 # 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

Formula

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

Related Article: A square can also be defined as a rectangle with all sides equal, or 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.

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