Main area
Enter the data and press Calculate
Rhombus area calculator
Calculate rhombus area from diagonals or from side and angle. Includes perimeter and height.
Rhombus area
Calculate with diagonals, side + height, or side + angle. Includes unit conversion, perimeter, and formulas.
Input data
e.g. 12.5
Accepts comma or dot decimals
e.g. 9
Perpendicular diagonals
e.g. 6
All sides have the same length
e.g. 4.5
Perpendicular to the side
e.g. 7
Rhombus side length
0–180
Interior angle between sides
0–10
Output rounding
Results
Side (a)
—
Height (h)
—
Angle (θ)
—
Diagonals (d₁, d₂)
—
Perimeter (P = 4a)
—
Area conversions
mm²
—
cm²
—
m²
—
in²
—
ft²
—
Includes every output and unit
Formulas used
- From diagonals: A = (d₁ · d₂) / 2, a = ½·√(d₁² + d₂²)
- From side and height: A = a · h, h = a · sin(θ)
- From side and angle: A = a² · sin(θ), d₁ = a·√(2+2cosθ), d₂ = a·√(2-2cosθ)
- Perimeter: P = 4a
- Angle from diagonals: cosθ = (d₁² − d₂²) / (d₁² + d₂²)
How to compute the area of a rhombus
The area of a rhombus can be obtained in several ways depending on the data you have. With the diagonals, simply multiply them and divide by two. If you know the side and the height, the area is the direct product of both. With the side and an interior angle, the formula relies on the sine of that angle.
Our calculator converts every magnitude to metres under the hood, but it displays the final values in the unit you pick. This makes it easy to switch from millimetres to feet or inches, and also see the resulting perimeter, height, diagonals, and acute angle.
Quick example
Imagine a rhombus with diagonals of 14 cm and 9 cm. The area is \( A = (14·9)/2 = 63\ ext{cm}^2 \). From them we obtain a side of 8.3 cm, a perimeter of 33.1 cm, and a height of 6.9 cm. The calculator repeats the same process for any combination of data and adjusts the conversions so you can document your exercises.
How do you find the area of a rhombus?
Use \( A = (d_1·d_2)/2 \) when both diagonals are known. With side and height, simply multiply: \( A = a·h \). If you have the side and an interior angle, apply \( A = a^2·\sin( heta) \); the tool automatically applies the correct formula based on the method you select.
Which units are supported and how are results shown?
Enter lengths in meters, centimeters, millimeters, inches, or feet. The calculator converts everything to meters to avoid errors and then outputs the main area in the chosen unit² along with conversions to mm², cm², m², in², and ft².
Does it also provide perimeter, diagonals, and height?
Yes. From the data you enter, the tool completes perimeter \( P = 4a \), height, acute angle, and both diagonals. You can copy everything with the “Copy results” button for quick documentation.
