This website uses cookies for advertising and to provide a better experience. Policy
xGeometry

Square

Side
$$S$$
Diagonal
$$d$$
$$2p = S \times 4$$
Perimeter
$$S = \frac{2p}{4}$$
$$A = {S}^{2}$$
Area
$$S = \sqrt{A}$$
$$d = S \sqrt{2}$$
Diagonal
$$S = \frac{d}{\sqrt{2}}$$
$$A = \frac{{d}^{2}}{2}$$
Area
$$d = \sqrt{2A}$$
Definition
A square is a polygon with four sides and four congruent angles (right angles)
Properties
  1. Four congruent sides
  2. Four congruent right angles
  3. Diagonals are perpendicular
  4. The diagonal makes two right congruent triangles. In particular every triangle has angles of 45°, 45°, 90°