Degrees Minutes Seconds to Feet Calculator
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Reviewed by Calculator Editorial Team
Convert angular measurements in degrees, minutes, and seconds to linear measurements in feet with this precise calculator. Learn how to perform the conversion and understand the results.
How to Use This Calculator
To convert degrees, minutes, and seconds to feet:
- Enter the degrees value in the first field
- Enter the minutes value in the second field (0-59)
- Enter the seconds value in the third field (0-59.99)
- Select the unit of measurement (feet or inches)
- Click "Calculate" to see the result
The calculator will display the converted measurement in the selected unit, along with an explanation of the conversion process.
Conversion Formula
The conversion from degrees, minutes, and seconds to feet is based on the following formula:
Feet = (Degrees + (Minutes / 60) + (Seconds / 3600)) × (1 / 360) × 6076.12
This formula accounts for:
- The conversion of minutes to degrees (dividing by 60)
- The conversion of seconds to degrees (dividing by 3600)
- The conversion of degrees to feet (multiplying by 6076.12)
The constant 6076.12 feet is derived from the fact that one degree of latitude at the equator is approximately 60.1078 nautical miles, and one nautical mile is 6076.12 feet.
Example Calculation
Let's convert 45° 30' 15" to feet:
- Convert minutes to degrees: 30' ÷ 60 = 0.5°
- Convert seconds to degrees: 15" ÷ 3600 ≈ 0.004167°
- Add all parts: 45 + 0.5 + 0.004167 ≈ 45.504167°
- Convert degrees to feet: 45.504167 × 6076.12 ≈ 277,522.4 feet
So, 45° 30' 15" is approximately 277,522.4 feet.
Note: This calculation assumes you're measuring along the equator. The actual distance will vary depending on your location.
Common Uses
Converting degrees, minutes, and seconds to feet is useful in several fields:
- Surveying and mapping
- Navigation and aviation
- Construction and engineering
- Geographic information systems (GIS)
- Cartography and mapmaking
This conversion is particularly important when working with large-scale maps or when precise measurements are required.
Frequently Asked Questions
Why do I need to convert degrees, minutes, and seconds to feet?
This conversion is useful when you need to work with linear measurements in feet rather than angular measurements. It's commonly used in surveying, construction, and mapping applications.
Is this conversion accurate for all locations?
The conversion formula provided is accurate for measurements along the equator. For other locations, the actual distance will vary due to the Earth's curvature.
Can I convert feet back to degrees, minutes, and seconds?
Yes, you can reverse the calculation by dividing the feet measurement by 6076.12 to get degrees, then converting the decimal portion back to minutes and seconds.
What units should I use for my project?
The appropriate unit depends on your specific application. For construction and engineering, feet are commonly used. For navigation, degrees, minutes, and seconds are more appropriate.
About this calculator
Updated June 26, 2026. Formulas, assumptions, and limitations are shown directly on this page.
Formula and Sources
The conversion formula used in this calculator is based on standard geographic and navigational calculations. The constant 6076.12 feet per degree is derived from the fact that one degree of latitude at the equator is approximately 60.1078 nautical miles, and one nautical mile is 6076.12 feet.
For more information on geographic coordinate systems, you can refer to the Wikipedia page on geographic coordinate systems.