Geographic radians to degrees converter for coordinates

This converter changes one geographic coordinate from radians to degrees by multiplying it by 180 and dividing by pi. Select whether the number represents latitude or longitude, and the tool also checks that the result falls within the valid range for that coordinate axis.

Convert a geographic coordinate correctly

Enter the numeric coordinate exactly as your source supplies it in radians, then identify it as latitude or longitude. The converter applies the standard relationship: degrees equal radians multiplied by 180 and divided by pi. That relationship makes pi radians equal 180 degrees, pi divided by two equal 90 degrees, and zero remain zero in either unit. The axis selection is meaningful rather than decorative. Latitude is limited to the interval from negative pi divided by two through positive pi divided by two, corresponding to 90 degrees south through 90 degrees north. Longitude is limited to negative pi through positive pi, corresponding to 180 degrees west through 180 degrees east. A value outside the selected range is rejected instead of returning a plausible-looking coordinate that cannot exist. The response includes the normalized axis, the supplied radian value, the converted decimal-degree value, and the formula used, making the result easy to inspect or pass into another deterministic processing step.

Understand signs, axes, and boundary values

The sign is preserved during conversion. For latitude, a positive result conventionally indicates north and a negative result indicates south. For longitude, a positive result conventionally indicates east and a negative result indicates west. This capability leaves the value signed rather than adding a hemisphere letter, which makes its output suitable for standard decimal-coordinate fields and geographic data formats. Exact boundary inputs are accepted: positive or negative pi divided by two is valid for latitude, and positive or negative pi is valid for longitude. Zero is returned as ordinary zero, including when JavaScript would otherwise retain a negative-zero representation. The converter accepts only a finite JSON number. It rejects missing values, text, infinity, and not-a-number values so an upstream data problem does not silently become a misleading location. Choose the axis that describes the field itself, not the hemisphere. For example, a western coordinate is still longitude; its negative sign expresses west. Likewise, a southern coordinate is latitude with a negative value.

Use the result in mapping and data workflows

Radians appear frequently in navigation calculations, spatial libraries, scientific models, telemetry, and exported application state. Decimal degrees are usually preferable when displaying a location, filling a map form, writing GeoJSON-style coordinate arrays, reviewing logs, or comparing a result with a conventional GPS reading. Convert latitude and longitude separately and keep their axis labels attached, because many formats order longitude before latitude even though people often say latitude first. This operation changes only the angular unit; it does not change the datum, projection, coordinate reference system, altitude, precision of the original measurement, or physical location. It also does not wrap an out-of-range longitude or clamp an invalid latitude, since either behavior could conceal incorrect data. The pure arithmetic is deterministic and uses no network, storage, random source, or current time. You can run the browser version for an immediate check, or automate the same calculation through the API for $0.002 per item when normalizing coordinate records in a repeatable pipeline.