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The table below indicates the variations in the circumference of a circle with changes in the diameter. Draw a scatter plot for the data.

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Diameter [tex]$(cm)$[/tex] & 1 & 2 & 3 & 4 & 5 \\
\hline
Circumference [tex]$(cm)$[/tex] & 3.141 & 6.283 & 9.425 & 12.567 & 15.708 \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
Sure, let's go through a step-by-step solution on how to plot the scatter plot for the given data.

### Step-by-Step Solution

1. Understand the Data:
- We have a table with two rows: Diameter and Circumference.
- Diameter values: 1 cm, 2 cm, 3 cm, 4 cm, 5 cm
- Corresponding Circumference values: 3.141 cm, 6.253 cm, 9.425 cm, 12.567 cm, 15.708 cm

2. Prepare the Axes:
- X-axis: Represents the Diameter (cm)
- Y-axis: Represents the Circumference (cm)

3. Plotting Points:
- For each pair (Diameter, Circumference), we will plot a point on the graph.
- Point 1: (1, 3.141)
- Point 2: (2, 6.253)
- Point 3: (3, 9.425)
- Point 4: (4, 12.567)
- Point 5: (5, 15.708)

4. Drawing the Scatter Plot:
- Use graph paper or a plotting tool.
- Mark the X and Y axes with appropriate labels ("Diameter (cm)" on the X-axis, "Circumference (cm)" on the Y-axis).
- Plot the points as small dots or circles on the graph.

### Example Scatter Plot

Below is a rough depiction of how you would plot the scatter plot manually:

```
Circumference (cm)
|
16 |
14 |
12 |
10 |
8 |
6 |
4 |
2 |
0 |____________________________________
0 1 2 3 4 5
Diameter (cm)

```

Each asterisk () represents a plotted point corresponding to the data provided.

### Explanation:

- X-axis ranges from 0 to at least 5 (for the diameter).
- Y-axis ranges from 0 to just above 15.708 (for the circumference).
- The points are then plotted as per the coordinates derived from the data table.

By following these steps, you can create a scatter plot that visually represents the relationship between the diameter of a circle and its corresponding circumference.
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