Square Miles and Square Feet Converter

Using the Square Miles and Square Feet Converter

You can use this converter to find equivalent values between 2 imperial units of area, the square mile and the square foot.

Start off by selecting the spelling you want to be displayed throughout the page between the American and the British spelling.

The next step is to choose your input and output units.

The input unit is selected in the ‘CONVERT FROM’ section. You have two options to choose from, which are the square miles (mi²) and the square feet (ft²).

The output units are selected in the ‘CONVERT TO’ section, where the choice is between the same 2 units as before.

You can also simply stick to the default settings or swap them by clicking on the icon with 2 arrows headed in opposite directions.

Now that your input and output values have been selected, you can type the input value into the ‘VALUE TO CONVERT’ section. The value needs to be written as a decimal number using the decimal dot.

Finish up by selecting the number of decimal places you want your result to be rounded toward and then click on ‘CONVERT’.

Your result will appear below the converter as a decimal number rounded to the desired number of decimal places, alongside the conversion rate between square miles and square feet, as well as a convenient ‘COPY’ button, which allows for easy copying and pasting of the result.

Converting Square Miles and Square Feet Manually

The conversion rate is the key to converting units manually.

We can determine the conversion rate of these two imperial units by defining them in terms of length, in this case, feet, and miles.

We know that 1 mile is equivalent to 5,280 feet.

Putting this equivalence to the power of 2 will generate a conversion rate of 1 square mile to square feet.

This is possible, because a square mile is essentially the area of a square with a side length of a mile, while a square foot is equivalent to the area of a square with a side length of a foot.

Hence 1 square mile is equivalent to 5,280 x 5,280 = 27,878,400 mi².

This leads to a conversion rate of square miles to square feet to be 1:27,878,400.

We can generate 2 formulae out of this relationship.

mi^2 = ft^2\div27,878,400

ft^2 = mi^2*27,878,400

The effective usage of the formulae is determined by the input and output values, more specifically we focus on the unit that is the subject of each formula. To calculate the results of conversions manually, it is best to choose a formula where our output value is the subject. Let’s demonstrate this with 2 examples.

EXAMPLE 1: What is the area in square miles of a field that has an area of 50,000,000 square feet? Round your result to 2 decimal places.

Since our input is in square feet and output is in square miles, we will be using the first formula, where square miles are the subject. We substitute 50,000,000 for square feet and count as follows.

mi^2 = ft^2\div27,878,400 \\= 50,000,000\div27,878,400 \\= 1.794 mi^2

We round 1.794 mi² to 1.79 mi² as the final result. Keep in mind that the original result of 1.794 is already rounded to 3 decimal places. For a more accurate result, use our converter.

EXAMPLE 2: What is the area in square feet of a property that has an area of 0.065 mi²?

The second formula is the best choice for solving this problem, as the input is in mi², while the output is in ft². We substitute 0.065 for square miles and calculate as follows.

ft^2 = mi^2*27,878,400 \\= 0.065*27,878,400 \\= 1,812,096 ~ft^2.

The World’s Smallest Places

Despite the square mile being the largest commonly used imperial unit of area, it still requires fairly large values to describe various areas of landmasses and countries in the world. However, it would be interesting to look at some of the world’s smallest places in area, expressed in square miles.

References

https://a-z-animals.com/blog/the-15-smallest-islands-in-the-world/
https://en.wikipedia.org/wiki/Vatican_City
https://www.valamar-experience.com/destinations/istria/hum/
https://fr.wikipedia.org/wiki/Benxi