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# Oblate Spheroid - surface area

vCalc.Oblate Spheroid - surface area

The **Surface Area of an Oblate Spheroid** calculator approximates the surface area of an oblate spheroid.

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

- (
**b**) - This is the semi-major axis, the distance from the oblate spheroid's center along the longest axis of the spheroid - (
**c**) - This is the semi-minor axis, the distance from the oblate spheroid's center along the shortest axis of the spheroid

**Surface Area of Oblate Spheroid (sA):** The area is returned in square meters. However, this can be a automatically converted to many other area units (e.g. square inches or acres) via the pull-down menu.

#### The Math / Science

The **oblate spheroid** is an ellipsoid that can be formed by rotating an ellipse about its minor axis. The rotational axis thus formed will appear to be the oblate spheroid's polar axis. The oblate spheroid is fully described then by its semi-major and semi-minor axes.

The formula for the surface area of an Oblate Spheroid is as follows:

**sA = 2πb ^{2}(1 + (1-e^{2})/e * tanh^{-1}e) where e^{2} = 1 - c^{2}/b^{2}**

One important shape in nature that is close to (though not exactly) an oblate spheroid is the Earth.

#### Ellipsoid Calculator

**Ellipsoid - Volume**computes the volume of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Surface Area**computes the surface area of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Mass or Weight**computes the mass or weight of an ellipsoid based on the length of the three semi-axes (a, b, c) and the mean density.**Oblate Spheroid - Volume**computes the volume of an Oblate Spheroid based on the length of the two semi-axes (b, c)**Oblate Spheroid- Surface Area**computes the surface area of an Oblate Spheroid based on the length of the two semi-axes (b, c)**Oblate Spheroid- Mass or Weight**computes the mass or weight of an Oblate Spheroid based on the length of the two semi-axes (b, c) and the mean density.**Sphere - Volume**computes the volume of a sphere based on the length of the radius (a)**Sphere - Surface Area**computes the surface area of a sphere based on the length of the radius (a)**Sphere - Mass or Weight**computes the mass or weight of a sphere based on the length of the radius (a) and the mean density.

**Oblate Spheroid - surface area**, is used in 2 calculators.

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