Decimal Degrees to Degrees, Minutes, Seconds Converter

This converter is designed to convert decimal degree values to the more traditional degrees, minutes, and seconds (DMS) format. This tool is perfect for surveyors, engineers, and navigators who need precise angle measurements.

Calculator

Results

Degrees: -

Minutes: -

Seconds: -

Data Source and Methodology

All calculations are based on the standard conversion formulas from decimal degrees to degrees, minutes, and seconds.

The Formula Explained

To convert decimal degrees to DMS:

Degrees = integer part of decimal degrees

Minutes = integer part of (decimal degrees - degrees) × 60

Seconds = (decimal degrees - degrees - minutes/60) × 3600

Glossary of Variables

Decimal Degrees: The decimal representation of angle measurement.
Degrees: The whole number part of the angle.
Minutes: One-sixtieth of a degree.
Seconds: One-sixtieth of a minute.

How It Works: A Step-by-Step Example

For a decimal degree value of 123.456:

Degrees = 123
Minutes = (0.456 × 60) = 27
Seconds = ((0.456 - 0.27) × 3600) = 16.56

Frequently Asked Questions (FAQ)

What is decimal degrees?

Decimal degrees (DD) express latitude and longitude geographic coordinates as a decimal fraction.

How do I convert DD to DMS?

To convert decimal degrees to degrees, minutes, and seconds (DMS), you split the decimal degrees into its integer and fractional parts, then convert these parts into degrees, minutes, and seconds.

```

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted text)

Degrees = integer part of decimal degrees Minutes = integer part of (decimal degrees - degrees) × 60 Seconds = (decimal degrees - degrees - minutes/60) × 3600

Variables and units

No variables provided in audit spec.

Sources (authoritative):

NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures
NIST — SI units — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/owm/metric-si/si-units

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

, ', svg: { fontCache: 'global' } };

Decimal Degrees to Degrees, Minutes, Seconds Converter

Calculator

Results

Degrees: -

Minutes: -

Seconds: -

Data Source and Methodology

All calculations are based on the standard conversion formulas from decimal degrees to degrees, minutes, and seconds.

The Formula Explained

To convert decimal degrees to DMS:

Degrees = integer part of decimal degrees

Minutes = integer part of (decimal degrees - degrees) × 60

Seconds = (decimal degrees - degrees - minutes/60) × 3600

Glossary of Variables

Decimal Degrees: The decimal representation of angle measurement.
Degrees: The whole number part of the angle.
Minutes: One-sixtieth of a degree.
Seconds: One-sixtieth of a minute.

How It Works: A Step-by-Step Example

For a decimal degree value of 123.456:

Degrees = 123
Minutes = (0.456 × 60) = 27
Seconds = ((0.456 - 0.27) × 3600) = 16.56

Frequently Asked Questions (FAQ)

What is decimal degrees?

Decimal degrees (DD) express latitude and longitude geographic coordinates as a decimal fraction.

How do I convert DD to DMS?

To convert decimal degrees to degrees, minutes, and seconds (DMS), you split the decimal degrees into its integer and fractional parts, then convert these parts into degrees, minutes, and seconds.

```

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted text)

Degrees = integer part of decimal degrees Minutes = integer part of (decimal degrees - degrees) × 60 Seconds = (decimal degrees - degrees - minutes/60) × 3600

Variables and units

No variables provided in audit spec.

Sources (authoritative):

NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures
NIST — SI units — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/owm/metric-si/si-units

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

]], displayMath: [['\\[','\\]']] }, svg: { fontCache: 'global' } };, svg: { fontCache: 'global' } };

Decimal Degrees to Degrees, Minutes, Seconds Converter

Calculator

Results

Degrees: -

Minutes: -

Seconds: -

Data Source and Methodology

All calculations are based on the standard conversion formulas from decimal degrees to degrees, minutes, and seconds.

The Formula Explained

To convert decimal degrees to DMS:

Degrees = integer part of decimal degrees

Minutes = integer part of (decimal degrees - degrees) × 60

Seconds = (decimal degrees - degrees - minutes/60) × 3600

Glossary of Variables

Decimal Degrees: The decimal representation of angle measurement.
Degrees: The whole number part of the angle.
Minutes: One-sixtieth of a degree.
Seconds: One-sixtieth of a minute.

How It Works: A Step-by-Step Example

For a decimal degree value of 123.456:

Degrees = 123
Minutes = (0.456 × 60) = 27
Seconds = ((0.456 - 0.27) × 3600) = 16.56

Frequently Asked Questions (FAQ)

What is decimal degrees?

Decimal degrees (DD) express latitude and longitude geographic coordinates as a decimal fraction.

How do I convert DD to DMS?

To convert decimal degrees to degrees, minutes, and seconds (DMS), you split the decimal degrees into its integer and fractional parts, then convert these parts into degrees, minutes, and seconds.

```

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted text)

Degrees = integer part of decimal degrees Minutes = integer part of (decimal degrees - degrees) × 60 Seconds = (decimal degrees - degrees - minutes/60) × 3600

Variables and units

No variables provided in audit spec.

Sources (authoritative):

NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures
NIST — SI units — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/owm/metric-si/si-units

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn