Featured image of post William Playfair Drew Two Different Kinds of Circular Charts

William Playfair Drew Two Different Kinds of Circular Charts

William Playfair (1759-1823) is often credited with inventing the pie chart, one of the first charts to represent proportions within a circle. His goal was to make economic and geographic data visible and understandable.

But the circular diagrams he actually drew included two different forms. Both appeared in his 1801 book Statistical Breviary.

1. The Sector-Based Type: The First Pie Chart

This diagram shows the areas of U.S. states and newly acquired territories such as Louisiana and Florida in proportional form. The title explains that the method is intended to show the proportion among divisions of a territory.

Here, the angles of the sectors correspond to the areas of the states. This is the principle of the modern pie chart.

2. The Concentric-Circle Type: A Circle Area Chart

This diagram uses area to compare territorial size. The circle is not divided primarily by angle; it compares quantities through circular area. In modern terms, it is closer to a circle area chart.

Only the Russian Empire and the Turkish, or Ottoman, Empire are broken down internally.

Russian Empire and Turkish Empire

For the Russian Empire, Playfair used a concentric structure: the central circle represents the European territory, and the outer ring represents the Asian territory.

For the Turkish Empire, the territorial breakdown among Europe, Asia, and Africa is shown more like a modern pie chart, using angle as the proportional element.

The reason for using two forms may have been practical rather than theoretical. The charts were hand-colored, and the available space was limited. A large territory such as Russia could accommodate a concentric structure, while a smaller one such as the Ottoman Empire was easier to read when divided radially.

Summary

Modern namePrincipleFeature
Pie chartShows proportion by angleDivides a circle into sectors
Circle area chartShows quantity by areaCompares circular areas or concentric regions

Playfair’s circular diagrams therefore included both a true pie chart based on angle and a circle area chart based on area. Looking closely at these differences helps clarify the early history of statistical graphics.

References

Licensed under CC BY-NC-SA 4.0
Last updated on Jun 12, 2026 08:59 +0900
Built with Hugo
Theme Stack designed by Jimmy