Calculate The Surface Area Of An Prolate Spheroid

Select a type of ellipsoid below

Symmetrical Formula

Oblate Spheroid

Prolate Spheroid

An prolate spheroid is a special type of ellipsoid with two semi axes of equal length and the equatorial radius is greater than the polar radius. ie. \(a > c\)

The formula for determining the surface area of a prolate spheroid is defined as:

\(SA\) \(=\) \(2\) \(\cdot\) \(\pi\) \(\cdot\) \(a^2\) \(+\) \(\dfrac{2 \cdot \pi \cdot a \cdot c^2}{\sqrt{c^2 - a^2}}\) \(\cdot\) \(sin^{-1}(\dfrac{\sqrt{c^2 - a^2}}{c})\)

\(SA\): the surface area of the oblate spheroid

\(a\): the value of the equatorial radius

\(c\): the value of the polar radius

\(\pi\): A mathematical constant with an infinite decimal tail

The SI unit of surface area is: \(square \text{ } meter\text{ }(m^2)\)

Area Unit Converter