Decimal Degrees to Degrees Minutes Seconds
Convert a signed decimal angle to degrees, minutes and seconds, rounded to 0.001 arcsecond.
Formula
1° = 60′ = 3600″; the sign applies to the whole angle.
Degrees ≈ floor((45,000,000)÷3600000) · Arcminutes ≈ floor(((45,000,000)-(12)×3600000)÷60000) · Arcseconds ≈ ((45,000,000)-(12)×3600000-(30)×60000)÷1000
How to use
- Enter decimal degrees.
- Read the separate sign and angle components.
- Keep the sign even when the degree component is zero.
Examples
- −0.125° = −(0° 7′ 30″).
Reference table
| Range | Category |
|---|---|
| Below 0 | negative |
| 0 and above | positive |
Frequently asked questions
What is 12.5° in DMS?
12° 30′ 0″.
How are negative angles shown?
The sign is separate; −0.125° is −(0° 7′ 30″).
Can seconds become 60?
Rounding carries into minutes or degrees so each component stays normalized.
Sources
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