Example 1
\(a = 5, b = 3 \rightarrow A = 47.12\) sq units
Calculatrice d'ellipse
Calculer l'aire, le périmètre et l'excentricité d'une ellipse avec visualisation interactive montrant les axes majeur et mineur
Résultats
Entrez les valeurs et cliquez sur Calculer pour voir le résultat.
Theory & Formula
An ellipse is a closed curve where the sum of distances from any point on the curve to two fixed points (foci) is constant. It has two perpendicular axes: the major axis (longer) and the minor axis (shorter).
Key properties:
- Area: A = π × a × b
- Perimeter: No exact formula; use Ramanujan's approximation
- Eccentricity: e = √(1 - b²/a²), where 0 ≤ e < 1
- Foci distance: c = a × e from center along major axis
- When a = b, the ellipse becomes a circle
- Standard equation: x²/a² + y²/b² = 1
\(A = \pi ab\)
Worked Examples
Example 2
\(a = 8, b = 6 \rightarrow A = 150.80\) sq units