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 a pie graph and pie 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 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:

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

Circle Graph Formula Example 2

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