How to use the circle centre and radius from general form calculator
Convert the general equation x² + y² + Dx + Ey + F = 0 into the centre and radius of a circle. Enter coefficient d, coefficient e, constant f in the fields above; the centre x-coordinate, centre y-coordinate, radius are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “circle equation centre radius”, “general form circle”, “complete the square circle”, “calculate circle centre and radius from general form”, “find centre x-coordinate”.
Formula
Variables
- D — Coefficient D
- E — Coefficient E
- F — Constant F
Worked example
With coefficient d = -4, coefficient e = 6, constant f = -3, the calculator gives centre x-coordinate ≈ 2; centre y-coordinate ≈ -3; radius ≈ 4.
Frequently asked questions
What is the circle centre and radius from general form calculator used for?
Convert the general equation x² + y² + Dx + Ey + F = 0 into the centre and radius of a circle. It helps with questions such as “circle equation centre radius”, “general form circle”, “complete the square circle”.
What is the formula for the circle centre and radius from general form calculation?
Centre x-coordinate = -D / 2. Centre y-coordinate = -E / 2. Radius = √(D × D / 4+E × E / 4-F). Here D is coefficient d, E is coefficient e, F is constant f.
What inputs do I need for the circle centre and radius from general form calculator?
You need coefficient d, coefficient e, constant f. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the circle centre and radius from general form calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the circle centre and radius from general form result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.