# Square Kilometers and Square Feet Converter

This converter allows for the conversion between the largest unit of area within the metric system, the square kilometer, and a very common unit of area within the imperial system, the square foot.

Start by choosing between the American and British spelling of the word kilometer, which is spelled ‘kilometre’ in the British style of spelling.

Choose your input unit in the ‘* CONVERT FROM’* and your output unit in the ‘

*sections. If you want to swap the order of the preselected units, you can simply click on the icon with the two arrows headed in opposite directions. The possible choices are identical for both sections between the square kilometers (km*

**CONVERT TO**’^{2}) and the square feet (ft

^{2}).

Type the input value into the ‘* VALUE TO CONVERT’ *section, choose the number of decimal places you want your result rounded toward, and click on ‘

*.*

**CONVERT**’Your result will appear below the converter as a decimal number rounded to the desired number of decimal places.

Additionally, a conversion rate between the input and output unit will appear alongside a convenient ‘* COPY’* icon next to the result, which will allow you to easily copy the result and paste it elsewhere if needed.

**Converting Square Kilometers and Square Feet Manually**

In order to convert between the two units manually, we must determine the conversion rate between a kilometer and a foot.

The reason why we start with the conversion rates of the units of length is, that both of the square units of area are determined by them, as a square kilometer is identical in size to a square with a side length of 1 km, while a square foot is identical in size to a square with a side length of 1 foot.

Hence, we start by defining the following two relationships:

Ratio | Decimal |
---|---|

Feet:Kilometers | 1:0.0003 |

Kilometers:Feet | 1:3,280 |

To change these relationships of length into relationships of area, we put all the values within each conversion rate to the power of two. This is what happens.

Area Ratio | Decimal^{2} | Decimal |
---|---|---|

ft^{2} to km^{2} | 1^{2}:0.0003^{2} | 1:0.00000009 |

km^{2} to ft^{2} | 1^{2}:3,289^{2} | 1:10,817,521 |

The values we received are rounded for convenience. For more accurate results, use our converter.

Now that we have the conversion rates, two formulae can be created for converting between the units.

km^2 = ft^2 * 0.00000009

ft^2 = km^2 * 10,817,521

The usage of these two formulae is demonstrated in the examples below.

**EXAMPLE 1: ***A castle is built on land with an area of 123,500 ft*^{2}. How many km^{2} does the area of this castle cover?

^{2}. How many km

^{2}does the area of this castle cover?

Our input unit is ft^{2}, while our output is km^{2}. This makes the first formula more suitable for solving this problem, as we simply substitute 123,500 instead of ft^{2} and perform a multiplication.

km^2 = ft^2 * 0.00000009 \\= 123,500 * 0.00000009 \\= 0.011115 ~km^2.

**EXAMPLE 2: ***A golf course covers an area of 1.2 km*^{2}. How many ft^{2} does this golf course cover?

^{2}. How many ft

^{2}does this golf course cover?

For this problem, the second equation is more suitable due to the fact that now km^{2} is our input, while ft^{2} is the output. We substitute 1.2 for km^{2} and solve as follows.

ft^2 = km^2 * 10,817,521 \\= 1.2 * 10,817,521 \\= 12,981,025.2 ~ft^2.

**The World’s Largest Countries**

When measuring areas of countries, km^{2} are the most preferred metric unit to do so. The list below shows us the areas of the 5 biggest countries in the world.

COUNTRY | AREA IN KM^{2} |
---|---|

Russia | 17,098,242 km² |

Canada | 9,984,670 km² |

United States | 9,833,520 km² |

China | 9,706,961 km² |

Brazil | 8,515,767 km² |

**Resources**

https://theworldtravelguy.com/largest-countries-in-the-world/