How to Convert Dms to Degrees on Calculator

Converting degrees, minutes, and seconds (DMS) to decimal degrees is a common task in geography, navigation, and surveying. This guide explains the conversion process, provides a calculator tool, and offers practical examples.

What is DMS format?

The DMS (degrees, minutes, seconds) format is a way to represent angles or geographic coordinates. It breaks down an angle into three parts:

Degrees - The whole number part (0-360)
Minutes - The fractional part of a degree (0-59)
Seconds - The fractional part of a minute (0-59.999...)

For example, 45°30'15" means 45 degrees, 30 minutes, and 15 seconds. This format is commonly used in maps, GPS devices, and older navigation systems.

How to convert DMS to degrees

To convert DMS to decimal degrees, use this formula:

Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

Here's how to do it step by step:

Take the degrees value as is
Divide the minutes by 60 and add to the degrees
Divide the seconds by 3600 and add to the previous result

For example, converting 45°30'15" to decimal degrees:

45 + (30/60) + (15/3600) = 45 + 0.5 + 0.0041667 ≈ 45.5041667°

Using the DMS to degrees calculator

Our calculator makes the conversion quick and easy. Simply enter the degrees, minutes, and seconds values, then click "Calculate". The result will appear in decimal degrees format.

The calculator also shows the conversion formula used and provides a visual representation of the conversion process.

Conversion examples

Here are some common DMS to decimal degrees conversions:

DMS	Decimal Degrees
30°0'0"	30.000000
45°30'0"	45.500000
90°0'0"	90.000000
180°0'0"	180.000000
270°0'0"	270.000000

FAQ

Why convert DMS to decimal degrees?

Decimal degrees are easier to work with in calculations, computer systems, and modern mapping software. Many GPS devices and mapping applications use decimal degrees by default.

Can I convert decimal degrees back to DMS?

Yes, you can reverse the process using these formulas:

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

What's the difference between DMS and decimal degrees?

DMS uses degrees, minutes, and seconds as separate values, while decimal degrees combine all parts into a single floating-point number. Decimal degrees are more precise and easier to use in calculations.