up all the students:

$$
50 \text{ (Baseball)} + 30 \text{ (Football)} + 15 \text{ (Golf)} + 5 \text{ (Basketball)} = 100 \text{ students}
$$

Total = 100 students

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Step 2: Calculate the Percentage for Each Sport

Since a circle has 360 degrees, each percentage corresponds to a portion of the circle.

We can calculate the angle for each sport using:

$$
\text{Angle} = \left( \frac{\text{Number of students}}{\text{Total students}} \right) \times 360^\circ
$$

#### Baseball:
$$
\frac{50}{100} \times 360^\circ = 180^\circ
$$

#### Football:
$$
\frac{30}{100} \times 360^\circ = 108^\circ
$$

#### Golf:
$$
\frac{15}{100} \times 360^\circ = 54^\circ
$$

#### Basketball:
$$
\frac{5}{100} \times 360^\circ = 18^\circ
$$

Let’s check the total:
$$
180^\circ + 108^\circ + 54^\circ + 18^\circ = 360^\circ \quad \text{✓}
$$

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Step 3: Draw the Circle Graph

Now, draw a circle and divide it into sections with the following angles:

1. Baseball: 180° — This is half the circle.
2. Football: 108° — Slightly less than one-third.
3. Golf: 54° — About 1/7 of the circle.
4. Basketball: 18° — A small slice.

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Step 4: Label the Sections

Label each section with:
- The sport name
- The number of students
- The percentage (optional but helpful)

For example:
- Baseball: 50 students (50%)
- Football: 30 students (30%)
- Golf: 15 students (15%)
- Basketball: 5 students (5%)

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Final Answer: Instructions to Construct the Pie Chart

1. Draw a circle.
2. Start from the right side (like a clock at 3 o'clock).
3. Use a protractor to measure and draw each sector:
- Baseball: 180° → Draw a straight line across the circle (diameter), creating a semicircle.
- Football: 108° → From the end of the baseball slice, measure 108° clockwise.
- Golf: 54° → Continue from there.
- Basketball: 18° → Final small slice.
4. Shade or color each section differently.
5. Label each section clearly.

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Summary Table

| Sport | Students | Degrees | Percentage |
|--------------|----------|---------|------------|
| Baseball | 50 | 180° | 50% |
| Football | 30 | 108° | 30% |
| Golf | 15 | 54° | 15% |
| Basketball | 5 | 18° | 5% |

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✔ Done! You now have all the information needed to complete the circle graph.

> Note: Since you cannot draw here, you would use a compass and protractor on paper to draw the pie chart as described.