Square (Geometry)
(Jump to Area of a Square or Perimeter of a Square)
A Square is a flat shape with 4 equal sides and every angle is a right angle (90°)
the little squares in each corner mean "right angle"
 |
All sides are equal in length |
|
Each internal angle is 90° |
|
Opposite sides are parallel (so it is a Parallelogram). |
Play with a square:
A square also fits the definition of a rectangle (all angles are 90°), a rhombus (all sides are equal length), a parallelogram (opposite sides parallel and equal in length) and a regular polygon(all angles equal and all sides equal). What a hero!
Area of a Square
 |
The Area is the side length squared: Area = a2 = a × a |
Example: A square has a side length of 6 m, what is its Area?
Area = 6 m × 6 m = 36 m2
 |
The Area is also half of the diagonal squared:
Area = d22 |
Perimeter of a Square
The Perimeter is the distance around the edge.
 |
The Perimeter is 4 times the side length: Perimeter = 4a |
Example: A square has a side length of 12 cm, what is its Perimeter?
Perimeter = 4 × 12 cm = 48 cm
Diagonals of a Square
A square has two diagonals, they are equal in length and intersect in the middle.
 |
The Diagonal is the side length times the square root of 2: Diagonal "d" = a × √2 |
Example: A square has a side length of 5 m, what is the length of a diagonal?
Calculator
Enter the side length, area, diagonal or perimeter and the other values are calculated live.