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# Ellipsoid - Surface Area

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Equation / Last modified by KurtHeckman on 2019/04/14 01:32
`SA = `

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vCalc.Ellipsoid - Surface Area

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2843a3c8-31ed-11e4-b7aa-bc764e2038f2

The **Surface Area of an Ellipsoid** calculator uses the Knud Thomsen's formula to compute an approximation of the surface area of an ellipsoid based on the lengths of the semi-axes.

**INSTRUCTIONS**: Choose units and enter the following:

- (
**a**) the length of semi-axis a - (
**b**) the length of semi-axis b - (
**c**) the length of semi-axis c

**Surface Area of an Ellipsoid (SA):** The calculator returns the surface area in square meters. However, this can be automatically converted to many other area units (e.g. square inches or acres) via the pull-down menu.

#### The Math / Science

The Knud Thomsen formula for the surface area of an ellipsoid is:

`SA = 4*pi* ( ((a*b)^1.6075 + (a*c)^1.6075 + (b*c)^1.6075)/3)^(1/1.6075)`

where:

- SA is the surface area of the ellipsoid
- a, b and c are the lengths of the semi-axes of the ellipsoid.

#### Ellipsoid Calculator

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This equation,

**Ellipsoid - Surface Area**, is used in 2 calculators.