Variables

a
Side of a rhombus
d1, d2
Diagonals
α, β
Angles
h
Height
r
Inscribed circle radius
P
Perimeter
A
Area
1.
Sum of angles
$\alpha + \beta = 90^\degree$
2.
$d_1^2+d_2^2=4a^2$
3.
Rhombus height
$h=a\sin\alpha$
4.
Rhombus height
$h=\dfrac{d_1d_2}{2a}$
5.
Rhombus incircle radius
$r=\dfrac{h}{2}$
6.
Rhombus incircle radius
$r=\dfrac{d_1d_2}{4a}$
7.
Rhombus incircle radius
$r=\dfrac{a\sin\alpha}{2}$
8.
Rhombus perimeter
$P=4a$
9.
Rhombus area
$A=ah$
10.
Rhombus area
$A=\dfrac{d_1d_2}{2}$
11.
Rhombus area
$A=a^2\sin\alpha$