Decimal Degrees to DMS Converter
Convert angles from decimal degrees (e.g., 30.263889°) to Degrees, Minutes, Seconds (DMS) format (e.g., 30° 15' 50"). Supports high precision and provides step-by-step conversion explanations.
About Decimal Degrees to DMS Converter
Welcome to our Decimal Degrees to DMS Converter, a precise and easy-to-use tool for converting angles from decimal degrees format to Degrees, Minutes, Seconds (DMS) format. This converter is essential for GPS coordinates, geographic information systems, navigation, astronomy, surveying, and any application requiring angle conversions.
What is Decimal Degrees Format?
Decimal Degrees (DD) express latitude and longitude geographic coordinates as decimal fractions of a degree. It is the standard format for many Geographic Information Systems (GIS) and web mapping applications.
DMS Format Components:
- Degrees (°): The integer part of the angle.
- Minutes ('): The decimal part multiplied by 60.
- Seconds ("): The remaining decimal part of the minutes multiplied by 60.
Key Features of Our Decimal to DMS Converter
- Accurate Conversion: Precise conversion from decimal degrees to DMS.
- Step-by-Step Explanations: Detailed breakdown of the conversion process.
- Verification: Automatically converts the result back to decimal to verify accuracy.
- Educational Value: Learn the mathematical principles behind angle conversion.
Conversion Formula
The process to convert from Decimal Degrees to DMS is:
- Degrees: Take the integer part of the decimal degree.
- Minutes: Multiply the decimal part by 60. The integer part is the minutes.
- Seconds: Multiply the remaining decimal part by 60.
Example: Convert 30.263889°
- Degrees = 30
- Decimal part = 0.263889
- Minutes = 0.263889 × 60 = 15.83334 → 15'
- Remaining decimal = 0.83334
- Seconds = 0.83334 × 60 = 50.0004 → 50"
- Result: 30° 15' 50"
How to Use the Decimal to DMS Converter
- Enter the decimal degrees value (e.g., 30.263889).
- Click "Calculate" to convert.
- View the DMS result with step-by-step explanations.
Common Examples
| Decimal Degrees | DMS Format | Common Use |
|---|---|---|
| 30.263889° | 30° 15' 50" | General angle |
| 40.446111° | 40° 26' 46" | Latitude (New York City) |
| -79.982222° | -79° 58' 56" | Longitude (New York City) |
| 51.507222° | 51° 30' 26" | Latitude (London) |
| -0.1275° | -0° 7' 39" | Longitude (London) |
Applications of Decimal to DMS Conversion
This converter is essential for various fields:
- GPS and Navigation: Reading coordinates on traditional maps.
- Geographic Information Systems (GIS): Data entry and verification.
- Surveying: Recording field measurements.
- Astronomy: Telescope positioning.
- Education: Teaching coordinate systems.
Additional Resources
For more information on coordinate systems and angle conversions:
Reference this content, page, or tool as:
"Decimal Degrees to DMS Converter" at https://MiniWebtool.com/decimal-degrees-to-dms-converter/ from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Nov 20, 2025
You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer.
Related MiniWebtools:
Trigonometry Calculators:
- DMS to Decimal Degrees Converter New
- Law of Cosines Calculator New
- Law of Sines Calculator New
- Right Triangle Calculator New
- High-Precision Sine Calculator New
- High-Precision Hyperbolic Functions Calculator New
- Trigonometric Function Grapher New
- Arcsin (Inverse Sine) Calculator New
- Arccos (Inverse Cosine) Calculator New
- High-Precision Cosine Calculator New
- High-Precision Tangent Calculator New
- Cosecant/Secant/Cotangent Calculator New
- Arctan (Inverse Tangent) Calculator New
- Arctan2 Calculator New
- Decimal Degrees to DMS Converter New
- Interactive Unit Circle Visualizer New
- Trigonometric Identities Calculator New