Circle Graph (Pie Chart) Segment Calculator
Calculate the angle and percentage for each slice of a circle graph.
Data Inputs
Results
Please enter values to see results.
Understanding Circle Graphs and Segment Calculations
A circle graph, also known as a pie chart, is a type of graph that represents the proportion of different categories within a whole. It's a visual way to show how a total amount is divided among various components. Each slice of the pie represents a specific category, and the size of the slice is proportional to the quantity it represents relative to the total.
Key Concepts:
- Total Value: The sum of all individual category values.
- Proportion: The ratio of an individual category's value to the total value.
- Percentage: The proportion expressed as a value out of 100.
- Angle: Each slice occupies a portion of the 360 degrees in a full circle. The angle of each slice is directly proportional to its value.
The Math Behind the Calculator:
This calculator helps you determine the angle and percentage for each segment of a circle graph based on the values you provide. The core formulas used are:
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Calculate the Total Sum:
First, all the provided values are added together to find the total sum (S).
Total Sum (S) = Value1 + Value2 + ... + ValueN -
Calculate the Proportion for Each Value:
For each individual value (Vi), its proportion relative to the total sum is calculated.
Proportion (Pi) = Vi / S -
Calculate the Percentage for Each Value:
To express the proportion as a percentage, multiply by 100.
Percentage ( %i ) = Pi * 100 = (Vi / S) * 100 -
Calculate the Angle for Each Value:
A full circle contains 360 degrees. The angle for each slice is its proportion multiplied by 360 degrees.
Angle ( °i ) = Pi * 360° = (Vi / S) * 360°
Example Calculation:
Let's say you have the following values:
- Value 1 (e.g., Sales Region A): 40
- Value 2 (e.g., Sales Region B): 60
- Value 3 (e.g., Sales Region C): 20
- Value 4 (e.g., Sales Region D): 80
Step 1: Calculate Total Sum
S = 40 + 60 + 20 + 80 = 200
Step 2, 3 & 4: Calculate for Each Value
- For Value 1 (40):
- Proportion: 40 / 200 = 0.2
- Percentage: 0.2 * 100 = 20%
- Angle: 0.2 * 360° = 72°
- For Value 2 (60):
- Proportion: 60 / 200 = 0.3
- Percentage: 0.3 * 100 = 30%
- Angle: 0.3 * 360° = 108°
- For Value 3 (20):
- Proportion: 20 / 200 = 0.1
- Percentage: 0.1 * 100 = 10%
- Angle: 0.1 * 360° = 36°
- For Value 4 (80):
- Proportion: 80 / 200 = 0.4
- Percentage: 0.4 * 100 = 40%
- Angle: 0.4 * 360° = 144°
Check: Total Percentage = 20% + 30% + 10% + 40% = 100%. Total Angle = 72° + 108° + 36° + 144° = 360°.
Use Cases:
Circle graphs and their segment calculations are widely used in various fields:
- Business & Finance: Displaying market share, budget allocation, sales by product/region, expense breakdowns.
- Statistics: Showing the distribution of survey responses, population demographics.
- Science: Representing composition of elements, experimental results.
- Education: Illustrating student performance distribution, resource allocation.
This calculator simplifies the process of preparing data for visualization, ensuring accuracy in representing proportions and angles for clear and effective communication.
Segment Details
'; resultHTML += '| Value | '; resultHTML += 'Percentage | '; resultHTML += 'Angle (degrees) | '; resultHTML += '
|---|---|---|
| ' + currentVal + ' | '; resultHTML += '' + roundedPercentage + '% | '; resultHTML += '' + roundedAngle + '° | '; resultHTML += '
| Total | '; resultHTML += '100.00% | '; // Display as 100% resultHTML += '360.00° | '; // Display as 360 deg resultHTML += '