Square

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 4-fold rotationally symmetrical and therefore also point-symmetrical.

Construction with a given diagonal

Mathematical formulas squared

Area

Perimeter

Diagonal

Incircle radius

Perimeter radius

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