Pie Chart Angle Calculator

Use the formula: Angle = (Category Value / Total of All Values) × 360°. For each group, divide its value by the sum of all values, then multiply by 360. The resulting angles for all groups should add up to exactly 360°.

If you already know a category's percentage, simply convert it to an angle using: Angle = (Percentage / 100) × 360°. For example, a category that makes up 25% of the data has a central angle of (25/100) × 360° = 90°.

Divide the category's value by the total of all category values, then multiply by 100. The formula is: Percentage = (Category Value / Total Value) × 100%. This gives each group's share of the whole dataset.

If you only know a sector's angle, recover its percentage using: Percentage = (Angle / 360°) × 100%. For example, a sector with a 72° angle represents (72/360) × 100% = 20% of the whole pie.

A pie chart represents the full dataset as a complete circle. Since a circle spans 360°, each category's angle is its proportional share of that 360°. When all sectors are combined, they cover the entire circle, so their angles must sum to 360°.

Yes. If you already have percentages for each category, simply enter them as your values. As long as they sum to 100, the calculator will correctly distribute the 360° total. Each percentage point corresponds to 3.6° of arc.

The central angle is the angle at the center of the circle formed between the two radii that bound a pie sector. It determines how large the slice appears visually. A larger central angle means the category represents a bigger share of the total data.

Technically, a pie chart can have any number of categories, but best practices suggest keeping it to 6 or fewer for readability. Too many thin slices make it hard to distinguish categories. If you have many groups, consider combining smaller ones into an 'Other' category.