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Elliptical Impact Angle Estimator — result sheet
Estimate an acute angle from the measured major and minor axes of an ellipse-shaped impact mark, with explicit forensic limitations.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Estimated acute angle = arcsin(minor axis ÷ major axis), converted from radians to degrees.
For an ellipse-shaped impact mark measured on a suitable surface, the width-to-length ratio gives a simple geometric estimate of the acute angle between the incoming path and the target plane. The result is an educational first calculation, not a complete scene reconstruction.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Major axis length — same length unit; minimum 1.0E-6; maximum 1000000000
- Minor axis length — same length unit; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Major axis length | 2.3 |
| Minor axis length | 2.1 |
The width-to-length ratio is about 0.9130 and the idealized acute angle is about 65.93°.
Assumptions and limits
- The major axis is at least as long as the minor axis and both measurements use the same unit.
- The mark is treated as an ellipse for the ratio calculation and the measured axes represent the relevant stain geometry.
- The returned angle is the acute angle relative to the target surface, expressed in degrees.
- Surface roughness, absorbency, fluid properties, velocity, gravity, tails, spines, and measurement error are not modeled.
- This estimate is not a conclusion about an event, a person, a weapon, or a crime scene.
- Forensic work should follow current laboratory procedures, validated methods, documented uncertainty, and qualified review.
- Do not experiment with blood or use the page to interfere with an investigation; the formula is suitable for classroom geometry and documented measurements.
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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