Square □

A square is a basic shape which has four equal sides and four equal right angles (90°).

Definitions:
  • a: Edge Length
  • d: Diagonal
  • U: Perimeter
  • A: Area
a a U d U

Perimeter of a Square

The perimeter U is the length of all 4 sides.

\(U=4*a\)
U = Perimeter
a = Edge Length
\(U=2*sqrt(2)*d\)
U = Perimeter
d = Diagonal

a A d A

Area of a Square

The region inside a square.

\(A=a^2\)
A = Area
a = Edge Length
\(A=d^2/2\)
A = Area
d = Diagonal

a d

Pythagorean Theorem

\(d=sqrt(2*a^2)\)
d = Diagonal
a = Edge Length
\(a=sqrt( d^2/2 )\)
a = Edge Length
d = Diagonal