STATISTICSDescriptive StatisticsStatistics Calculator
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Pie Chart Calculator

Free pie chart calculator. Create pie and doughnut charts from categorical data. Percentages, angles

Run CalculatorExplore data analysis and statistical calculations

Why This Statistical Analysis Matters

Why: Statistical calculator for analysis.

How: Enter inputs and compute results.

๐Ÿ“Š
STATISTICSDescriptive Statistics

Interactive Pie & Doughnut Charts

Interactive pie/doughnut charts from categorical data with percentages. Enter category names and values. Get percentages, angles, and publication-ready charts.

Frequency Distribution โ†’Relative Frequency โ†’

Real-World Scenarios โ€” Click to Load

Data (editable rows)

pie_chart_results.sh
CALCULATED
Total
100
Categories
6
Largest %
28.0%
Chart Type
Pie
Share:
Pie Chart Result
Pie Chart
100
6 categoriesSum: 100%Largest: Apple (28.0%)
numbervibe.com/calculators/statistics/pie-chart-calculator

Data Table

CategoryValuePercentageAngle (ยฐ)
Apple2828.00%100.8ยฐ
Samsung2020.00%72.0ยฐ
Others2020.00%72.0ยฐ
Xiaomi1414.00%50.4ยฐ
OPPO1010.00%36.0ยฐ
Huawei88.00%28.8ยฐ

Calculation Breakdown

COMPUTATION
Total
100
ฮฃ = 28 + 20 + 20 + 14 + 10 + 8
COMPUTATION
Categories
6
ext{Unique} ext{labels}
PERCENTAGES
Apple โ€” Percentage
28.00%
(28/100) ร— 100
PERCENTAGES
Samsung โ€” Percentage
20.00%
(20/100) ร— 100
PERCENTAGES
Others โ€” Percentage
20.00%
(20/100) ร— 100
ANGLES
Apple โ€” Angle (ยฐ)
100.8ยฐ
(28/100) ร— 360
ANGLES
Samsung โ€” Angle (ยฐ)
72.0ยฐ
(20/100) ร— 360
Sum of percentages
100.0%
ext{Must} ext{equal} 100%

Pie Chart

Percentage Bar Chart

For educational and informational purposes only. Verify with a qualified professional.

Key Takeaways

  • โ€ข Pie charts show parts of a whole: Percentage = (value / total) ร— 100, Angle = (value / total) ร— 360ยฐ
  • โ€ข Doughnut charts are pie charts with a center cutout โ€” useful for emphasizing the segments
  • โ€ข Best for 3โ€“7 categories; too many slices make comparison difficult
  • โ€ข Use "Other" to group small categories below a threshold (e.g., <5%)
  • โ€ข Sort by value (largest first) or by name for consistency

Did You Know?

๐Ÿ“William Playfair invented the pie chart in 1801 to show proportions of the Turkish Empire.Source: Wikipedia
๐ŸŽฏResearch shows people compare angles poorly; bar charts are often better for precise comparison.Source: Nielsen Norman Group
๐ŸฉDoughnut charts reduce clutter by removing the center; the empty space can display a summary.Source: Chart.js
๐Ÿ“ŠAvoid 3D pie charts โ€” they distort proportions and make segments harder to compare.Source: Edward Tufte
๐ŸŒˆUse distinct colors for each slice; avoid gradients that make similar values look alike.Source: Stephen Few
๐Ÿ“ฑPie charts work well for high-level summaries (e.g., market share) but not for detailed data.Source: NIST

Worked Example

Example: Market share: Apple 28, Samsung 20, Xiaomi 14, Others 38. Total = 100.

Apple: Percentage = 28/100 ร— 100 = 28%. Angle = 28/100 ร— 360ยฐ = 100.8ยฐ.

Samsung: Percentage = 20%. Angle = 72ยฐ.

How the Math Works

1. Total

Total = ฮฃ v_i (sum of all category values).

2. Percentage

Percentage_i = (v_i / Total) ร— 100. Each slice represents its share of the whole.

3. Angle

Angle_i = (v_i / Total) ร— 360ยฐ. A full circle is 360ยฐ.

4. Arc length

Arc length = (v_i / Total) ร— 2ฯ€r. Proportional to the value.

Expert Tips

Limit slices

Use 3โ€“7 slices. For more categories, consider a bar chart or grouped "Other".

Order matters

Sort by value (largest first) for easier comparison.

Labels

Show percentages on the chart; values in the legend or tooltip.

Accessibility

Ensure sufficient color contrast and provide a data table for screen readers.

Pie vs Bar Chart

Use CasePie ChartBar Chart
Parts of a wholeโœ…โš ๏ธ
Precise comparisonโš ๏ธโœ…
3โ€“7 categoriesโœ…โœ…
Many categoriesโŒโœ…

Frequently Asked Questions

When should I use a pie chart?

When you need to show parts of a whole (percentages that sum to 100%) and have 3โ€“7 categories. Good for market share, budget breakdowns, survey results.

What is the "Other" threshold?

Categories with percentage below this threshold are combined into a single "Other" slice. Use 5% or 10% to reduce clutter.

Pie vs doughnut?

Doughnut charts have a hole in the center. They can display a summary in the center and often look cleaner. Both show the same data.

Formulas at a Glance

Total = ฮฃv
Sum of values
% = v/Totalร—100
Percentage
ยฐ = v/Totalร—360
Angle (degrees)
Arc = v/Totalร—2ฯ€r
Arc length

Disclaimer: Pie charts are best for categorical data where the sum represents a meaningful whole. For time series or many categories, consider bar charts, line charts, or treemaps. This tool is for educational and professional visualization.

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