# Area Of A Square Formula

## Area of a Square Formula

A square is a flat geometric figure or a shape with four equal sides and angles that are all right angles, or 90°. This implies that the opposing sides are parallel as well. It is often referred to as a rectangle with equally long adjacent sides. By counting the square’s occupied space, one can determine the square’s area. The equation to determine a square’s area is shown below. It belongs to the class of geometric quadrilaterals that is well recognised. Simply put, a square is a special instance of a regular polygon with four equal sides. A square has all the same features and characteristics as are mentioned for regular polygons. The space encircled by the square’s perimeter is referred to as its area. The Area Of A Square Formula is a2, where a is the square’s side’s length.

## What is Area?

The area of every figure is the 2-D space that it takes up. The area is calculated using square measurements. The SI unit used to measure area is m2. Several predefined formulas are used to calculate the areas of various figures, including the Area Of A Square Formula. The area of a figure is the area contained inside the borders of the figure. It is a physical measurement that provides an idea of how much space an object occupies. A square is a two-dimensional (2D) figure with four equal-length sides. The idea of a square’s area falls within the category of mensuration, which is the study of two- and three-dimensional object measurements. The measurements of a figure include things like length, perimeter, area, and volume.

### Area of Square

A square is a regular quadrilateral in Euclidean geometry because it has four equal sides and four equal angles (right angles or 90-degree angles). It can alternatively be explained as a rectangle with two neighbouring sides that are of equal length. It is the only regular polygon whose diagonals are all the same length and whose internal, central, and external angles are all identical (90°). The region inside an object’s perimeter is known as the area. The number of square units required to completely fill a square is known as the area of the square.

### How to Find Area of a Square?

One needs to know the length of any of the square’s sides in order to determine its area. By squaring the length of any one of the square’s sides, the area of the shape can be determined.

### Area of Square (if Sides are given)

The Area Of A Square Formula when its sides are given is a2. Here, a is the side of the square.

### Area of Square (if Diagonal is Given)

Assuming the diagonal length is known, the area of the square,

Area = (1/2) × d2

where,

D is the diagonal’s length.

### Area of Square (if Perimeter is Given)

Even with only knowing a square’s perimeter, one can still determine its area. The formula for a square’s perimeter is 4 times the sides. By dividing Perimeter by 4, one can use the aforementioned calculation to determine the side length. Side length(s) equals Perimeter / 4. The Area Of A Square Formula can be used to calculate the square’s area using the side length.

### Solved Examples on Area of Square

Solved examples on Area Of A Square Formula are available at Extramarks.