The angle calculator is designed to perform operations with angular values represented in various formats: degrees, minutes, and seconds (DMS), decimal degrees, and radians. It allows for accurate conversion and computation of values used in geometry, astronomy, geodesy, and engineering calculations.
Angle Representation Formats
| Format | Description |
|---|---|
| Degrees, minutes, seconds (DMS) | 1° = 60', 1' = 60" |
| Decimal degrees | Angle in the form of a decimal number (e.g., 45.5°) |
| Radians | Unit of angle measurement in SI |
Conversion from DMS to Decimal Degrees
deg = D + (M / 60) + (S / 3600)
Conversion from Decimal Degrees to DMS
D = whole part;
M = whole part ((deg - D) × 60);
S = ((deg - D) × 60 - M) × 60
Conversion from Degrees to Radians
rad = deg × π / 180
Conversion from Radians to Degrees
deg = rad × 180 / π;
Angle Operations
Angles specified in DMS format can be multiplied or divided by numerical coefficients. The result is then converted to decimal format, the operation is performed, and the value can be returned to DMS.
degresult = deg × k
degresult = deg / k
All calculations are performed with accuracy to seconds, allowing the results to be used in high-precision applied tasks.