How to Convert Decimal to Degrees on Calculator

A decimal degree is a way of expressing latitude and longitude coordinates using decimal numbers. This format is commonly used in modern GPS devices and mapping applications. Converting decimal degrees to degrees, minutes, and seconds (DMS) can be useful for older maps, navigation systems, or when working with traditional surveying methods.

What is a decimal degree?

A decimal degree is a coordinate format that represents degrees as a decimal number. For example, 40.7128° is 40 degrees and 0.7128 of a degree north. This format is precise and easy to use with digital devices, but it can be less intuitive for manual calculations or when working with older maps that use degrees, minutes, and seconds.

Decimal degrees are the standard format for modern GPS devices and most digital mapping applications. They provide high precision and are easy to work with in calculations.

How to convert decimal degrees to degrees, minutes, seconds

Converting decimal degrees to degrees, minutes, and seconds involves a few simple steps. Here's how to do it manually:

Take the decimal part of the degree (the numbers after the decimal point).
Multiply this decimal by 60 to get the minutes.
Take the decimal part of the minutes and multiply it by 60 to get the seconds.
Round the seconds to the desired number of decimal places.

Formula: Degrees = integer part of decimal degree
Minutes = (decimal part × 60) rounded to integer
Seconds = (remaining decimal part × 60) rounded to desired precision

For example, to convert 40.7128° to DMS:

Degrees = 40 (the integer part)
Minutes = 0.7128 × 60 = 42.768 (rounded to 43 minutes)
Seconds = 0.768 × 60 ≈ 46.08 (rounded to 46 seconds)

The result is 40° 43' 46".

Using the decimal to degrees calculator

Our calculator makes it easy to convert decimal degrees to degrees, minutes, and seconds. Simply enter your decimal degree value and click "Calculate". The result will be displayed in the standard DMS format.

The calculator uses the standard conversion method and provides precise results. You can use it for both latitude and longitude coordinates.

Examples of decimal degree conversions

Here are a few examples of decimal degree conversions to help you understand the process:

Decimal Degree	Degrees, Minutes, Seconds
35.6895°	35° 41' 22"
51.4779°	51° 28' 40"
139.6917°	139° 41' 30"

FAQ

What is the difference between decimal degrees and degrees, minutes, seconds?

Decimal degrees use decimal numbers to represent fractions of a degree, while degrees, minutes, and seconds use whole numbers for degrees, minutes, and seconds. Decimal degrees are more precise and easier to use with digital devices, while DMS is often used in older maps and navigation systems.

How do I convert degrees, minutes, seconds to decimal degrees?

To convert DMS to decimal degrees, use the formula: Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600). For example, 40° 43' 46" would be 40 + (43/60) + (46/3600) ≈ 40.7294°.

Can I use this calculator for both latitude and longitude?

Yes, the calculator can be used for both latitude and longitude coordinates. Just enter the decimal degree value and click "Calculate".

How precise are the results from this calculator?

The calculator provides results with up to 4 decimal places, which is sufficient for most applications. For higher precision, you may need to use more advanced tools.