DMS Calculator (Degrees, Minutes, Seconds)
Use this tool to convert between decimal degrees and DMS format. Handy for navigation, land surveying, GIS, astronomy, and map work.
1) Decimal Degrees → DMS
2) DMS → Decimal Degrees
Tip: If you choose S or W, the decimal result is negative. If you leave direction blank, the sign comes from Degrees.
How to use DMS on calculator (quick guide)
DMS stands for Degrees, Minutes, Seconds. Many calculators can work with angles in this format, which is common in geography, navigation, surveying, and trigonometry. The phrase “dms on calculator” usually means one of two things: entering angles like 40° 26′ 46″, or converting between DMS and decimal degrees like 40.4461°.
If you have ever seen a tiny ° ′ ″ key (or a function labeled “DMS”), you already have what you need.
What DMS means
- 1 degree (°) = 60 minutes (′)
- 1 minute (′) = 60 seconds (″)
- 1 degree = 3600 seconds
Example: 12.5° equals 12° 30′ 0″, because half a degree is 30 minutes.
How to enter DMS on a scientific calculator
General button sequence
On most calculators, you enter the number and then press the degree-minute-second key between each part:
Degrees → press DMS key → Minutes → press DMS key → Seconds → press DMS key.
The exact key label differs by model:
- Some show ° ′ ″ directly.
- Some place DMS as a SHIFT or 2nd function.
- Some calculators display DMS only after conversion from decimal input.
Example input
To enter 73° 59′ 8.36″, key in:
- 73, then the DMS key
- 59, then the DMS key
- 8.36, then the DMS key
Convert decimal degrees to DMS manually
If your calculator does not have a DMS conversion function, you can still do it with simple arithmetic:
- Degrees = integer part of decimal value.
- Minutes = integer part of (decimal remainder × 60).
- Seconds = remaining fraction × 60.
Example: convert 40.446111
- Degrees = 40
- Remainder = 0.446111
- Minutes = 0.446111 × 60 = 26.76666 → 26
- Seconds = 0.76666 × 60 = 45.9996 ≈ 46
Final answer: 40° 26′ 46″.
Convert DMS to decimal degrees manually
Use this formula:
Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)
Example: 73° 59′ 8.36″ W
- 73 + 59/60 + 8.36/3600 = 73.985656
- Because direction is West, final value is -73.985656
Common mistakes when using dms on calculator
- Using decimal minutes as decimal degrees: 12°30′ is not 12.30°; it is 12.5°.
- Forgetting sign/direction: South and West should be negative in decimal form.
- Mode confusion: Angle mode (DEG/RAD) affects trig calculations, so confirm you are in DEG when expected.
- Rounding too early: Keep extra decimals until your final step.
Where DMS is used
- GPS coordinates
- Map reading and GIS tools
- Land and property surveys
- Astronomy and navigation
- Engineering drawings with angular notation
Final tip
If you frequently switch between map apps and scientific calculations, it helps to memorize the two conversion formulas and keep a quick converter like the one above bookmarked. That way, whether your calculator has a dedicated DMS key or not, you can still work confidently with angle measurements.