InputTestHub

Coordinate Precision Calculator

Shows the ground distance of every latitude and longitude decimal place at your latitude, and where to stop.

Converters Nothing uploaded No sign-up Free, unlimited
Converters tool
Longitude distances depend on latitude; latitude distances barely change
Enter your figures and press Calculate.
In short Every decimal place of latitude is worth a fixed distance almost anywhere on earth, because a degree of latitude is about 111 km at every latitude. One place is 11.1 km, two is 1.1 km, three is 111 m, four is 11.1 m, five is 1.1 m, six is 111 mm and seven is about a centimetre. That gives a simple rule: four places locates a building, five locates a room, six locates a doorway. Longitude behaves completely differently, and this is the part that produces real bugs. A degree of longitude is 111 km at the equator, about 78 km at 45°, 56 km at 60° and zero at the poles, because meridians converge. Any code that treats a degree of longitude as a fixed distance is correct at exactly one latitude and wrong everywhere else. The practical conclusion is that most published coordinates carry more digits than they deserve. Consumer GPS is accurate to roughly three to five metres in the open and considerably worse among tall buildings, so five decimal places already exceeds what the measurement supports and six is beyond it. Coordinates with twelve or fifteen decimal places are showing the binary representation of a floating-point double, not a better position — which is why you see values like 51.507400000000004. Writing trailing zeros is itself a claim: 51.500000 asserts you know the position to about ten centimetres, and if it came from a map click, three places is the honest way to write it.

How to use the Coordinate Precision Calculator

  1. Enter the latitude you care about.
  2. Read the table of what each decimal place is worth.
  3. Round your data to the number of places your source actually supports.

About the Coordinate Precision Calculator

The ground distance of each coordinate decimal place at any latitude, and how many places are justified.

What people use it for

  • Deciding how many decimal places to store or publish.
  • Understanding why longitude precision changes with latitude.
  • Explaining to someone why fifteen decimal places is not more accurate.

Details

1 decimal place11.1 km of latitude
4 decimal places11.1 m — a building
6 decimal places111 mm — beyond consumer GPS
Longitude at 60°half the distance it is at the equator
Consumer GPSabout 3–5 m in the open, worse in cities
PrivacyEverything runs in your browser. No coordinate you enter is sent anywhere
Distances are computed for the latitude you enter using the standard metres-per-degree series, not a single global average.

Where this tool stops

Everything is computed from the WGS84 ellipsoid in your browser — no map service, no lookup and no network. Coordinates on an older datum such as ED50, NAD27 or a national grid will not agree with these figures, sometimes by hundreds of metres. Great-circle distances use a spherical earth of radius 6,371.0 km and differ from ellipsoidal distances by up to about 0.5%, which matters for surveying and not for anything else.

Frequently asked questions

How many decimal places should I keep for coordinates?
Five is plenty for almost everything — about a metre of latitude. Six is finer than consumer GPS can measure. Beyond six you are storing the rounding of a floating-point number rather than a position.
Why is longitude precision different from latitude?
Because meridians converge at the poles. A degree of latitude is about 111 km everywhere, but a degree of longitude is 111 km at the equator, 78 km at 45° and zero at the pole. The same number of decimal places therefore buys a shorter distance the further from the equator you go.
Why does my coordinate look like 51.507400000000004?
That is a floating-point double showing through. Doubles cannot represent most decimal fractions exactly, so the tail is arithmetic noise from the binary representation. Rounding to six places removes it and loses nothing real.
Is more precision ever harmful?
Yes, in two ways. It implies an accuracy the measurement does not have, which misleads whoever uses the data next. And precise coordinates are personally identifying — six decimal places can identify a specific doorway, which is why location data is often deliberately rounded before publication.
Do I need an account to use the Coordinate Precision Calculator?
There is no cost and no cap. The Coordinate Precision Calculator is not a demo of a paid product, so nothing is held back or watermarked.
Can you see what I put into this page?
No. The Coordinate Precision Calculator runs entirely in your browser using JavaScript. Because the work happens locally, the page also keeps working if your connection drops, and closing the tab is all it takes to discard everything.
When would I actually need the Coordinate Precision Calculator?
Typical uses: deciding how many decimal places to store or publish. Understanding why longitude precision changes with latitude. Explaining to someone why fifteen decimal places is not more accurate. It is built for exactly those cases rather than being a general-purpose tool with this bolted on.
When is the Coordinate Precision Calculator not the right tool?
Everything is computed from the WGS84 ellipsoid in your browser — no map service, no lookup and no network. Coordinates on an older datum such as ED50, NAD27 or a national grid will not agree with these figures, sometimes by hundreds of metres. Great-circle distances use a spherical earth of radius 6,371.0 km and differ from ellipsoidal distances by up to about 0.5%, which matters for surveying and not for anything else. Knowing where a tool stops being trustworthy matters more than the cases where it works.
Which values should I know?
1 decimal place is 11.1 km of latitude. 4 decimal places is 11.1 m — a building. 6 decimal places is 111 mm — beyond consumer GPS. These are printed on the page itself, so you do not have to take them on trust.
Is the number rounded?
The calculation runs in double precision and the result is shown to ten significant figures, so converting a value and converting it back returns the original. What is displayed is rounded for readability; what is copied is not.

Related converters tools

All 1079
01

Number Base Converter

Converts numbers between binary, octal, decimal, hexadecimal and any base from 2 to 36, in…

02

Roman Numeral Converter

Converts numbers to Roman numerals and Roman numerals back to numbers, from 1 to 3,999,999.

03

Shoe Size Converter

Converts shoe sizes between US, UK, EU, Japan and centimetres for men, women and children.

04

Ring Size Converter

Converts ring sizes between US, UK, EU and Japan systems and shows the matching inside…

07

Bra Size Converter

Converts bra sizes between UK, US, EU, France, Italy, Australia and Japan, or works the size…

09

Hat Size Converter

Converts head circumference to US, UK and EU hat sizes using the real formula: the size is the…

10

Glove Size Converter

Converts hand circumference to glove size and letter size for men and women. The glove size is…