Population Density
People per unit area.
Formula
Live Calculator
MembersVariables
Example
1M people in 500 km² = 2000/km²
How it works
Population density tells you how crowded a place is by comparing how many people live there with the size of the land they occupy. Dividing population by area gives a fair comparison between places of different sizes, since a large country can have more people overall but still be less crowded than a small city. The result is usually written as people per square kilometre or people per square mile.
When to use it
Use this formula when comparing how densely populated different regions, cities, or countries are. It is also useful in planning services like housing, transport, schools, and healthcare, where the number of people spread across an area matters.
Worked example, step by step
A town has a population of 84,000 people. Its area is 60 km². Use D = P / A D = 84,000 / 60 D = 1,400 Population density = 1,400 people per km²
Common mistakes to avoid
- Using total population alone without dividing by area
- Forgetting to keep the area units consistent, such as mixing km² and m²
- Writing the answer as a plain number without including the correct unit, like people per km²
Did You Know?
Population density ranges from Mongolia's two people per square kilometre to Monaco's nearly twenty thousand.
Share this formula
More in Geography & Earth
View allHaversine Distance
AdvancedGreat-circle distance between two lat/long points.
Map Scale
BasicRatio of map distance to real-world distance.
Slope / Gradient
BasicSteepness of terrain as a percentage.
Earth Curvature Drop
AdvancedApproximate drop of the horizon over distance d.
Barometric Formula
AdvancedAtmospheric pressure as a function of altitude.
Degrees to Distance
BasicApproximate ground distance per degree of latitude.