RedCrab Math Tutorial
 

    Points   Distance   Lines   -   Angle   Triangles   Right-Triangles   -  
    Circle   Square   Rectangle   Rhombus   Rhomboid   Trapezoid   -   Sphere   Pyramid  
Rhombus

A rhombus is a quadrangular geometric shape and has the following characteristics

  • All four sides are the same length
  • The angles of the opposite corners are identical
  • The opposite sides are parallel to each other
 

Properties for the calculation

  • Length

  • Height

  • Area

  • Perimeter

  • Long diagonal

  • Short diagonal

  • Angle Alpha

  • Angle Beta

a

h

A

P

e

f

α

β

 
 
Formulas for calculation
  • Area
A = a · h A=(e · f)/2 A=a2 · sin(α)
  • Length
a = A / h a= √(e/2)² + (f/2)²  
  • Height
h = A / a h = sin(α) · a b = sin(β) · a
  • Perimeter
P = 4 · a P = 4 · h / sin(α) P = 4 · h / sin(β)
  • Long diagonal
e = h / sin(α/2) e = a · sin(β) / sin(α/2) e = 2 · a · cos(α/2)
  • Short diagonal
f = h / sin(β/2) f = a · sin(α) / sin(β/2) f = 2 · a · cos (β/2)
  • Angle Beta
β = asin(h/a)    
       
 
Example with the RedCrab Calculator
  • For the calculation, the object r of the class Rhombus is used
 
External References
 
           
  Products RedCrab Calculator RedCRab Manual  
      RedCrab Software - Singapore - Sengkang West Way




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