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Circle Equation Calculator

Use three non-collinear points or x² + y² + Dx + Ey + F = 0 to solve the circle center, radius, equation forms, area, and circumference.

Center = —(x − h)² + (y − k)² = r²
Radius
Area
Circumference
General form
Three-point mode requires non-collinear points. General mode assumes equal x² and y² coefficients with no xy term; otherwise the curve is not this circle form.

Connected geometry workflow

v10.86 connects broad area, perimeter, volume and surface-area heads with triangle, circle, polygon, coordinate-center and similarity specialists without replacing the established geometry engines.

Use consistent measurements and valid geometric assumptions

Keep linear inputs in a consistent unit, verify that side lengths or coordinate points can form the stated shape, and treat sketches as explanatory unless explicitly marked to scale. Coordinate formulas can become unstable for nearly degenerate shapes, so invalid or nearly collinear inputs are rejected rather than silently returning misleading values.

How to use this Circle Equation Calculator

Find a circle center, radius, standard equation, and general equation from three points or general-form coefficients.

  1. Enter, paste, upload, or choose the inputs shown in the tool above.
  2. Adjust the available options for the result you need.
  3. Review the output before copying, downloading, or using it elsewhere.

What this tool does

Use three non-collinear points or x² + y² + Dx + Ey + F = 0 to solve the circle center, radius, equation forms, area, and circumference.

Practical tips and limits

Review the inputs and result before using the output elsewhere. Keep the original data when the operation changes or replaces content.

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