# Square Calculator

A Square is a 4-sided regular polygon with all sides equal and all internal angles 90 degree. It is a four sided polygon characterized by right angles and sides of equal length.

## Square Calculator

This square calculator is used to find a square's area, perimeter, and diagonal with the help of a given length.

## What is a square?

A square can also be defined as a rectangle with all sides equal, a rhombus with all angles equal, or a parallelogram with equal diagonals that bisect each other.

1. The diagonals of a square bisect each other and meet at 90 degrees
2. The diagonals of a square bisect its angles.
3. The diagonals of a square are perpendicular.
4. Opposite sides of a square are both parallel and equal lengths.
5. All four angles of a square are equal. (Each is 360°/4 = 90 degrees, so every angle of a square is a right angle.)
6. The diagonals of a square are equal.

### Formula

• Area of square: [(side)²]
• Perimeter of square: [4(side)]
• Diagonal of square: [(side) (sqrt(2))]

## How to Calculate the Area, Perimeter, and Diagonal of a Square?

Example

Calculate the Area, Perimeter, and Diagonal of a Square whose length is 10 cm.

Solution:

Apply Formula:

Step1Area of square: [(side)²]

Area of square = 102 = 100

Step 2Perimeter of square: [4(side)]

Perimeter of square=4*10 = 40

Step 3Diagonal of square: [(side) (sqrt(2)) ]

Diagonal of square=10 * sqrt(2) =10*1.41 = 14.1