Rhombus ABCD: Angle A opposite diagonal BD, Angle B opposite diagonal AC, height h between opposite sides.
Online calculators to calculate the area, perimeter, diagonals and angles of a rhombus.
The notations to be used for the inputs to the calculator are the one adopted in the figure of the rhombus ABCD shown below. Angle A is opposite diagonal BD and angle B is opposite diagonal AC. h is the distance between two opposite sides of the rhombus; it is called the height.
Rhombus ABCD: Angle A opposite diagonal BD, Angle B opposite diagonal AC, height h between opposite sides.
There are four calculators and solvers that may be used depending on which parameters you have and what you need to know.
NOTE: all four sides of the rhombus are equal in length and \( \angle A = \angle C \) and \( \angle B = \angle D \)
Let \(a\) be the side length, \(p\) and \(q\) the diagonals, \(h\) the height, and \(A\), \(B\) the interior angles. Then:
\[ \begin{aligned} &\text{Area:}\quad \text{Area} = a^2 \sin A = \frac{p \, q}{2} = a \cdot h \\[4pt] &\text{Perimeter:}\quad P = 4a \\[4pt] &\text{Diagonals:}\quad p = a\sqrt{2-2\cos A},\quad q = a\sqrt{2+2\cos A} \\[4pt] &\text{Height:}\quad h = a \sin A \end{aligned} \]