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:

S A

=

2

\cdot

π

\cdot

a^{2}

+

\frac{2 \cdot π \cdot a \cdot c^{2}}{\sqrt{c^{2} - a^{2}}}

\cdot

s i n^{- 1} (\frac{\sqrt{c^{2} - a^{2}}}{c})

S A

: the surface area of the oblate spheroid

a

: the value of the equatorial radius

c

: the value of the polar radius

π

: A mathematical constant with an infinite decimal tail

The SI unit of surface area is:

s q u a r e m e t e r (m^{2})

Area Unit Converter

Find $S A$

Use this calculator to determine the surface area of a prolate spheroid using the equatorial and the polar radii.

Hold & Drag

the value of the equatorial radius

a

m e t e r

the value of the polar radius

c

m e t e r

π

: A mathematical constant with an infinite decimal tail

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