Enter the population and the population density into the calculator to determine the radius of the area that the population occupies.
Population Radius Formula
The following formula is used to calculate the radius of the area that a population occupies based on the population density.
R = sqrt{frac{P}{pi cdot D}}Variables:
- R is the radius of the area (miles)
- P is the population
- D is the population density (people per square mile)
To calculate the radius of the area, divide the population by the product of pi and the population density, then take the square root of the result.
What is Population Radius?
Population radius is a measure of the distance from the center of an area to its boundary, within which a certain population is contained, given a uniform population density. This concept is useful in urban planning, geography, and demography to understand how densely populated an area is and to estimate the spread of a population in a circular area.
How to Calculate Population Radius?
The following steps outline how to calculate the Population Radius.
- First, determine the total population (P).
- Next, determine the population density (D) in people per square mile.
- Next, gather the formula from above = R = sqrt{frac{P}{pi cdot D}}.
- Finally, calculate the Population Radius (R) in miles.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Population (P) = 100,000
Population Density (D) = 1,000 people per square mile
