Degrees and Seconds Calculator

Convert between degrees, minutes, and seconds with our precise degrees and seconds calculator. Whether you're working with geographic coordinates, astronomy, or engineering measurements, this tool provides accurate conversions and visual representations of your results.

How to Use This Calculator

Using our degrees and seconds calculator is simple:

Enter the value you want to convert in the input field.
Select the unit you're converting from in the "From" dropdown.
Select the unit you want to convert to in the "To" dropdown.
Click the "Calculate" button to see the result.
Use the "Reset" button to clear all fields and start over.

The calculator will display the converted value and show a visual representation of the conversion on the chart below the result.

Conversion Formulas

The degrees and seconds calculator uses these standard conversion formulas:

// Degrees to Decimal Degrees decimalDegrees = degrees + (minutes / 60) + (seconds / 3600) // Decimal Degrees to Degrees degrees = floor(decimalDegrees) remaining = (decimalDegrees - degrees) * 60 minutes = floor(remaining) seconds = (remaining - minutes) * 60

These formulas ensure precise conversions between different angular measurement systems.

Worked Examples

Example 1: Convert 45°30'15" to Decimal Degrees

Using the formula:

45 + (30/60) + (15/3600) = 45 + 0.5 + 0.0041667 ≈ 45.5041667°

The calculator would display this as 45.5041667°.

Example 2: Convert 37.75° to Degrees, Minutes, Seconds

Using the formula:

Degrees = 37

Remaining = (37.75 - 37) × 60 = 4.5

Minutes = 4

Seconds = (4.5 - 4) × 60 = 30

The calculator would display this as 37°4'30".

Frequently Asked Questions

What is the difference between degrees, minutes, and seconds?: Degrees are the largest unit of angular measurement, with 360 degrees in a full circle. Minutes are 1/60th of a degree, and seconds are 1/60th of a minute. This system allows for precise angular measurements.
When should I use decimal degrees instead of degrees, minutes, and seconds?: Decimal degrees are often preferred in digital systems and calculations because they're easier to work with mathematically. However, degrees, minutes, and seconds are still commonly used in navigation, astronomy, and surveying.
Is this calculator accurate for all types of angular measurements?: Yes, this calculator uses standard conversion formulas that are accurate for all types of angular measurements, including geographic coordinates, astronomical observations, and engineering calculations.
Can I use this calculator for negative angles?: Yes, the calculator handles negative angles correctly, which is important for measurements in different directions or hemispheres.