Converts a value’s share of a total into the degree angle its slice should occupy on a pie chart.
How it works
The value’s share of the total is multiplied by 360 degrees (a full circle) to give the slice’s angle.
What this does not include
This does not include drawing the chart itself — this calculator specifically computes the angle needed for one slice.
How to use this calculator
- Enter the value and the total it’s a share of.
A worked example
A value of 25 out of a total of 100: percent = 25%, and the pie slice spans 25% × 360° = 90°.
A value of 120 out of a total of 360: the slice spans 120° exactly, since the total was chosen to equal a full circle’s degrees.
What the variables mean
| Variable | Meaning |
|---|---|
| Value | The portion being measured |
| Total | The whole the portion is part of |
Edge cases worth knowing
A full circle is always 360°, regardless of the total value chosen. The percentage scales the slice size; the 360° full circle is a geometric constant, not something that changes with the data.
A total of zero makes both the percentage and degrees undefined — there’s no whole to measure the value against, so the calculator returns no result.
Frequently asked questions
Why is a full circle 360 degrees?
It’s the standard unit division of a circle, dating back to ancient Babylonian mathematics, and remains the universal convention for angle measurement.
What if my values don’t add up to the total?
Each slice’s angle is still computed correctly relative to whatever total you enter — just make sure the total reflects the sum you intend.
How do I convert several values into a full pie chart?
Run each value through this calculator against the same total — the resulting angles will add up to 360° if the values sum to the total.
