Angle Converter
The Angle Converter changes an angle between degrees, radians, gradians, arcminutes, and arcseconds by converting through degrees.
What this calculator does
The Angle Converter estimates your result instantly from the values you enter, using standard math & conversions formulas. The Angle Converter changes an angle between degrees, radians, gradians, arcminutes, and arcseconds by converting through degrees. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Angle Converter
Angles can be expressed in several units: degrees, radians, gradians, arcminutes, and arcseconds. This converter changes a value from one unit to another by first converting it to degrees, using the relationships 180° = π radians, 1 gradian = 0.9°, 1 arcminute = 1/60°, and 1 arcsecond = 1/3600°.
Enter a value, choose the unit you are converting from and the unit you want, and the converter returns the result.
Formula & Mathematical Calculation
toDeg = { deg: 1, rad: 180 ÷ Math.PI, grad: 0.9, arcmin: 1 ÷ 60, arcsec: 1 ÷ 3600 }
deg = v × toDeg[from]
Derived directly from the verified calculation function in the tool engine.
Calculation Example
To convert 90 degrees to radians, the converter uses 90 × π ÷ 180, which gives approximately 1.570796 radians (that is, π/2).
Key Benefits
- Converts between degrees, radians, gradians, arcminutes, and arcseconds
- Handles decimals for precise angle values
- Uses standard relationships such as 180 degrees = pi radians
- Runs in your browser with no data sent to a server
How to Use this Calculator
-
Enter the angle value
Type the numeric angle into the value field. -
Choose the units
Select the unit you are converting from and the unit you want to convert to. -
Calculate
Press Calculate to see the converted angle.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Angle Converter produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.