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Quadrilateral Area from Diagonals Calculator — result sheet
Calculate the area of a convex quadrilateral from its two diagonals and the angle between them.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Area = ½d₁d₂ sin(θ), where θ is the angle between the diagonals.
Splitting the quadrilateral into four triangles gives the diagonal product times the sine of their included angle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First diagonal — length units; minimum 1.0E-6; maximum 1000000
- Second diagonal — length units; minimum 1.0E-6; maximum 1000000
- Angle between diagonals — degrees; minimum 1.0E-6; maximum 179.999999
Worked example
| Input | Value |
|---|---|
| First diagonal | 6 |
| Second diagonal | 8 |
| Angle between diagonals | 90 |
Area = 24 square units.
Assumptions and limits
- The diagonals and angle describe a convex quadrilateral and use consistent units.
- The angle is measured in degrees and lies between 0 and 180 degrees.
- Side lengths, concavity, self-intersection, and construction tolerances are not inferred.
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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