Population Density Calculator
Calculate demographic population density per square mile and square kilometer, and available land area per inhabitant.
Population Density Calculator
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What Is a Population Density Calculator?
The Population Density Calculator determines the concentration of human inhabitants living within a geographic boundary (city, metropolitan area, state, or country). It divides total census population by land area in square miles or square kilometers.
How to Use This Calculator
- Enter total population count.
- Enter total geographic land area (excluding major water bodies for accurate urban metrics).
- Select land area unit (Square Miles or Square Kilometers).
- Review population density in both metric and imperial units alongside square meters per person.
Population Density Formula
D_{\text{pop}} = \frac{\text{Population}}{\text{Land Area}}Population density divides total resident count by land area. 1 square mile equals approximately 2.58999 square kilometers.
Worked Example
Scenario: New York City with a population of 8,336,817 across a land area of 300.46 square miles.
Population: 8,336,817 residents.
Land Area: 300.46 sq miles (778.2 sq km).
Density per sq mile: 8,336,817 / 300.46 = 27,747 people/sq mi.
Density per sq km: 8,336,817 / 778.2 = 10,713 people/km².
Tips & Key Notes
- Always use land area rather than total area (which includes lakes, bays, and rivers) to avoid underestimating true urban congestion.
- Manhattan (New York County) has the highest county density in the US at ~72,000 residents per square mile.
- Greenland and Mongolia are the least densely populated countries on Earth at under 2 people per square kilometer.
Frequently Asked Questions
What is the most densely populated city in the world?
Cities like Manila (Philippines), Dhaka (Bangladesh), and Mumbai (India) exceed 70,000 to 110,000 residents per square kilometer in their core urban municipal districts.
What is arithmetic vs physiological population density?
Arithmetic density is total population divided by total land area. Physiological density is total population divided only by arable (farmable) agricultural land area, reflecting food security pressure.
How many square kilometers are in a square mile?
1 square mile equals 2.589988 square kilometers. To convert density per square mile to density per square kilometer, divide by 2.59.
What is the average population density of the United States?
The United States has an average population density of approximately 94 people per square mile (36 people per km²), with extreme variation between Alaska (1.3/sq mi) and New Jersey (1,260/sq mi).
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