Calculate Degrees From Direction

Calculating degrees from direction is essential in navigation, surveying, and engineering. This calculator converts directional bearings (compass headings) into precise degree measurements, helping you determine angles between points accurately.

How to Use This Calculator

To calculate degrees from a direction:

Enter the direction in degrees (0-360) or select from common compass bearings.
Choose the reference system (magnetic or true north).
Click "Calculate" to see the precise degree measurement.
Review the result and use it in your project or calculations.

For magnetic bearings, account for local declination. True bearings use geographic north as reference.

Formula Explained

The calculation is straightforward:

Degrees = Direction (in degrees) ± Declination (if magnetic)

Where:

Direction is the compass bearing (0° = North, 90° = East, etc.)
Declination is the difference between magnetic and true north (varies by location)

For true bearings, simply use the entered direction without adjustment.

Worked Examples

Example 1: Simple True Bearing

If you're facing 45° from true north, the degree measurement is simply 45°.

Example 2: Magnetic Bearing with Declination

In an area with 5° west declination, a magnetic bearing of 30° becomes a true bearing of 35° (30° + 5°).

Direction Type	Bearing	Declination	Result
True	120°	N/A	120°
Magnetic	200°	10° East	190°

Frequently Asked Questions

What's the difference between true and magnetic bearings?

True bearings use geographic north as reference, while magnetic bearings use the local magnetic north. The difference is called declination and varies by location.

How do I find my local declination?

You can find declination values from NOAA's magnetic declination calculators or local mapping services. It changes over time due to Earth's magnetic field shifts.

What if my direction is between standard compass points?

Use the precise degree measurement between the two compass points. For example, northeast is approximately 45°.