Sure, let's go through the steps necessary to draw a pie chart to illustrate the given data.
Step 1: List the items and their corresponding percentages.
The data is:
- Food: 30%
- Rent: 15%
- Income tax: 20%
- Transport: 7.5%
- Saving: 15%
- Others: 12.5%
Step 2: Calculate the corresponding angle for each segment in the pie chart.
Since the whole circle represents 100%, and a circle has 360 degrees, we can calculate the angle for each segment using the formula:
[tex]\[ \text{Angle} = \left(\frac{\text{Percentage}}{100}\right) \times 360 \][/tex]
Let's do the calculations:
- Food:
[tex]\[ \left(\frac{30}{100}\right) \times 360 = 108^\circ \][/tex]
- Rent:
[tex]\[ \left(\frac{15}{100}\right) \times 360 = 54^\circ \][/tex]
- Income tax:
[tex]\[ \left(\frac{20}{100}\right) \times 360 = 72^\circ \][/tex]
- Transport:
[tex]\[ \left(\frac{7.5}{100}\right) \times 360 = 27^\circ \][/tex]
- Saving:
[tex]\[ \left(\frac{15}{100}\right) \times 360 = 54^\circ \][/tex]
- Others:
[tex]\[ \left(\frac{12.5}{100}\right) \times 360 = 45^\circ \][/tex]
Step 3: Draw the pie chart.
1. Draw a circle as the base for the pie chart.
2. Start from the top (12 o'clock position) and measure the angles for each segment in a clockwise direction.
- From the top, measure 108 degrees for the Food segment.
- From the new line, measure 54 degrees for the Rent segment.
- From the line you now have, measure 72 degrees for the Income tax segment.
- Continue measuring 27 degrees for Transport, 54 degrees for Saving, and finally 45 degrees for Others.
3. Label each segment with the corresponding category name and percentage.
Step 4: Add colors to distinguish each segment.
- Food: Gold
- Rent: Yellow-green
- Income tax: Light Coral
- Transport: Light Sky Blue
- Saving: Light Green
- Others: Lavender
Step 5: Ensure the segments are properly visualized.
To enhance visualization:
1. Optionally you can "explode" one segment (e.g., the 'Food' segment) by offsetting it slightly from the center.
2. Make sure the circle is divided proportionately so each angle correctly represents the corresponding percentage.
If you were to look at the completed pie chart, you would see distinct segments each labeled and color-coded to match the items and their respective percentages.
This process provides a clear and visual representation of how different portions of a total (100%) are allocated among the given categories.
