Triangle Circumcircle Calculator
Triangle Circumcircle: calculate results from explicit inputs, with a formula and worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision.
Example Calculation
- x₁: 0
- y₁: 0
- x₂: 6
- y₂: 0
- x₃: 0
- y₃: 8
Vertices (0,0), (6,0), (0,8) have circumcenter (3,4) and radius 5.
Frequently asked questions
How do I use this calculator?
Enter x₁, y₁, x₂, y₂, x₃, y₃. The result updates automatically. Use Reset to restore the example values.
What method does it use?
Solve equal squared distances from the center to the three vertices.. Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.