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Ellipse (Oval) formulas

2 formulas for Ellipse (Oval), from the Mensuration (2D & 3D) section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

Ellipse (Oval)
NameFormulaNote
AreaA = πab 🧮 Solve step by step
Perimeter (Ramanujan approximation)P ≈ π[3(a + b) − √((3a + b)(a + 3b))]

What the letters mean

asemi-major axis (half the longest width)
bsemi-minor axis (half the shortest width)

The perimeter of an ellipse has no exact elementary formula; the approximation is very accurate.

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Related: Mensuration (2D & 3D)