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Rhombus Calculator

Find a rhombus's area, perimeter, diagonals and angles from its side and height, or from its diagonals.

Change the values and press Calculate to work out your own figures.

From the side and height

Enter the side and height.

About side (a)The length of a side.
About height (h)The perpendicular height.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the rhombus
20 ft²
Perimeter
20 ft
Diagonal p
4.472135955 ft
Diagonal q
8.94427191 ft
Angle α
53.13010235°
Angle β
126.8698976°

The area of the rhombus is 20 ft².

In other units
AmountUnit
1.8580608m²
18,580.608cm²
20ft²
2,880in²
2.222222222yd²
0.0004591368228acres
Show the working
  1. A = a × h
  2. sin α = h ÷ a
  3. Area = 20 ft²

From the diagonals

Enter the diagonal p and diagonal q.

About diagonal pOne diagonal.
About diagonal qThe other diagonal.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the rhombus
24 ft²
Side
5 ft
Perimeter
20 ft
Angle α
73.73979529°
Angle β
106.2602047°

The area of the rhombus is 24 ft².

In other units
AmountUnit
2.22967296m²
22,296.7296cm²
24ft²
3,456in²
2.666666667yd²
0.0005509641874acres
Show the working
  1. A = p × q ÷ 2
  2. side = ½√(p² + q²)
  3. Area = 24 ft²

How to use it

Enter the side and height. Enter the diagonal p and diagonal q.

Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.

Key facts

A = a h = p q ÷ 2; sin α = h ÷ a

Diagonals

A rhombus's diagonals cross at right angles and bisect each other, so the side is ½√(p² + q²).

Questions

What is the area of a rhombus with side 5 and height 4?

20.

With diagonals 6 and 8?

24, and the side is 5.

Formulas

A = a h = p q ÷ 2; sin α = h ÷ a

Sources

Limitations

  • All measurements in one calculation use the same unit; the answer is also given in other units.
  • Measurements up to 10¹⁵.

Formula version 0.1.0Reviewed