How to Convert Dms to Degrees in Calculator

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 of the angle (0-360°)
• Minutes - The fractional part of the degree (0-60')
• Seconds - The fractional part of the minute (0-60")

For example, 45°30'15" means 45 degrees, 30 minutes, and 15 seconds. This format is commonly used in navigation, surveying, and cartography.

How to convert DMS to degrees

Converting DMS to decimal degrees involves a simple mathematical process. Here are the steps:

1. Take the degrees value as-is
2. Convert minutes to degrees by dividing by 60
3. Convert seconds to degrees by dividing by 3600
4. Add all three values together to get the decimal degrees

Conversion formula explained

The conversion formula works because:

• There are 60 minutes in a degree
• There are 60 seconds in a minute
• Therefore, there are 3600 seconds in a degree (60 × 60)

By dividing the minutes by 60 and the seconds by 3600, we convert them to their fractional degree equivalents and then sum them all together.

Example conversion

Let's convert 38°53'20" to decimal degrees:

1. Degrees: 38
2. Minutes to degrees: 53 ÷ 60 = 0.8833
3. Seconds to degrees: 20 ÷ 3600 ≈ 0.0056
4. Total: 38 + 0.8833 + 0.0056 ≈ 38.8889°

The result is approximately 38.8889 decimal degrees.

When to use this conversion

Converting DMS to decimal degrees is useful in several situations:

• When working with GPS coordinates
• When using mapping software that requires decimal degrees
• When performing calculations that require decimal values
• When comparing angles or coordinates in a digital format