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 4-fold rotationally symmetrical and therefore also point-symmetrical.
Construction with a given diagonal
Mathematical formulas squared