Advanced Compass Bearing Calculator

Solve true, magnetic, and grid bearing problems accurately. Compare azimuths, angles, and direction changes instantly. Plot routes, inspect quadrants, and export clean calculations easily.

Bearing Plot

This graph displays the route, heading vector, or angle conversion result based on your selected mode.

Example Data Table

Case Start X Start Y End X End Y Bearing Quadrant Compass
A 0 0 120 180 33.69° N 33.69° E NE
B 50 25 120 -20 122.74° S 57.26° E ESE
C -40 10 -90 160 341.57° N 18.43° W NNW
D 10 -30 -70 -100 228.81° S 48.81° W SW

Formula Used

1. Bearing from coordinates
For Easting difference dx = x2 - x1 and Northing difference dy = y2 - y1:
Bearing = atan2(dx, dy) × 180 / π
Then normalize the result to the 0° to 360° range.
2. Destination point from bearing and distance
x2 = x1 + distance × sin(bearing)
y2 = y1 + distance × cos(bearing)
3. Magnetic and true bearing conversion
True Bearing = Magnetic Bearing + Declination
Magnetic Bearing = True Bearing - Declination
4. Final bearing after turn
Right turn: Final = Initial + Turn Angle
Left turn: Final = Initial - Turn Angle
Normalize again to 0° to 360°.

How to Use This Calculator

  1. Select a calculation mode that matches your problem type.
  2. Enter coordinate, distance, declination, or turning inputs.
  3. Click Calculate Bearing to generate the result summary.
  4. Review decimal bearing, quadrant form, compass label, and plotted route.
  5. Use CSV or PDF export to save the current result.
  6. Compare your values with the example table for validation.

FAQs

1. What is a compass bearing?

A compass bearing is a clockwise angle measured from north. It identifies direction between locations, travel headings, or route changes using a 0° to 360° reference system.

2. How is bearing different from quadrant notation?

Bearing uses a full circle from 0° to 360°. Quadrant notation expresses direction from north or south toward east or west, such as N 35° E.

3. Why does the calculator use atan2?

atan2 handles coordinate signs correctly and returns the correct directional angle across all quadrants. That makes it more reliable than a basic arctangent formula.

4. Can I use negative coordinates?

Yes. Negative easting or northing values are allowed. The calculator still computes the correct directional bearing as long as the start and end points are different.

5. What does magnetic declination mean?

Magnetic declination is the angular difference between true north and magnetic north. It must be applied when converting map-based bearings to compass-based readings.

6. What happens if the angle exceeds 360°?

The calculator normalizes every angle into the 0° to 360° range. This keeps outputs standard and easier to interpret for mapping, surveying, and classroom use.

7. Why is the result shown above the form?

Displaying the result near the top improves visibility and makes it easier to review the answer immediately after submission, especially on long calculator pages.

8. Is this suitable for navigation and maths practice?

Yes. It works well for classroom coordinate problems, route planning exercises, survey examples, map-reading drills, and turning-angle practice with clearly structured outputs.