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Circle formulas
8 formulas for Circle, from the Coordinate Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Centre–radius form | (x − h)² + (y − k)² = r² 🧮 Solve step by step | |
| General form | x² + y² + 2gx + 2fy + c = 0 🧮 Solve step by step | |
| Centre & radius (general) | centre (−g, −f), r = √(g² + f² − c) 🧮 Solve step by step | |
| Diameter form | (x − x₁)(x − x₂) + (y − y₁)(y − y₂) = 0 🧮 Solve step by step | |
| Tangent at (x₁, y₁) | xx₁ + yy₁ + g(x + x₁) + f(y + y₁) + c = 0 🧮 Solve step by step | |
| Tangent condition | y = mx + c touches x² + y² = a² ⇔ c² = a²(1 + m²) | |
| Length of tangent | √S₁ = √(x₁² + y₁² + 2gx₁ + 2fy₁ + c) 🧮 Solve step by step | |
| Parametric | x = h + r cos θ, y = k + r sin θ 🧮 Solve step by step |
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