Surface Area of an Ellipsoid Calculator

The ellipsoid is a sphere-like surface for which all cross-sections are ellipses. The surface area of a general ellipsoid cannot be expressed exactly by an elementary function. However, an approximate formula can be used. Given here is an online geometric calculator to determine the surface area of an ellipsoid for the given values of axis 1,2 and 3. The calculator tool would automatically update you with the surface area of an ellipse from the input values.

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Formula:

Surface Area of an Ellipsoid
SA = 4Π[((ab)1.6+(ac)1.6+(bc)1.6)/3](1/1.6) Where, SA = Surface Area a = Axis 1 b = Axis 2 c = Axis 3

a, b and c defines the vertical distances from the origin of the ellipsoid to its surface.

Example:

Determine the surface area of a ellipsoid that has following properties: a=2m, b=3m and c=4m.

Solution:

Surface Area of an Ellipsoid = 4Π[((ab)1.6+(ac)1.6+(bc)1.6)/3](1/1.6)
= 4Π[((2x3)1.6+(2x4)1.6+(3x4)1.6)/3](1/1.6)
= 111.5709m2.

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