Free · Angle calculators 🕑
DMS, Decimal Degrees & Angle Unit Table
Compare degrees-minutes-seconds, decimal degrees and a third angle unit in the same table.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
45° 30′ 0″ equals 45.5°. The third field can show radians, turns, gradians or fine arcsecond units for the same angle.
1 degree = 60 arcminutes = 3,600 arcseconds; 180 degrees = π radians
Worked example
Enter these known values and leave the other values blank.
- Degrees:minutes:seconds
- 45:30:0 deg / min / sec
- Decimal degrees
- 45.5 deg
- Same angle in another unit
- 0.7941 rad
Assumptions and limitations
- Enter the compound field as degrees:minutes:seconds. A single leading minus sign applies to the entire angle.
- The first two fields keep their DMS and decimal-degree representations. The third field provides the additional unit selector.
- Milliarcseconds, microarcseconds and nanoarcseconds are angular units. They do not express elapsed time or linear distance.
- Values outside a single revolution are preserved. This table does not validate geographic coordinates, attach north/south/east/west or reduce a bearing to one turn.
Common questions
What is the difference between arcminutes and decimal minutes?
An arcminute is 1/60 degree. In a DMS value, 30 arcminutes adds 0.5 degree, not 0.30 degree.
Can I work backwards from decimal degrees?
Yes. Enter the decimal-degree value and the compound representation updates, along with the third selected angle unit.
References
The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.