Degrees Minutes Second Calculator

Convert between degrees, minutes, and seconds with this precise degrees minutes second calculator. Whether you're working with geographic coordinates, astronomy, or engineering measurements, this tool provides accurate conversions and clear explanations.

How to Use This Calculator

Using the degrees minutes second calculator is straightforward:

Enter the angle value in the input field
Select the unit you're converting from (degrees, minutes, or seconds)
Click "Calculate" to see the equivalent values in all three units
Review the results and use the conversion chart for visual reference

Note: The calculator handles fractional minutes and seconds automatically. For example, 30.5 minutes will be converted to 30 minutes and 30 seconds.

Conversion Formulas

The degrees minutes second calculator uses these fundamental conversion formulas:

1 degree (°) = 60 minutes (') 1 minute ('') = 60 seconds ('')

To convert between units:

Degrees to Minutes: Multiply degrees by 60
Degrees to Seconds: Multiply degrees by 3600
Minutes to Seconds: Multiply minutes by 60
Seconds to Minutes: Divide seconds by 60
Seconds to Degrees: Divide seconds by 3600

For example, to convert 1.5 degrees to minutes:

1.5° × 60 = 90'

Worked Examples

Example 1: Converting Degrees to Minutes and Seconds

Convert 45.75 degrees to minutes and seconds:

Convert degrees to minutes: 45.75° × 60 = 2745'
Extract whole minutes: 2745' = 2745' 0''
Convert remaining fraction to seconds: 0.75' × 60 = 45''
Final result: 45.75° = 2745' 45''

Example 2: Converting Minutes to Degrees and Seconds

Convert 120 minutes to degrees and seconds:

Convert minutes to degrees: 120' ÷ 60 = 2°
Convert remaining minutes to seconds: 0' × 60 = 0''
Final result: 120' = 2° 0''

Angle Conversion Comparison
Degrees	Minutes	Seconds
1°	60'	3600''
0.5°	30'	1800''
15°	900'	54000''

Common Uses

The degrees minutes second calculator is valuable in several fields:

Geography: Converting between latitude and longitude coordinates
Astronomy: Working with celestial coordinates
Engineering: Precise angle measurements in technical drawings
Navigation: Converting between compass bearings and decimal degrees
Surveying: Accurate land measurement conversions

In each case, the calculator ensures precise conversions that maintain the full precision of the original measurement.

FAQ

What is the difference between degrees, minutes, and seconds?: Degrees are the largest unit, with 360° in a full circle. Each degree is divided into 60 minutes, and each minute into 60 seconds. This system allows for precise angle measurements.
How do I convert between degrees and decimal degrees?: To convert degrees-minutes-seconds to decimal degrees: degrees + (minutes/60) + (seconds/3600). For example, 45°30'15" = 45 + (30/60) + (15/3600) = 45.504167°.
Can I use negative values with this calculator?: Yes, the calculator accepts negative values for angles in any unit. Negative values indicate direction opposite to the positive direction.
What's the smallest unit this calculator can handle?: The calculator can handle values down to 0.000001 of the smallest unit (seconds). For example, 0.000001 seconds is 0.000000000277778 hours.
Is this calculator useful for astronomical calculations?: Yes, the degrees minutes second calculator is particularly useful for astronomical calculations involving right ascension, declination, and other celestial coordinates.