Which angle units does this calculator convert?

The form converts degrees, radians, gradians, and turns. It does not directly include arcminutes or arcseconds in the selectable units, so DMS work should use the linked DMS tools. It multiplies the input by the ratio of the source unit's radian factor to the target unit's radian factor.

Why are radians the bridge unit?

Radians are the natural angular unit for trigonometry because a radian relates arc length to radius on a circle. The calculator stores each supported unit as a multiplier into radians, then uses the ratio between the selected source and target factors without rounding an intermediate radian value.

How many degrees are in one turn?

One turn is a complete rotation, equal to 360 degrees, 2 pi radians, or 400 gradians. The calculator accepts turns as ordinary numbers, so 0.25 turns becomes a right angle and 2 turns becomes two full rotations rather than being reduced to a single circle.

Conversion tool map

Angles & coordinates

Angle, direction, and coordinate representations.

Choose the tool whose inputs and output match your task. Check each calculator’s assumptions and limitations before using its result.

Latest update: Jul 10, 2026

These tools handle angles, geographic coordinates, and light measurement. Start with the angle converter for rotation in degrees, radians, gradians, and turns — a math tool rather than a map tool. Positions on the Earth belong to the lat long to UTM converter, which projects WGS84 latitude and longitude into UTM zones, easting, and northing. For lighting specifications, the luminous intensity converter relates candela, lumen, and lux once distance and solid angle are given. Choose by what your measurement describes. More converters live in the Conversion collection.

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Angles & coordinates3 calculators

Angle Converter Calculator

Convert angles among degrees, radians, gradians, and turns with formulas, reference values, and notes that separate circular angle units from DMS coordinate notation.

Updated Jul 10, 2026

Verified Aug 11, 2026

Lat Long to UTM Converter

Convert WGS84 latitude and longitude to UTM zone, hemisphere, easting, northing, latitude band, and central meridian with projection notes.

Updated Jul 9, 2026

Verified Aug 11, 2026

Luminous Intensity Converter

Convert among candela, lumen, and lux using distance and solid-angle assumptions, with exact formulas from the calculator and lighting design cautions.

Updated Jul 10, 2026

Verified Aug 11, 2026

Frequently asked questions

Which angle units does this calculator convert?: The form converts degrees, radians, gradians, and turns. It does not directly include arcminutes or arcseconds in the selectable units, so DMS work should use the linked DMS tools. It multiplies the input by the ratio of the source unit's radian factor to the target unit's radian factor.
Why are radians the bridge unit?: Radians are the natural angular unit for trigonometry because a radian relates arc length to radius on a circle. The calculator stores each supported unit as a multiplier into radians, then uses the ratio between the selected source and target factors without rounding an intermediate radian value.
How many degrees are in one turn?: One turn is a complete rotation, equal to 360 degrees, 2 pi radians, or 400 gradians. The calculator accepts turns as ordinary numbers, so 0.25 turns becomes a right angle and 2 turns becomes two full rotations rather than being reduced to a single circle.