If you forgot how to find the area of a square, you're in the right place - this simple area of a square calculator is the answer to your problems. Whether you want to find the area knowing the square side or you need to calculate the side from a given area, this tool lends a helping hand. Read on and refresh your memory to find out what is the area of a square and to learn the formula behind the calculator. If you also need to calculate the area and diagonal of a square, check out this square calculator.
How to find the area of a square - formulas
The area of a square is the product of the length of its sides:
area = a * a = a², where
ais a square side
Other formulas also exist. Depending on which parameter is given, you can use the following equations:
What is the area of a square?
The area of a square is a number of square units needed to completely fill a square. To understand that definition, let's have a look at this picture of a chessboard:
The board has a squared shape, with its side divided into eight parts, in total it consists of 64 small squares. Assume that one small square has a side length equal to 1 in. The area of such square may be understood as the amount of paint necessary to cover the surface. So, from the formula for the area of a square, we know that area = a² = 1 in², and it's our unit of area in chessboard case (amount of paint). The area of 2x2 piece of the chessboard is then equal to 4 squares - so it's 4 in² and we need to use 4 times more "paint". Full chessboard area equals 84 in²: 8 in * 8 in from the formula or it's just 64 small squares with 1 in² area - so we need 64 times more "paint" than for one single square.
You may also be interested to check out the area of the largest square in a circle!
How to use the area of a square calculator
Let's give the area of a square calculator a try!
- Find out the given value. In our example, assume we know the side and we want to calculate the area.
- Type it into proper box. Enter the value, e.g. 11 inches, into side box.
- The area appears! It's 121 in². If you are interested how many square feet it is, change the unit by clicking on the unit name.