Area and perimeter of a rhombus

A rhombus is a quadrangle, all sides of which are equal in length but do not form a right angle.
The diagonals are not the same length, but they are perpendicular to one another and halve one another.
The height is the perpendicular distance between two opposite edges.

rhombus

a	edge
d_1,2	diagonals
h	height
α_1,2	angle
c	incircle
r	radius (incircle)
O	center

Calculator

Select the units of measurement

Enter 2 values

edge

a =

height

h =

diagonal

d₁ =

diagonal

d₂ =

circumcircle (radius)

R =

angle

α₁ =

angle

α₂ =

area

A =

perimeter

P =

Error

Round to decimal place

Calculation procedure

Formulas

rhombus

area

$$ A = a \cdot h = \frac{d_1 \cdot d_2}{2} $$

perimeter

$$ P = 4 \cdot a = 2 \cdot\sqrt{d_1^2 + d_2^2} $$

height

$$ h = a \cdot\sin\alpha_1 = a \cdot\sin\alpha_2 $$

diagonal

$$ d_{1,2} = a \cdot\sqrt{2 - 2 \cdot\cos\alpha_{1,2}} $$

angle

$$ \alpha_1 + \alpha_2 = 180^\circ $$

incircle (radius)

$$ r = \frac{h}{2} $$

Area and perimeter of a rhombus

rhombus

Calculator

Select the units of measurement

Enter 2 values

edge

height

diagonal

diagonal

circumcircle (radius)

angle

angle

area

perimeter

Error

Calculation procedure

Formulas

rhombus

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