List of formulas in elementary geometry

This is a short list of some common mathematical shapes and figures and the formulas that describe them.

Two-dimensional shapes

:Sources:

Three-dimensional shapes

:Sources:

Sphere

The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables
*$r$ is the radius,
*$C = 2 \pi r$ is the circumference (the length of any one of its great circles),
*$S$ is the surface area,
*$V$ is the volume.

Surface area:

\begin
S
&= 4 \pi r^2 \\ .3ex&= \frac C^2 \\ .3ex&= \sqrt \\ .3ex\end

Volume:

\begin
V
&= \frac \pi r^3 \\ .3ex&= \frac C^3 \\ .3ex&= \frac S^ \\ .3ex\end

Radius:

\begin
r
&= \frac C \\ .3ex&= \sqrt \\ .3ex&= \sqrt \\ .3ex\end

Circumference:

\begin
C
&= 2 \pi r \\ .3ex&= \sqrt \\ .3ex&= \sqrt \\ .3ex\end

See also

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References

{{DEFAULTSORT:Formulas in elementary geometry
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Mathematics-related lists