Parallelogram & Rhombus Calculator
Find the area, perimeter, height and diagonals of a parallelogram, or a rhombus from its diagonals.
Area
34.64101615
- Perimeter
- 26
- Height (to base a)
- 4.330127019
- Diagonals
- 11.35781669 and 7
Show the work
Height to base a
h = b × sin θ
5 × sin 60° = 4.330127019
Area = base × height
A = a × h
8 × 4.330127019 = 34.64101615
How it works
Parallelogram: area = a × b × sin θ, diagonals² = a² + b² ± 2ab cos θ; rhombus: area = p × q ÷ 2, side = √((p/2)² + (q/2)²)
Questions
- How does the parallelogram & rhombus calculator work?
- Parallelogram: area = a × b × sin θ, diagonals² = a² + b² ± 2ab cos θ; rhombus: area = p × q ÷ 2, side = √((p/2)² + (q/2)²).
- What do I need to enter?
- Shape, Side a (base), Side b, Angle between them, Diagonal p, Diagonal q, Units. Optional fields can be left blank.
Related tools
- Ellipse CalculatorFind an ellipse's area, exact perimeter, eccentricity and foci from its two semi-axes.
- Annulus (Ring) CalculatorFind the area of a ring (annulus) between two circles, its width and both circumferences.
- Arc Length & Sector Area CalculatorFind the arc length, sector area, chord and segment area of a circle from its radius and central angle.
- Trig Functions CalculatorFind sin, cos, tan, csc, sec and cot of an angle in degrees or radians — or the inverse functions of a value.
- Circle CalculatorKnow one of a circle's radius, diameter, circumference or area? Get all the others.
- Sphere CalculatorFind a sphere's volume, surface area, radius and diameter from any one of them.
Want this on your site? Embed the parallelogram & rhombus calculator.