Population Density Calculator
Population density divides population by area in square kilometers, showing how many people live on average across each square kilometer of land. It is the basic yardstick for comparing how crowded cities, districts, or countries are.
Your numbers
Population density
5,000/km²
What it means
5,000 people per km², which is a very dense, big-city level.
Formula
Population density = Population ÷ Area (km²)
The same density feels very different in a city of high-rises versus a spread of single-family homes. If an administrative boundary includes large uninhabited areas like mountains or greenbelt land, the calculated density comes out lower than what residents actually experience.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| PopulationThe number of people living in the area. | 500,000 | 0 and up |
| Area (km²) (km²)The land area, measured in square kilometres. | 100 | 0.01 and up |
Step by step
Quick reference table
Results when only Population changes and everything else stays put.
| Population | Population density (/km²) |
|---|---|
| 250,000 | 2,500 |
| 375,000 | 3,750 |
| 500,000 | 5,000 |
| 750,000 | 7,500 |
| 1,000,000 | 10,000 |
What each result means
| Result | At default values |
|---|---|
| Population density (/km²)How many people live, on average, in each square kilometre. | 5,000 |
Common mistakes
The same density feels very different in a city of high-rises versus a spread of single-family homes. If an administrative boundary includes large uninhabited areas like mountains or greenbelt land, the calculated density comes out lower than what residents actually experience.
Glossary
- Population
- The number of people living in the area.
- Area (km²)
- The land area, measured in square kilometres.
- Population density
- How many people live, on average, in each square kilometre.
Frequently asked questions
QHow is Population Density Calculator calculated?
Population density = Population ÷ Area (km²) — Population density divides population by area in square kilometers, showing how many people live on average across each square kilometer of land. It is the basic yardstick for comparing how crowded cities, districts, or countries are.
QCan you walk through an example?
With Population 500,000, Area (km²) 100km², the answer is Population density 5,000/km².
QWhat do I need to enter?
Enter Population, Area (km²). The result recalculates as you type, and an empty box counts as zero.
QHow much does the answer move if I change a number?
Changing only Population moves the answer to Population 250,000 → Population density (/km²) 2,500 and Population 1,000,000 → Population density (/km²) 10,000. The table below lays out five steps.
QHow are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
QAnything to watch out for?
The same density feels very different in a city of high-rises versus a spread of single-family homes. If an administrative boundary includes large uninhabited areas like mountains or greenbelt land, the calculated density comes out lower than what residents actually experience.
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