Home Back

Azimuth To Compass Bearing Calculator

Azimuth to Compass Bearing Conversion:

\[ \text{Bearing} = \begin{cases} \text{N } (90 - \text{azimuth}) \text{ E} & \text{if } 0^\circ \leq \text{azimuth} < 90^\circ \\ \text{S } (\text{azimuth} - 90) \text{ E} & \text{if } 90^\circ \leq \text{azimuth} < 180^\circ \\ \text{S } (270 - \text{azimuth}) \text{ W} & \text{if } 180^\circ \leq \text{azimuth} < 270^\circ \\ \text{N } (\text{azimuth} - 270) \text{ W} & \text{if } 270^\circ \leq \text{azimuth} < 360^\circ \end{cases} \]

degrees

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Azimuth to Compass Bearing Conversion?

Azimuth to compass bearing conversion is the process of converting an azimuth angle (measured clockwise from true north) into a traditional compass bearing format that uses quadrant notation (N/S - degrees - E/W).

2. How Does the Calculator Work?

The calculator uses the following conversion rules:

\[ \text{Bearing} = \begin{cases} \text{N } (90 - \text{azimuth}) \text{ E} & \text{if } 0^\circ \leq \text{azimuth} < 90^\circ \\ \text{S } (\text{azimuth} - 90) \text{ E} & \text{if } 90^\circ \leq \text{azimuth} < 180^\circ \\ \text{S } (270 - \text{azimuth}) \text{ W} & \text{if } 180^\circ \leq \text{azimuth} < 270^\circ \\ \text{N } (\text{azimuth} - 270) \text{ W} & \text{if } 270^\circ \leq \text{azimuth} < 360^\circ \end{cases} \]

Where:

Explanation: The conversion divides the compass into four quadrants and calculates the appropriate bearing notation based on the azimuth value.

3. Importance of Bearing Calculation

Details: Accurate bearing calculation is crucial for navigation, surveying, mapping, and various engineering applications where directional information is required.

4. Using the Calculator

Tips: Enter azimuth in degrees (0-360). The value must be between 0 and 360 degrees inclusive.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between azimuth and bearing?
A: Azimuth is measured clockwise from true north (0-360°), while bearing uses quadrant notation (N/S - degrees - E/W).

Q2: What is a 0 degree azimuth?
A: 0 degree azimuth points directly north.

Q3: What is a 90 degree azimuth?
A: 90 degree azimuth points directly east.

Q4: What is a 180 degree azimuth?
A: 180 degree azimuth points directly south.

Q5: What is a 270 degree azimuth?
A: 270 degree azimuth points directly west.

Azimuth To Compass Bearing Calculator© - All Rights Reserved 2025