Feet to Decimal Degrees Calculator

Convert feet measurements to decimal degrees with our precise calculator. This conversion is essential for mapping, surveying, and geographic coordinate systems. Learn how to perform the conversion manually and use our tool for quick results.

What is Feet to Decimal Degrees Conversion?

Decimal degrees are a standard way to represent geographic coordinates, where degrees are divided into decimal fractions. Converting feet to decimal degrees is crucial for precise mapping, surveying, and geographic information systems (GIS).

This conversion is particularly important in fields like construction, urban planning, and environmental science where accurate spatial measurements are required.

How to Convert Feet to Decimal Degrees

To convert feet to decimal degrees, you need to know the reference latitude where the measurement is taken. The conversion involves several steps:

Determine the reference latitude in decimal degrees.
Calculate the length of one degree of latitude at the given reference point.
Divide the feet measurement by the length of one degree of latitude to get the decimal degrees.

Note: The length of one degree of latitude varies depending on the reference latitude. This is because the Earth is not a perfect sphere, and the distance between lines of latitude decreases as you move towards the poles.

Conversion Formula

Formula: Decimal Degrees = Feet / (364,567.2 * cos(reference latitude in radians))

Where:

364,567.2 is the approximate length of one degree of latitude in feet at the equator.
The cosine function accounts for the variation in degree length at different latitudes.

This formula provides an accurate conversion from feet to decimal degrees, taking into account the Earth's curvature.

Conversion Examples

Let's look at a couple of examples to illustrate how the conversion works.

Example 1: Conversion at the Equator

Suppose you have a measurement of 100 feet at the equator (0° latitude).

Using the formula:

Decimal Degrees = 100 / (364,567.2 * cos(0°))

Decimal Degrees ≈ 100 / 364,567.2 ≈ 0.000274 degrees

This means 100 feet at the equator is approximately 0.000274 decimal degrees.

Example 2: Conversion at 45° Latitude

Now, let's convert 100 feet at 45° latitude.

Using the formula:

Decimal Degrees = 100 / (364,567.2 * cos(45°))

Decimal Degrees ≈ 100 / (364,567.2 * 0.7071) ≈ 100 / 257,600 ≈ 0.000388 degrees

At 45° latitude, 100 feet is approximately 0.000388 decimal degrees.

FAQ

Why is the conversion different at different latitudes?: The length of one degree of latitude varies because the Earth is an oblate spheroid. The distance between lines of latitude decreases as you move towards the poles.
What is the most accurate way to convert feet to decimal degrees?: The most accurate method involves using the reference latitude and the cosine function to account for the Earth's curvature. Our calculator uses this precise method.
Can I use this conversion for small-scale projects?: Yes, this conversion is suitable for small-scale projects, but for large-scale or highly precise work, you should consult a professional surveyor.
Is there a difference between decimal degrees and degrees, minutes, seconds?: Yes, decimal degrees represent the angle as a single decimal number, while degrees, minutes, seconds break it down into degrees, minutes, and seconds. Our calculator provides the decimal degrees format.