Area Of A Square And Calculator. Definition And Formula

Math Open Reference Home Contact About Subject Index Area of a Square The number of square units it takes to completely fill a square. Formula: Width × Height Try this Drag the orange dots to move and resize the square. As the size of the square changes, the area is recalculated.

Area formula

The area of a square is given by the formula But since the width and height are by definition the same, the formula is usually written as where s is the length of one side.

In strictly correct mathematical wording the formula above should be spoken as "s raised to the power of 2", meaning s is multiplied by itself. But we usually say it as "s squared". This wording actually comes from the square. The length of a line s multiplied by itself, creates the square of side s. Hence "s squared".

Calculator

ENTER ANY ONE VALUE
Side clear
Perimeter clear
Area clear
Diagonal clear
Calculate Clear

Use the calculator above to calculate the properties of a square.

Enter any one value and the other three will be calculated. For example, enter the side length and the area will be calculated.

Similarly, if you enter the area, the side length needed to get that area will be calculated.

The "diagonals" method

If you know the lengths of the diagonals, the area is half the product of the diagonals. Since both diagonals are congruent (same length), this simplifies to:

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