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Survey Degrees Minutes Seconds Calculator

DMS to Decimal Conversion:

\[ \text{Decimal Degrees} = d + \frac{m}{60} + \frac{s}{3600} \]

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1. What is DMS to Decimal Conversion?

Degrees Minutes Seconds (DMS) is a format for representing angles, while decimal degrees is an alternative format that makes calculations easier. This conversion is essential in surveying, navigation, and geographic information systems.

2. How Does the Calculator Work?

The calculator uses the conversion formula:

\[ \text{Decimal Degrees} = d + \frac{m}{60} + \frac{s}{3600} \]

Where:

  • \( d \) — Degrees (0-360)
  • \( m \) — Minutes (0-59)
  • \( s \) — Seconds (0-59.999...)

Explanation: The formula converts each component to its decimal equivalent by dividing minutes by 60 and seconds by 3600 (60×60), then sums them all.

3. Importance of Angle Conversion

Details: Decimal degrees are easier to use in calculations and digital systems, while DMS is more human-readable and traditional in surveying.

4. Using the Calculator

Tips: Enter degrees (0-360), minutes (0-59), and seconds (0-59.999...). All values must be within their valid ranges.

5. Frequently Asked Questions (FAQ)

Q1: What's the maximum value for degrees?
A: 360°, as angles in surveying typically range from 0° to 360°.

Q2: How precise is this conversion?
A: The calculator shows results to 6 decimal places (about 0.1 meter at the equator).

Q3: Can I convert negative angles?
A: For negative angles (like latitude south of equator), enter positive values and manually add the negative sign to the result.

Q4: What about angles beyond 360°?
A: Angles beyond 360° should be reduced by subtracting 360° until within range before conversion.

Q5: How do I convert decimal back to DMS?
A: Multiply the decimal portion by 60 for minutes, then multiply the new decimal portion by 60 for seconds.

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