Formula library

Great Circle Circumference

Great Circle Circumference
\[C=2\pi r\]

Variables

Cgreat circle circumference (m)
rsphere radius (m)

Description

What is this formula?

This formula calculates the circumference of the great circle of a sphere. A great circle is the largest possible circle that can be drawn on a sphere and has the same radius as the sphere itself.


When to use it

Use this formula when determining distances around spherical bodies such as planets, globes, tanks, or spherical objects.


Example

If the radius of the sphere is 5 m:


C = 2π(5)


C ≈ 31.42 m


Applications

- Geometry and mathematics

- Earth and planetary science

- Navigation and geodesy

- Astronomy

- Mechanical engineering

- Spherical object measurements

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