Circle Graph Formula

In graph theory, a circle graph is the intersection graph of a set of chords of a circle. It is an undirected graph whose vertices can be associated with chords of a circle such that two vertices are adjacent if and only if the corresponding chords cross each other. The circle graph is also called pi graph and pi chart.

Some important formulas of circle graph are given below:

1. Percentages = (Amount in the Category ⁄ Total) × 100

2. Angle = (Amount in the Category ⁄ Total) × 360°

Solved Examples

Example 1: A fruit basket is filled with 36% Apples, 29% Bananas, 9% Mangoes, 7% Pineapples and 19% Grapes. Prepare a circle graph chart as per the data provided.

Solution: Given that,
Apples – 36%
Bananas – 29%
Mangoes – 9%
Pineapples – 7%
Grapes – 19%
With the above data, the circle graph will be drawn as:

Circle Graph Formula

Example 2: The following data gives the information about the number of different mobile phones used by the employees of one department in a company. Draw the circle chart for the following data using angle proportions.

Mobile phone Number of users
Apple phone 9
HTC 12
Samsung 6
Sony 8
Nokia 1

Solution: Angle = (Amount in the Category ⁄ Total) × 360°

Mobile phone Number of users Angle
Apple phone 9 (9/36) × 360° = 90°
HTC 12 (12/36) × 360° = 120°
Samsung 6 (6/36) × 360° = 60°
Sony 8 (8/36) × 360° = 80°
Nokia 1 (1/36) × 360° = 10°

Circle Graph Formulas Example

Example 3: The below table shows the percentage of expenses of a person in a month. Draw a circle chart for the data given.

Category Percentage of expense
Food 37%
Rent 16%
Clothing 11%
Education 20%
Medicine 4%
Other expenses 12%

Solution:

Solution:
Given that,
Food = 37%
Rent = 16%
Clothing = 11%
Education = 20%
Medicine = 4%
Other expenses = 12%

Circle Graph Formula Example 2

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