Square

A square is a regular quadrilateral.

Basic Properties

It has 4 sides

All angles are equal to 90 degrees.

All sides are equal and opposite sides are parallel.

Both diagonals are equal

Diagonals are equal

Diagonals bisect each other at 90 degrees

The equation for a square is $\lim _{ n\rightarrow \infty }{ \left[ { \left| x \right| }^{ n }+{ \left| y \right| }^{ n } \right] } =1$

A square can be called a:-

Parallelogram

Rectangle

Rhombus

Quadrilateral

Polygon

Kite

Trapezium

and much more......!

The area of a square is a perfect square if it has integer sides.

Area

Side Known (A) - ${ A }^{ 2 }$

Diagonal Known (A) - $\frac { { A }^{ 2 } }{ 2 }$

Perimeter known (A) - $\frac { { A }^{ 2 } }{ 16 }$

Inradius Known (A) - $4{ A }^{ 2 }$

Circumradius Known (A) - $2{ A }^{ 2 }$

The perimeter of a square can be easily determined by adding up the length of sides.

Perimeter

Side Known (A) - $4A$

Diagonal Known (A) - $2\sqrt { 2 } A$

Inradius Known (A) - $8A$

Circumradius Known (A) - $4\sqrt { 2 } A$