A rhombus is a four-sided polygon with all sides equal. Opposite sides are parallel and opposite angles are equal.

Rhombus Area Calculator delivers instant and accurate results for
area, perimeter, side, height, and angles — all from just two known values.

It supports calculations using diagonals, side + height, or side + angle,
with automatic unit conversion between inches, feet, centimeters, and meters.

Rhombus Area Calculator – diagonals, side & height, or side & angle.

Rhombus Area ⇌ Triangle Area Calculator · Rectangle Area Calculator · Trapezoid Area Calculator

Mode: Diagonals d₁ + d₂

Area: —

Conversion Formula: A = d₁·d₂ / 2

Tip: Perimeter P = 4a · Height h = a·sinθ · Diagonals: d₁ = a√(2+2cosθ), d₂ = a√(2−2cosθ)

Rhombus Area Calculator – Find Area, Perimeter & Angles

Q: What is the area of a rhombus?

The area can be found using A = (d₁ × d₂)/2, A = a × h, or A = a² × sin θ depending on known values.

Q: How do you find the area of a rhombus?

Use the formula matching your inputs: diagonals, side and height, or side and angle.

Q: How to find area of 4 unequal sides?

A rhombus cannot have four unequal sides. Use Bretschneider’s formula or a Trapezoid/Quadrilateral calculator instead.

Q: Is a square a rhombus?

Yes. Every square is a rhombus with right angles, but not every rhombus is a square.

Q: Is a rhombus 180 or 360?

The total of interior angles in a rhombus is 360 degrees.

Q: Is the formula of rhombus?

A = (d₁ × d₂)/2, A = a × h, or A = a² × sin θ are the standard formulas for rhombus area.

Q: Rhombus perimeter Formula

The perimeter formula is P = 4a, where a is the side length.

Q: Rhombus area calculator with perimeter

If you know the perimeter, find a = P/4 and then apply A = a × h or A = a² × sin θ to compute the area.

The Rhombus Area Calculator instantly computes area, perimeter (P = 4a), height (h), and interior angles from just two inputs.
It supports quick unit conversion across in, ft, cm, and m, and provides clean, copy-ready results for reports and drawings.

Whether you have the diagonals, side and height, or side and angle, the tool resolves the rest in one click — perfect for geometry, drafting, and construction takeoffs.

💡 Tip: Keep inputs in the same unit. The calculator auto-converts outputs to your preferred unit set.

How the Rhombus Area Calculator Works – Modes & Key Results

Choose the mode that matches your known values — the calculator derives all remaining dimensions automatically.

Diagonals (d₁ + d₂): Enter both diagonals.
Computes Area A = (d₁ × d₂) / 2, side a, height h, acute/obtuse angles, and Perimeter P = 4a.
Side + Height (a + h): Enter a side and its perpendicular height.
Computes Area A = a × h, both angles, diagonals, and P = 4a.
Side + Angle (a + θ): Enter a side and an interior angle.
Computes Area A = a² · sin θ, h = a · sin θ,
diagonals via d₁ = a√(2 + 2cos θ), d₂ = a√(2 − 2cos θ), and P = 4a.

💡 Tip: If your inputs are diagonals, expect the fastest workflow for area. If you’re designing to a specific slope/angle, use Side + Angle.

Rhombus Area Formula (Quick Sheet)

This section provides a concise summary of all key rhombus formulas — ideal for quick reference and classroom or field use.

Using diagonals: A = (d₁ × d₂) / 2
Using side & height: A = a × h
Using side & angle θ: A = a² × sin θ
Perimeter: P = 4a
Diagonal formulas (from a & θ): d₁ = a√(2 + 2cos θ), d₂ = a√(2 − 2cos θ)
Height from side & θ: h = a·sin θ

💡 Tip: When both diagonals are known, the formula A = (d₁ × d₂)/2 is the fastest and most accurate method for any rhombus.

How do you find the area of a rhombus?

To calculate the area of a rhombus, follow these simple steps depending on which measurements you know:

Step 1 – Choose your known values: either the two diagonals (d₁, d₂), side and height (a, h), or side and angle (a, θ).
Step 2 – Apply the corresponding formula:
A = (d₁ × d₂) / 2 or
A = a × h or
A = a² × sin θ
Step 3 – Keep your units consistent: make sure all inputs use the same unit system (in, cm, ft, or m) for accurate results.

💡 Tip: The fastest and most accurate approach is using both diagonals — especially when angles or heights aren’t directly known.

Example Calculations

Here are practical examples showing how the Rhombus Area Calculator works across its three modes — diagonals, side & height, and side & angle:

1) Using Diagonals:
d₁ = 10 in, d₂ = 14 in →
A = 70.00 in², side ≈ 8.60 in, height ≈ 8.14 in,
perimeter ≈ 34.41 in, angles ≈ 71.08° / 108.92°.
2) Using Side + Height:
a = 12 cm, h = 9 cm →
A = 108 cm², perimeter = 48 cm.
3) Using Side + Angle:
a = 8 m, θ = 40° →
A = a² × sinθ = 41.21 m², h = 5.14 m, P = 32 m.

💡 Tip: Try inputting these same values in each calculator mode to see how area, height, and angles are derived from different formulas.

Conversion Table – Common Units

This table shows how area and perimeter values of a rhombus change across unit systems — helping you convert between inches, centimeters, and meters.

d₁ (in)	d₂ (in)	Area (in²)	Area (cm²)	Area (m²)	Perimeter (in)	Perimeter (cm)	Perimeter (m)
10	14	70.00	451.61	0.045	34.41	87.41	0.874
8	12	48.00	309.67	0.031	30.19	76.69	0.767
6	10	30.00	193.55	0.019	24.85	63.13	0.631

💡 Tip: Use these quick conversions —
1 in = 2.54 cm, 1 ft = 12 in, and 1 in² = 6.4516 cm² — to verify your results across different units.

FAQs – Rhombus

What is a rhombus?

A rhombus is a quadrilateral with all sides equal. Opposite sides are parallel, and opposite angles are equal.

What is the area of a rhombus?

You can use A = (d₁ × d₂)/2, or A = a × h, or A = a² × sin θ depending on which values are known.

How do you find the area of a rhombus?

Pick the formula that matches your inputs (diagonals, side+height, or side+angle). The diagonals formula is usually the fastest.

How to find area of 4 unequal sides?

A rhombus cannot have four unequal sides. For a generic quadrilateral, use Bretschneider’s formula or a Trapezoid/Quadrilateral calculator.

Is a square a rhombus?

Yes. Every square is a rhombus with all angles 90°. Not every rhombus is a square.

Is a rhombus 180 or 360?

The sum of interior angles in any quadrilateral (including a rhombus) is 360°.

Is the formula of rhombus?

Main formulas: A = (d₁ × d₂)/2, A = a × h, A = a² × sin θ.

Rhombus perimeter Formula

The perimeter is P = 4a.

Rhombus area calculator with perimeter

If only the perimeter is known, first find the side: a = P/4, then use A = a × h or A = a² × sin θ (you’ll still need height or an interior angle).

💡 Tip: Keep inputs in one unit system (in, ft, cm, m). The calculator can convert outputs for you automatically.

Wrap-Up: Final Notes & Pro Tips

Before you wrap up your calculations, here are quick takeaways and expert tips to get the most from the Rhombus Area Calculator:

Check your inputs: Keep units consistent — inches, cm, ft, or m — to avoid scaling errors.
Switch modes smartly: Try both diagonal and side–angle modes to verify results and learn the relationships between formulas.
Remember: Every square is a rhombus with 90° angles — use the tool to confirm equal sides and right angles.
Quick trick: Need height fast? Divide the area by one side (h = A ÷ a).
Pro move: Use the perimeter output (P = 4a) to jump to related tools —
Parallelogram or
Square calculators.

Related Tools + Final Note

Explore more geometry calculators to compare shapes and validate results across different formulas and dimensions:

Square Area Calculator – verify 90° corners and equal sides.
Parallelogram Area Calculator – every rhombus is a special case of a parallelogram.
Rectangle Area Calculator – width × height, diagonals, perimeter.
Triangle Area Calculator – for any 3-sided triangle.
Trapezoid Area Calculator – two parallel sides (bases) and height.

💡 Final Tip: Use these related tools to confirm geometric relationships — for example, a rhombus becomes a square when all angles equal 90°, or a parallelogram when angles vary.

More on rhombus properties and area —
Wikipedia.