RedCrab Math Tutorial

# Rhomboid Calculation

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

• It has four sides and four corners
• The angles of the opposite corners are identical
• The opposite sides are parallel to each other and are the same length
• The diagonals have different lengths

## Rhomboid Properties

• Length

• Width

• Height a

• Height b

• Area

• Perimeter

• Lomg diagonal

• Short diagonal

• Angle Alpha

• Angle Beta

a

b

ha

hb

A

P

e

f

α

β

## Rhomboid Formulas

• Area
A = b · ha A = a · hb A=a · b· sin(α)
• Length
a = A / hb a = A / (b · sin(α)) a = A / (b · sin(β))
• Width
b = A / ha b = A / (a · sin(α)) b = A / (a · sin(β))
• Height a
ha = A / b ha = sin(α) · a ha = sin(β) · a
• Hright b
hb = A / a hb = sin(α) ·b hb = sin(β) ·b
• Perimeter
P = 2 ·(a + b) P = 2 · (ha / sin(α)) + (2 · b)
• Diagonal e
e = √a² + b² - 2 · a · b · cos(β)
• Diagonal f
f = √a² + b² - 2 · a · b · cos(α)
• Angle Alpha
α = asin(A / (a · b))

Example with the RedCrab Calculator
• For calculation, the object r of the class Rhomboid is used