Circle Equation Calculator — Center & Radius
Use this free circle equation calculator to turn the general form x² + y² + Dx + Ey + F = 0 into center-radius form. It returns the center, radius, circumference, area, and a graph.
How it works
Completing the square gives center (−D/2, −E/2) and radius r = √[(D/2)² + (E/2)² − F].
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Enter D, E, and F.
- Press Find center & radius.
Related: the Circle Calculator and more free math calculators.
Frequently asked questions
What if the radius² is negative?
Then the equation has no real circle; the calculator flags this.
Original price was: $109.99.$54.99Current price is: $54.99.
How is the center found?
From the linear coefficients: center = (−D/2, −E/2).
Original price was: $109.99.$54.99Current price is: $54.99.
Does it show the standard form?
Yes — (x − h)² + (y − k)² = r².
Original price was: $27.99.$17.99Current price is: $17.99.
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