Bearing to Degrees Calculator

This bearing to degrees calculator converts compass bearings to their equivalent degree measurements. Whether you're working with surveying, navigation, or construction, understanding how to convert bearings to degrees is essential for accurate measurements and planning.

What is a Bearing?

A bearing is a measurement of direction, typically expressed in degrees from a reference point, usually north. In navigation and surveying, bearings are used to indicate the direction of one point relative to another. They are often expressed in degrees from true north, magnetic north, or another reference direction.

Bearings can be expressed in different formats, including:

Whole circle bearings (WCB): Measured from 0° to 360° clockwise from north.
Reduced bearings: Measured from 0° to 90° in one of four quadrants (NE, SE, SW, NW).
Quadrantal bearings: Measured from 0° to 90° in one of four cardinal directions.

For this calculator, we'll focus on whole circle bearings, which are the most common format for expressing bearings in degrees.

How to Convert Bearing to Degrees

Converting a bearing to degrees involves understanding the compass directions and their corresponding degree values. Here's a step-by-step guide:

Identify the bearing: Determine the bearing you want to convert. For example, "N 45° E" means 45 degrees east of north.
Break down the bearing: Separate the bearing into its cardinal and ordinal components. In the example, "N" is the cardinal direction, and "45° E" is the ordinal component.
Convert to degrees: Use the formula to convert the bearing to degrees. For the example, "N 45° E" is 45 degrees.

This calculator automates this process, providing quick and accurate conversions for any bearing you need to measure.

Formula

The formula for converting a bearing to degrees is straightforward. For a bearing expressed as "N X° E", the degree value is simply X. For bearings in other quadrants, you can use the following formula:

Degrees = (Cardinal Direction × 90°) + Ordinal Angle

Where:

Cardinal Direction: The main compass direction (N, E, S, W), assigned values of 0, 1, 2, and 3 respectively.
Ordinal Angle: The angle from the cardinal direction (e.g., 45° in "N 45° E").

For example, "S 30° W" would be calculated as (2 × 90°) + 30° = 210°.

Examples

Here are a few examples of how to convert bearings to degrees:

N 30° E: 30° (since it's directly east of north).
E 60° S: 90° + 60° = 150° (east plus 60 degrees south).
S 45° W: 180° + 45° = 225° (south plus 45 degrees west).
W 15° N: 270° + 15° = 285° (west plus 15 degrees north).

These examples illustrate how to convert different types of bearings to their corresponding degree values.

FAQ

What is the difference between a bearing and a heading?

A bearing is a measurement of direction from one point to another, while a heading is the direction in which an object is pointing. Bearings are typically used in navigation and surveying, while headings are more commonly used in aviation and maritime navigation.

How do I convert degrees to a bearing?

To convert degrees to a bearing, divide the degree value by 90 to determine the quadrant, then calculate the remaining angle. For example, 135° would be E 45° S (135° ÷ 90 = 1.5, so 1 × 90° = 90°, and 135° - 90° = 45°).

What is the difference between true north and magnetic north?

True north is the direction pointing directly toward the North Pole, while magnetic north is the direction toward the Earth's magnetic North Pole. The difference between true north and magnetic north is called magnetic declination, and it varies depending on your location.