Population Density

GCSELevel 4-5WJEC

Population Density

Population density tells us how many people are living in a given location. It is often given in people per $\text{km}^2$, which means in an area, approximately how many people live in each $\text{km}^2$

Level 4-5GCSEWJEC

Calculating Population Density

To calculate population density, you need to know the population of an area and the size of an area.

The equation for population density is:

$\text{Population density} = \dfrac{\text{Population}}{\text{Land Area}}$

If somewhere is crowded, it will have a high population density, and if somewhere is sparsely populated, it will have a low population density.

Level 4-5GCSEWJEC
Level 4-5GCSEWJEC

Example 1: Calculating Population Density

Calculate the population density of Boston given that it has a population of $650000$ and an area of $230\text{ km}^2$.

[2 marks]

To calculate this, we will use the equation.

$\text{Population density} = \dfrac{\text{Population}}{\text{Land Area}}$

$\text{Population density} = \dfrac{650000}{230}$

$\text{Population density} = 2826\text{ people}/\text{km}^2$ to the nearest whole number.

Level 4-5GCSEWJEC

Example 2: Using the Equation

San Francisco has a population density of $1350\text{ people}/\text{km}^2$ and a population of $810000$

Work out the area of San Francisco.

[3 marks]

We will use the equation again, but will have to rearrange it:

$\text{Population density} = \dfrac{\text{Population}}{\text{Land Area}}$

$1350 = \dfrac{810000}{\text{Land Area}}$

Rearrange:

$\text{Land Area} = \dfrac{810000}{1350}$

$\text{Land Area} = 600\text{ km}^2$

Level 4-5GCSEWJEC

Population Density Example Questions

$\text{Population Density}=210000\div270\\$ $= 778\text{ people}/\text{km}^2$

Gold Standard Education

Birmingham:

Population density $= 1200000\div270\\$

Population density $=4444\text{ people}/\text{km}^2$

Manchester:

Population density $= 500000\div115\\$

Population density $=4347\text{ people}/\text{km}^2$

Therefore, Birmingham has a higher population density.

Gold Standard Education

Put the figures we know into the equation:

$4546=\dfrac{\text{Population size}}{110}$

Rearrange:

$\text{Population size}=4546\times110$

$\text{Population size}=500060$