Angle Converter
Convert decimal degrees, radians, turns, gradians and arcminutes or arcseconds.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Normalize decimal angle magnitudes to radians; retain the sign and all complete turns.
1 turn=360°=2π rad=400 gon; 1°=60 arcmin=3600 arcsec
Worked example
180 degrees is π radians, half a turn, 200 gon and 10800 arcminutes.
Assumptions and input details
Inputs are decimal values, not degree-minute-second digit strings. Arcminutes and arcseconds are angular units, not elapsed time. Negative angles and multiple revolutions are retained without wrapping to 0–360°. Geographic hemisphere notation is handled separately.
References: NIST Guide to the SI: conversion factors
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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