# Degrees,minutes,seconds to decimal degrees conversion

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

 Degrees: ° Minutes: ' Seconds: " Decimal degrees: Angle view:

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## What is Degrees,minutes,seconds to decimal degrees conversion

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

1. Divide the number of minutes by 60.
2. Divide the number of seconds by 3600.
3. Add the resulting values to the degrees.

Here's an example:

Let's say you have a DMS value of 37 degrees 46 minutes 60 seconds. To convert it to decimal degrees, you would perform the following steps:

1. Divide the number of minutes (46) by 60: Minutes in decimal degrees = 46 / 60 = 0.7667

2. Divide the number of seconds (60) by 3600: Seconds in decimal degrees = 60 / 3600 = 0.0167

3. Add the resulting decimal values to the degrees (37): Decimal degrees = 37 + 0.7667 + 0.0167 = 37.7834

So, the DMS value of 37 degrees 46 minutes 60 seconds is equivalent to approximately 37.7834 decimal degrees.

It's important to note that for precise calculations, the seconds value may need to be rounded based on the desired level of accuracy.

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

One degree is equal to 60 minutes and equal to 3600 seconds:

1° = 60' = 3600"

One minute is equal to 1/60 degrees:

1' = (1/60)° = 0.01666667°

One second is equal to 1/3600 degrees:

1" = (1/3600)° = 2.77778e-4° = 0.000277778°

For angle with d integer degrees m minutes and s seconds:

d° m' s"

The decimal degrees dd is equal to:

dd = d + m/60 + s/3600

### Example

Convert 30 degrees 15 minutes and 50 seconds angle to decimal degrees:

30° 15' 50"

The decimal degrees dd is equal to:

dd = d + m/60 + s/3600 = 30° + 15'/60 + 50"/3600 = 30.263888889°

### Example#2

Certainly! Here's a table that shows the conversion from degrees, minutes, and seconds to decimal degrees:

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

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

1. Divide the number of minutes by 60.
2. Divide the number of seconds by 3600.
3. Add the degrees, the result from step 1, and the result from step 2 together.

For example, let's take the first row:

• Degrees: 37
• Minutes: 29 / 60 = 0.483333...
• Seconds: 32.28 / 3600 = 0.0089667...
• Decimal Degrees: 37 + 0.483333... + 0.0089667... = 37.4923

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

Please note that the decimal degrees have been rounded to four decimal places for simplicity in this table.