Center of a Circle Calculator

Your details

Choose the form of information you have about the circle.
The h value in (x - h)² + (y - k)² = r²
The k value in (x - h)² + (y - k)² = r²
The constant on the right-hand side of the standard-form equation.
Center x (h)
3

x-coordinate of the circle center

Center y (k)-2
Radius (r)5
Diameter (2r)10
Standard-form equation(x - 3)² + (y + 2)² = 25
General-form equationx² - 6.0000x + y² + 4.0000y - 12.0000 = 0

Circle found from standard-form equation: center (3.0000, -2.0000), r = 5.0000.

  • The center is at (3.0000, -2.0000) and the radius is 5.0000 units.
  • The diameter is 10.0000 units - the length of any chord passing through the center.
  • The center is offset from the origin: 3.0000 units along x and -2.0000 units along y.
  • Both the standard form and the general form are shown above so you can use whichever is needed for your problem.

Next stepTo verify, substitute any known point on the circle back into the standard-form equation - it should satisfy (x - h)² + (y - k)² = r².

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