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 <math>\square ABCD</math>.[1][2]
A square is a type of rectangle with all sides of equal length. However, while a square is a type of rectangle and rhombus,[3] the opposite does not need to be true.
A square is also the 2-dimensional surface of a cube.
Formulas[change]
If the length of side a is known, then we have that:[2]
| Perimeter | <math>4a</math> |
| Area | <math>a^2</math> |
| Length of diagonal | <math>\sqrt{2}a</math> |
If the length of diagonal d is known, then we have that:
| Length of side | <math>\frac{d}{\sqrt{2}}</math> |
| Perimeter[4] | <math>2d\sqrt{2}</math> |
| Area[4] | <math>\frac{d^2}{2}</math> |
Related pages[change]
References[change]
- ↑ "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-02.
- ↑ 2.0 2.1 Weisstein, Eric W. "Square". mathworld.wolfram.com. Retrieved 2020-09-02.
- ↑ "Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram". www.mathsisfun.com. Retrieved 2020-09-02.
- ↑ 4.0 4.1 "Square. Formulas and Properties of a Square". onlinemschool.com. Retrieved February 17, 2018.
