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To convert an angle from degrees, minutes, and seconds to decimal degrees, follow these steps:
1 Degree = 60 Minutes
1 Degree = 3600 Seconds
1 Degree = π/180 Radians
1 Radian = 100 Centiradians
The formula is: Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)
Use the form above to input the angle in degrees, minutes, and seconds, and the calculator will provide the result in multiple units.
| Minutes (0-60) | Decimal Degrees |
|---|---|
| 0 | 0.000000000000 |
| 6 | 0.100000000000 |
| 12 | 0.200000000000 |
| 18 | 0.300000000000 |
| 24 | 0.400000000000 |
| 30 | 0.500000000000 |
| 36 | 0.600000000000 |
| 42 | 0.700000000000 |
| 48 | 0.800000000000 |
| 54 | 0.900000000000 |
| 60 | 1.000000000000 |
| Seconds (0-60) | Decimal Degrees |
|---|---|
| 0 | 0.000000000000 |
| 6 | 0.001666666667 |
| 12 | 0.003333333333 |
| 18 | 0.005000000000 |
| 24 | 0.006666666667 |
| 30 | 0.008333333333 |
| 36 | 0.010000000000 |
| 42 | 0.011666666667 |
| 48 | 0.013333333333 |
| 54 | 0.015000000000 |
| 60 | 0.016666666667 |
| Degrees (0-90) | Decimal Degrees |
|---|---|
| 0 | 0.000000000000 |
| 10 | 10.000000000000 |
| 20 | 20.000000000000 |
| 30 | 30.000000000000 |
| 40 | 40.000000000000 |
| 50 | 50.000000000000 |
| 60 | 60.000000000000 |
| 70 | 70.000000000000 |
| 80 | 80.000000000000 |
| 90 | 90.000000000000 |
This calculator helps you convert angles from degrees, minutes, and seconds to decimal degrees, with additional conversions to radians and centiradians.
Steps to use:
This tool is useful for applications in navigation, astronomy, and surveying where angles need to be converted to various units.
There are 60 minutes in a degree, and 3600 seconds in a degree. To convert minutes to degrees, divide by 60. To convert seconds to degrees, divide by 3600.
To convert decimal degrees back to degrees, minutes, and seconds, take the integer part as degrees, multiply the decimal part by 60 to get minutes, and multiply the decimal part of the minutes by 60 to get seconds.
Yes, this calculator supports negative angles. Enter a negative value for degrees if the angle is south (latitude) or west (longitude).
Radians and centiradians are included because they are commonly used in mathematics, physics, and engineering for angular measurements, such as in trigonometry or rotational dynamics.
This calculator is useful for navigation (e.g., GPS coordinates), astronomy (e.g., star positions), surveying (e.g., land measurements), and geography (e.g., mapping), where angles need to be converted to decimal degrees, radians, or centiradians for calculations.