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GeoLength
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GeoLength

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gives the length of the geo path g.

Details and Options

Examples

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Basic Examples  (4)Summary of the most common use cases

Compute the total length of a geo path on the Earth:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-qzy371
Out[1]=1

Compute the total length of a path formed by geodesic segments:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-hqfrjt
Out[1]=1

Compute the total length of the rhumb lines joining the same points:

In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-6bmwyl
Out[2]=2

Length of the Earth's equator:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-pj8662
Out[1]=1

Length of a full meridian:

In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-cygb7y
Out[2]=2

Compute the perimeter of a geo disk:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-qn6xl0
Out[1]=1

Scope  (3)Survey of the scope of standard use cases

Compute the length of different one-dimensional geo elements:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-zicct3
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-jlk5xz
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0cg5bnh6y-emi5c9
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0cg5bnh6y-mngr49
Out[4]=4

Length of the perimeter of a region with holes, as a single joined object:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-jxzqnl
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-pmf6rw
In[3]:=3
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https://wolfram.com/xid/0cg5bnh6y-habiu0
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0cg5bnh6y-1rz6mm
Out[4]=4

It can also be obtained by adding the lengths of the outer and inner curves:

In[5]:=5
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https://wolfram.com/xid/0cg5bnh6y-v3stdm
Out[5]=5

Paths of different types can be combined with GeoGroup:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-rcg7cd
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-6vatuw
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0cg5bnh6y-y60h42
Out[3]=3

Generalizations & Extensions  (1)Generalized and extended use cases

GeoLength[Line[{p1,p2,…}]] is equivalent to GeoLength[GeoPath[{p1,p2,…}]] for geo locations pi:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-kvdk3g
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-4oatbk
Out[2]=2

Options  (2)Common values & functionality for each option

UnitSystem  (1)

Use the units determined by the value of $UnitSystem:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-d9qs04
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-rfv5ov
Out[2]=2

Specify the unit system to use:

In[3]:=3
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https://wolfram.com/xid/0cg5bnh6y-rjvzdd
Out[3]=3

GeoModel  (1)

Length of a geo path on the Earth:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-q3qy45
Out[1]=1

Length of the corresponding path on Mars:

In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-yf20tf
Out[2]=2

Applications  (2)Sample problems that can be solved with this function

Compute the length of the boundary of a country from its polygon:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-yc0eid
Out[1]=1

That value is shorter than the actual length of the boundary, due to approximations in the polygon:

In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-2mxva3
Out[2]=2

The length of a segment of parallel, or the projection on a parallel of any geo path, is called departure:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-427wn1
Out[1]=1

Express it in nautical miles:

In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-orb1au
Out[2]=2

Properties & Relations  (1)Properties of the function, and connections to other functions

For a geo path defined by a list of points, GeoLength[GeoPath[list]] is equivalent to GeoDistance[list]:

In[1]:=1
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https://wolfram.com/xid/0cg5bnh6y-e0x622
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cg5bnh6y-w42sxy
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0cg5bnh6y-2ahtfk
Out[3]=3
Wolfram Research (2016), GeoLength, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoLength.html.
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Wolfram Research (2016), GeoLength, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoLength.html.

Text

Wolfram Research (2016), GeoLength, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoLength.html.

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Wolfram Research (2016), GeoLength, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoLength.html.

CMS

Wolfram Language. 2016. "GeoLength." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeoLength.html.

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Wolfram Language. 2016. "GeoLength." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeoLength.html.

APA

Wolfram Language. (2016). GeoLength. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoLength.html

✖
Wolfram Language. (2016). GeoLength. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoLength.html

BibTeX

@misc{reference.wolfram_2025_geolength, author="Wolfram Research", title="{GeoLength}", year="2016", howpublished="\url{https://reference.wolfram.com/language/ref/GeoLength.html}", note=[Accessed: 20-June-2025 ]}

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@misc{reference.wolfram_2025_geolength, author="Wolfram Research", title="{GeoLength}", year="2016", howpublished="\url{https://reference.wolfram.com/language/ref/GeoLength.html}", note=[Accessed: 20-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_geolength, organization={Wolfram Research}, title={GeoLength}, year={2016}, url={https://reference.wolfram.com/language/ref/GeoLength.html}, note=[Accessed: 20-June-2025 ]}

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@online{reference.wolfram_2025_geolength, organization={Wolfram Research}, title={GeoLength}, year={2016}, url={https://reference.wolfram.com/language/ref/GeoLength.html}, note=[Accessed: 20-June-2025 ]}