Math / CALCULATOR

Planar Compass Bearing

Planar Compass Bearing: explore an explicit model with input checks, a formula and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

units
Enter eastward displacement in units.
units
Enter northward displacement in units.

Formula

bearing=(atan2(east,north) in degrees +360) mod 360.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Local Cartesian plane only. Not a great-circle bearing, geodetic projection or magnetic declination correction.

Example Calculation

Example inputs
  • Eastward displacement: 3 units
  • Northward displacement: 4 units

Displacement 3 east and 4 north gives bearing 36.8699° and distance 5.

Frequently asked questions

How do I use this calculator?

Enter eastward displacement, northward displacement. The result updates automatically. Use Reset to restore the example values.

What method does it use?

bearing=(atan2(east,north) in degrees +360) mod 360.. Local Cartesian plane only. Not a great-circle bearing, geodetic projection or magnetic declination correction.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.