PopulationRadiusCalculator

Calculate the population within a certain radius from a location using latitude and longitude coordinates

Input Parameters

Calculation Results

Calculation Formula

Population = π × (Radius²) × Population Density

Where:
π = 3.14159265359
Radius = Distance from the center point to the edge of the circle (km)
Population Density = Number of people per square kilometer

Estimated Population

0 people

Area Calculation

0 km²

PopulationRadiusCalculator Calculator Usage Guide

Learn how to use the PopulationRadiusCalculator and understand its working principles

How to Use This Calculator

  1. Enter the Latitude and Longitude of the center point (e.g., your city, region, or any location of interest). These should be in decimal format (positive for North and East, negative for South and West).
  2. Specify the Radius in kilometers from the center point to calculate the circular area.
  3. Provide the Population Density for the area. This represents the average number of people living per square kilometer in that region. You can find this data from census reports or official statistics for your specific area.
  4. Click the Calculate button to compute the estimated population within the specified radius.

Understanding the Formula

This calculator uses the formula:

Population = π × (Radius²) × Population Density

This calculates the area of a circle (π × r²) and then multiplies it by the population density to estimate the total population within that radius.

Example Usage

Suppose you want to estimate the population within 10 km of Times Square, New York City:

  • Latitude: 40.7128
  • Longitude: -74.0060
  • Radius: 10 km
  • Population Density (New York City): 10,000 people/km²

Calculation: π × (10²) × 10,000 = 314,159 people (approximately)

Limitations

This calculator provides an estimate based on uniform population distribution. In reality, population distribution is often uneven, with higher concentrations in urban areas and lower densities in rural regions. For more accurate results in specific areas, consider using detailed population data from local government or research organizations.