# Decimal Degrees to Degrees,Minutes,Seconds conversion

implify the process of converting decimal degrees into degrees, minutes, and seconds with our efficient Decimal Degrees to DMS Converter. This tool allows you to effortlessly convert any decimal degree value into its equivalent degrees, minutes, and seconds representation. Simply input the decimal degrees, and our converter will instantly generate the DMS format, providing you with the degrees, minutes, and seconds components.

 Decimal degrees: ° Degrees,minutes,seconds: Calculation: Angle view:

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## What is Decimal Degrees to Degrees,Minutes,Seconds conversion

To convert decimal degrees to degrees, minutes, and seconds (DMS) format, you can follow these steps:

1. Take the decimal part of the degrees and multiply it by 60 to get the minutes.
2. Take the decimal part of the minutes and multiply it by 60 to get the seconds.

Here's an example:

Let's say you have a decimal degree value of 37.7833. To convert it to DMS format, you would perform the following steps:

1. Take the decimal part of the degrees: Decimal degrees = 37.7833 Degrees = 37 (integer part)

2. Multiply the decimal part of the degrees by 60 to get the minutes: Decimal minutes = 0.7833 * 60 = 46.998

3. Take the integer part of the minutes: Minutes = 46 (integer part)

4. Multiply the decimal part of the minutes by 60 to get the seconds: Decimal seconds = 0.998 * 60 = 59.88

5. Round the seconds if necessary: Seconds = 60 (integer part)

So, the decimal degree 37.7833 is equivalent to the DMS format of 37 degrees 46 minutes 60 seconds (or commonly represented as 37 degrees 47 minutes).

Remember, it's common practice to round the seconds value to the nearest whole number or choose a specific rounding convention based on the precision required.

## How to convert decimal degrees to degrees,minutes,seconds

One degree (°) is equal to 60 minutes (') and equal to 3600 seconds ("):

1° = 60' = 3600"

The integer degrees (d) are equal to the integer part of the decimal degrees (dd):

d = integer(dd)

The minutes (m) are equal to the integer part of the decimal degrees (dd) minus integer degrees (d) times 60:

m = integer((dd - d) × 60)

The seconds (s) are equal to the decimal degrees (dd) minus integer degrees (d) minus minutes (m) divided by 60 times 3600:

s = (dd - d - m/60) × 3600

### Example

Convert 30.263888889° angle to degrees,minutes,seconds:

d = integer(30.263888889°) = 30°

m = integer((dd - d) × 60) = 15'

s = (dd - d - m/60) × 3600 = 50"

So

30.263888889° = 30° 15' 50"

### Example#2

Decimal Degrees Degrees Minutes Seconds
37.4923 37 29 32.28
45.6789 45 40 44.04
23.0198 23 1 11.28
89.9999 89 59 59.64

To convert decimal degrees to degrees, minutes, and seconds, follow these steps:

1. The whole number part of the decimal represents the degrees.
2. Multiply the decimal part by 60 to get the minutes.
3. The whole number part of the decimal in step 2 represents the minutes.
4. Multiply the remaining decimal by 60 to get the seconds.

For example, let's take the first row:

• Decimal Degrees: 37.4923
• Degrees: 37 (whole number part)
• Minutes: 0.4923 * 60 = 29 (whole number part)
• Seconds: 0.4923 * 60 = 29 * 60 = 32.28

Thus, 37.4923 degrees is equivalent to 37 degrees, 29 minutes, and 32.28 seconds.

Please note that the seconds are rounded to two decimal places for simplicity in this table.