Pie Chart Angle Calculator

Pie Chart Angle Calculator. Enter your data categories with their values or percentages, and the Pie Chart Angle Calculator computes the central angle for each sector. Fill in up to 6 group names and values, and get back each group's angle in degrees, percentage of the whole, and a live pie chart showing the distribution. Also try the use the QQ Plot Calculator.

Results

Total (Sum of All Values)

Group 1 Angle

Group 1 Percentage

Group 2 Angle

Group 2 Percentage

Group 3 Angle

Group 3 Percentage

Group 4 Angle

Group 4 Percentage

Group 5 Angle

Group 5 Percentage

Group 6 Angle

Group 6 Percentage

Results Table

How do I calculate pie chart angles?

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°. See also our calculate Frequency Polygon Total Frequency (n).

How do I convert percentages to angles in a pie chart?

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°.

How do I find percentages given raw data in a pie chart?

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.

How do I find percentages given angles in a pie chart?

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. You might also find our Pie Chart Percentage Calculator useful.

Why must all pie chart angles add up to 360°?

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°.

Can I use this calculator with percentages instead of raw values?

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.

What is the central angle of a pie chart sector?

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.

How many categories can a pie chart have?

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.