General to Standard Form of a Circle Calculator

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The coefficient of x in x² + y² + Dx + Ey + F = 0.
The coefficient of y in x² + y² + Dx + Ey + F = 0.
The constant term F in x² + y² + Dx + Ey + F = 0.
Radius (r)
12.8452

The radius of the circle

Center x (h)-11
Center y (k)6
165
Standard Form Equation(x + 11)² + (y - 6)² = 165
Valid CircleReal circle

Standard form: (x + 11)² + (y - 6)² = 165

  • Center: (-11, 6). This is found by h = -D/2 = -22/2 and k = -E/2 = --12/2.
  • Radius: 12.845233 (since r = sqrt(165)).
  • Circumference: 80.708977 units. Area: 518.362788 square units.

Next stepUse the center and radius to sketch the circle or verify with a graphing tool.

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