Square

A square is a shape with four equal sides and four corners that are all right angles (90 degrees). The diagonals of a square also cross at right angles. The angle between any diagonal and a side of a square is 45 degrees. A square has rotational symmetry of four. It has four lines of regular symmetry. A square with vertices A, B, C and D can be written as $◻ A B C D$ .

A square is a type of rectangle with all sides of equal length. However, while a square is a type of rectangle and rhombus, the opposite does not need to be true.

A square is also the 2-dimensional surface of a cube.

Formulas

If the length of side a is known, then we have that:


Perimeter	$4 a$
Area	$a^{2}$
Length of diagonal	$\sqrt{2} a$

If the length of diagonal d is known, then we have that:


Length of side	$\frac{d}{\sqrt{2}}$
Perimeter	$2 d \sqrt{2}$
Area	$\frac{d^{2}}{2}$

Related pages

References

↑ "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-02.
1 2 Weisstein, Eric W. "Square". mathworld.wolfram.com. Retrieved 2020-09-02.
↑ "Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram". www.mathsisfun.com. Retrieved 2020-09-02.
1 2 "Square. Formulas and Properties of a Square". onlinemschool.com. Retrieved February 17, 2018.

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[1] "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-02.

[:0-2] 1 2 Weisstein, Eric W. "Square". mathworld.wolfram.com. Retrieved 2020-09-02.

[3] "Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram". www.mathsisfun.com. Retrieved 2020-09-02.

[ms-4] 1 2 "Square. Formulas and Properties of a Square". onlinemschool.com. Retrieved February 17, 2018.