What you provide
What you provide
- Linear x coefficient D, using the same scenario as the other inputs
- Linear y coefficient E, using the same scenario as the other inputs
- Constant F, using the same scenario as the other inputs
MATH / ANALYTIC GEOMETRY
General Circle Equation Calculator
Recover a circle center and radius from x squared plus y squared plus Dx plus Ey plus F equals zero. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Recover a circle center and radius from x squared plus y squared plus Dx plus Ey plus F equals zero. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
r = sqrt[(D/2)^2+(E/2)^2-F]
What you receive
What you receive
- Circle radius from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The recovered radius squared must be positive for a real non-degenerate circle.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors