दीर्घवृत्त क्षेत्रफल कैलकुलेटर — सूत्र

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).