Square
Definition and formulas of squares
A square is a regular quadrilateral. It has four equal sides and four equal angles (90 degree angles or right angles). It can also be defined as a rectangle with two adjacent sides of equal length. It is the only regular polygon whose angles are all the same (90°) and whose diagonals are all the same length.
A square has the following properties
 It has four sides of equal length
 All corners are right angles
 Both diagonals have the same length
 The intersection of the diagonals is the center of the circle and the center of symmetry. The square is both a chord and a tangent quadrilateral.
 The area of the circumference is twice as large as that of the incircle.
 It has 4 axes of symmetry: the two perpendicular bisectors and the two diagonals.
 It is 4fold rotationally symmetrical and therefore also pointsymmetrical.
Construction with a given diagonal
Mathematical formulas squared
Area
Perimeter
Diagonal
Incircle radius
Perimeter radius
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