Calculator Form
Use the single-angle fields, the batch box, or both. Minutes and seconds may exceed 59 because the calculator converts their exact fractional contribution.
Example Data Table
| Angle Input | Working | Decimal Degrees |
|---|---|---|
| 30° 15′ 00″ | 30 + 15/60 + 0/3600 | 30.25° |
| -15° 45′ 30″ | -1 × (15 + 45/60 + 30/3600) | -15.758333° |
| 120° 30′ 15″ E | +1 × (120 + 30/60 + 15/3600) | 120.504167° |
| 8° 59′ 59.9″ S | -1 × (8 + 59/60 + 59.9/3600) | -8.999972° |
Formula Used
The calculator first converts minutes and seconds into fractional degrees. It then applies the selected sign or direction. Finally, it returns raw decimal degrees, optional normalized output, radians, total arcminutes, and total arcseconds.
How to Use This Calculator
- Enter degrees, minutes, and seconds for one angle, or paste multiple lines into the batch box.
- Choose Auto to use the degree sign, or force Positive, Negative, N, S, E, or W.
- Set decimal places and select a normalization mode when you want wrapped output.
- Click Convert Angle to see the result above the form, plus the worked steps, graph, and exports.
FAQs
1) What does decimal angle mean?
A decimal angle expresses the full angle in one decimal-degree value instead of separating it into degrees, minutes, and seconds.
2) How is DMS converted into decimal degrees?
Add degrees to minutes divided by sixty and seconds divided by three thousand six hundred, then apply the required sign or direction.
3) Can minutes or seconds be greater than 59?
Yes. This tool accepts larger values and converts their exact fractional contribution, which is useful when data comes from merged or unnormalized measurements.
4) Do negative values and S or W directions mean the same thing?
Yes. Negative, South, and West are treated as negative signs. Positive, North, and East are treated as positive signs.
5) Why would I normalize the angle?
Normalization keeps output inside a chosen range, such as 0° to 360° or -180° to 180°, which helps with navigation, plotting, and rotation logic.
6) Can this calculator handle decimal seconds?
Yes. Seconds can include decimals, so inputs like 15.75 seconds are converted accurately into fractional degrees.
7) How does batch mode work?
Enter one angle per line using spaces, commas, or symbols. The calculator processes each line, shows a results table, and plots the batch outputs.
8) What do the CSV and PDF downloads include?
They include the main single-angle result, derived outputs, and any batch rows shown on the page, making reporting and sharing easier.