Computations on quadrilaterals

Quadrilaterals are polygons with four sides.
Common ones are squares (4 sides of same size with right angles), rectangles (4 sides with right angles) and rhombus (4 sides of the same length).
Squares, rectangles and rhombus are parallelograms ; it means they are quadrilaterals with two pairs of parallel sides. the opposite sides are of equal length and their diagonals cross in the middle, which is the symetry center.
This calculator enables you to perform some computations on these quadrilaterals like finding the area (surface), diagonal, perimeter (sum of sides length) from the sides or reverse.

Enter a value in the second column of following tables and computations of other values will be performed automatically (if ther is enough data).

Calculations on a square :

Compute area or diagonal of a square from its side.
Here are the relationships :
Area = Side²
Diagonal = Side x √2
Perimeter = 4 x Side
apothem = Side/2

area in m2
side AB in metre m
diagonal AC in metre m
perimeter ABCDA in metre m

Calculations on a rectangle

Compute area of a rhombus from its diagonals.
Here are the formulas :
Area = Diagonal AC x Diagonal DB/2
Perimeter = 4 x Side
Side = √((Diagonal AC/2)²+(Diagonal DB/2)²)

area in m2
width w in metre m
length L in metre m
diagonal D in metre m
perimeter 2w+2L in metre m
angle α in degree °

Calculations on a rhombus

Compute area of a rhombus from its diagonals.
Some formulas :
Area=Diagonale AC*Diagonale BD/2
Perimeter=4 x Side

area in m2
side AB in metre m
diagonal DB in metre m
diagonal AC in metre m
perimeter ABCDA in metre m
angle α in degree °
angle β in degree °

Pentagon calculations
Hexagon calculations
Heptagon calculations
Octagon calculations

Computations on quadrilaterals

Calculations on a square :

Calculations on a rectangle

Calculations on a rhombus

Note

Lots pages :

Keywords