Square Formulas

What is a Square?

A square is a geometric shape with four equal sides and four right angles. Each side of a square is parallel to the opposite side, and all angles are 90 degrees. In a square, the diagonals are equal in length and bisect each other at right angles. Squares are a type of quadrilateral, which is a polygon with four sides. They have various applications in mathematics, architecture, engineering, and everyday life....

Square Shape

A square is a type of four-sided shape known as a polygon. What makes a square unique is that all of its sides have the same length, and all of its angles measure exactly 90 degrees. When you cut a square perfectly in half using a plane that passes through its center, both resulting halves will be mirror images of each other....

Square Examples

A square is a very common shape and can be seen in a variety of objects which we use in our daily lives. Various Square-shaped objects are chess boards, carrom boards, Ludo, etc....

Properties of Square

Some general properties of the square are :...

Square Formulas

We know that a square is a four-sided figure with equal sides. There are three basic square formulas that are commonly used in geometry for squares are,...

Area of Square

Area of a square is defined as the total space occupied inside its boundaries. The formula for calculating the area of a square with sides ‘a’ is given by the formula,...

Perimeter of Square

Perimeter of a square is defined as the length of all its boundaries. Suppose the length of the sides of a square is ‘a’ then its perimeter is given by...

Diagonal of Square

Diagonals of square is equal to a√2, where a is the side of the square. The length of both diagonals of a square is equal to each other. The relation between diagonals and sides of a square is given by Pythagoras Theorem....

Construction of Square

Square in geometry can be constructed using the steps added below,...

Applications of Squares in Real Life

Floor tiles often come in square shapes, providing a uniform and tidy appearance. Many rooms in buildings have square or rectangular layouts, making them easier to design and construct. Squares are fundamental to geometry and algebra, used in various calculations and equations. Digital images are composed of square pixels arranged on a grid, forming pixel art. Screens of electronic devices like computer monitors and smartphones are often square or rectangular. Integrated circuits, the building blocks of electronic devices, are typically manufactured on square silicon wafers. Chess and checkers boards feature square grids, offering a strategic playing field. Many packages and storage containers are square or rectangular for efficient stacking and storage. Books generally have square or rectangular pages, making them easy to store on shelves and in boxes. Agricultural fields are often laid out in square or rectangular shapes for efficient land use and irrigation. Many sports fields and courts, including those for soccer, football, basketball, and tennis, have square or rectangular boundaries. Board games like Scrabble, Sudoku, and crossword puzzles often use square grids or boards....

Examples on Squares

Some Examples on Square Formulas are,...

Practice Questions on Square

Various practice questions on square are,...

Summary – What is Square

Squares are four-sided shapes where all sides are equal, and all angles are 90 degrees. They’re found in various objects like chessboards, rooms, and electronic screens. Key properties include equal sides, parallel opposite sides, and perpendicular bisecting diagonals. Basic formulas for squares include area (side squared), perimeter (4 times the side length), and diagonal length (side length times square root of 2). Squares are everywhere in real life, from floor tiles to electronic screens to board games. They’re preferred for their simplicity, symmetry, and ease of measurement....

What is Square – FAQs

What is a Square in Maths?...