Equation of a Circle Calculator

Equation of a Circle Calculator - Multi-Tools Website

Equation of a Circle Calculator

Standard Form

(x - h)² + (y - k)² = r²

General Form

x² + y² + Dx + Ey + F = 0

Center
(0, 0)
Radius
5
units
Diameter
10
units
Area
78.54
square units

Equations

(x - 0)² + (y - 0)² = 5²
x² + y² + 0x + 0y - 25 = 0
About Circle Equations

The equation of a circle can be expressed in two forms:

  1. Standard Form: (x - h)² + (y - k)² = r²
    • h, k are the coordinates of the center
    • r is the radius
  2. General Form: x² + y² + Dx + Ey + F = 0
    • Center: (-D/2, -E/2)
    • Radius: √(D²/4 + E²/4 - F)
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