Math Playground
Data

Pie charts

Slices of a circle — each one a percentage of the whole.

A pie chart turns numbers into slices of a circle. It's pretty, it's intuitive — and statisticians quietly hate it, because your eye is terrible at comparing angles.

A pie chart shows parts of a whole as wedges of a circle. Each slice's angle is proportional to its share of the total.

Where you'll meet this

Budget breakdowns, market share, survey results, time use — anywhere you're showing how 100% divides up.

businesspresentations
Edit the data — the chart follows
40%25%15%12%8%
Rent: 40%Food: 25%Transport: 15%Savings: 12%Fun: 8%
Slice angle

A category that's 25% of the total gets a 90° wedge.

Your turn

A budget: Rent 50%, Food 25%, Transport 15%, Other 10%. What angle is the Food slice?

Try it

When does a pie chart fail?

With many small slices of similar size — say, 8 categories all near 10-15%. Your eye can't rank them. A bar graph would make the order obvious instantly.

Watch out

Don't use a pie chart for data that doesn't sum to a meaningful whole. 'Favourite colour' percentages from a multi-select survey can exceed 100% — a pie chart of that is nonsense.

Rule of thumb: 5 slices or fewer, with clearly different sizes. More than that, or close sizes — switch to a bar graph.

Recap
  • Pie slices show parts of a whole; angle = share × 360°.
  • Best with few, clearly different categories.
  • When in doubt, a bar graph is usually clearer.