Calcolatore dell'Area dell'Ellisse — Formula
## Ellipse Calculations
### Area
**Area = pi × a × b**
Where a is the semi-major axis and b is the semi-minor axis.
### Circumference (Ramanujan Approximation)
**C ≈ pi × (3(a+b) - sqrt((3a+b)(a+3b)))**
There is no exact closed-form formula for the circumference of an ellipse. Ramanujan's approximation is remarkably accurate.
### Eccentricity
**e = sqrt(1 - b²/a²)** (when a ≥ b)
Eccentricity ranges from 0 (circle) to 1 (degenerate line).
### Area
**Area = pi × a × b**
Where a is the semi-major axis and b is the semi-minor axis.
### Circumference (Ramanujan Approximation)
**C ≈ pi × (3(a+b) - sqrt((3a+b)(a+3b)))**
There is no exact closed-form formula for the circumference of an ellipse. Ramanujan's approximation is remarkably accurate.
### Eccentricity
**e = sqrt(1 - b²/a²)** (when a ≥ b)
Eccentricity ranges from 0 (circle) to 1 (degenerate line).
Esempio Risolto
Ellipse with semi-major axis 6 and semi-minor axis 4.
- Area = pi × 6 × 4 ≈ 75.3982
- Circumference ≈ pi × (30 - √(22 × 16)) ≈ 31.7302
- Eccentricity = √(1 - 16/36) ≈ 0.7454