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Azimuth from East and North Components — result sheet
Calculate a compass-style azimuth from east and north coordinate components.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Azimuth = atan2(east, north), normalized to 0° through 360° clockwise from north.
Using east as the first argument and north as the second makes zero point north and increasing angles turn toward east.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- East component — units; minimum -1000000000; maximum 1000000000
- North component — units; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| East component | 1 |
| North component | 1 |
Azimuth = 45°.
Assumptions and limits
- Components are in a common coordinate system.
- The zero vector has no defined direction.
- This is a planar mathematical bearing, not a geodetic or magnetic-north correction.
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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