Circle General to Standard Form
Circle General to Standard Form: 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
- D in x²+y²+Dx+Ey+F=0: -6
- E: -8
- F: 0
x²+y²−6x−8y=0 becomes (x−3)²+(y−4)²=25.
Frequently asked questions
How do I use this calculator?
Enter d in x²+y²+dx+ey+f=0, e, f. The result updates automatically. Use Reset to restore the example values.
What method does it use?
h = −D/2; k = −E/2; r² = (D²+E²)/4−F. 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.