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Rhombus Area and Perimeter Calculator — result sheet
Calculate a rhombus’s area, side length, perimeter, and acute angle from its two diagonals.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: area = d₁d₂/2; side = √((d₁/2)²+(d₂/2)²); perimeter = 4 side; acute angle = 2 atan(min(d₁,d₂)/max(d₁,d₂)).
The diagonals of a rhombus bisect each other at right angles. Their four half-diagonals form right triangles, which determine the side and the acute interior angle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First diagonal — units; minimum 1.0E-6; maximum 1000000000
- Second diagonal — units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| First diagonal | 6 |
| Second diagonal | 8 |
Area: 24 square units; side: 5 units; perimeter: 20 units; acute angle: 73.74°.
Assumptions and limits
- The shape is a Euclidean rhombus whose diagonals are perpendicular bisectors.
- Both diagonal lengths are positive and use the same unit.
- The displayed angle is the smaller interior angle; the obtuse angle is its supplement.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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