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Conversion Tools

Angle Converter

Convert signed angles between degrees, radians, gradians, turns, arcminutes, arcseconds and DMS. Choose DMS precision and optional full-turn normalization.

Your content stays on your device Free, with no account
Clear units. Explicit assumptions. Local conversion · no uploads
Decimal/scientific notation, or signed DDD:MM:SS when DMS is selected as source.
DMS uses degrees:minutes:seconds with normalized carry.
Display rounding only. Exact values remain available where the definitions are exact.

Radians use a 50-decimal approximation of π and are marked approximate when converted to another unit. Other angular factors are exact. Signed angles and multiple turns are supported.

YOUR CONVERSION

Enter values to convert.

Unit conventions: NIST SP 811 references ↗. Exact definitions are derived algebraically; π-based angular values are explicitly approximate.

A FEW SIMPLE STEPS

How to use Angle Converter

  1. Enter your value and select the source and target units. Results update locally as inputs change.
  2. Set any required quantity basis or reference. Radians use a 50-decimal approximation of π and are marked approximate when converted to another unit. Other angular factors are exact. Signed angles and multiple turns are supported.
  3. Choose significant digits with the slider or exact input. Review the result, factors and quantity details.
  4. Copy the result or download a TXT report. Clear releases the entered value and result; category shortcuts open other standalone converters.
PRIVATE BY DESIGN

Why use this tool?

Your values and assumptions remain on your device. Self-hosted JavaScript uses exact fraction arithmetic for defined factors before display rounding; angular values involving π disclose their approximation. No account, upload, remote API or saved input history is used.

Tool inputs stay in your browser. Only your theme preference is saved on this device.

A few things worth knowing

What does this converter support?

Convert signed angles between degrees, radians, gradians, turns, arcminutes, arcseconds and DMS. Choose DMS precision and optional full-turn normalization.

Which definitions and assumptions apply?

Radians use a 50-decimal approximation of π and are marked approximate when converted to another unit. Other angular factors are exact. Signed angles and multiple turns are supported.

Are the results exact?

Defined rational/decimal conversion factors are applied with exact integer fractions before rounding to 2–12 significant digits. Approximate displayed values are marked ≈. Radian conversions use a disclosed 50-decimal approximation of π. Exact math cannot improve the precision of your original measurement or correct unsuitable reference conditions.

What input formats are supported?

Use a decimal dot and optional scientific notation, with up to 120 digits, 180 characters and exponents from −500 to 500. Angle Converter also accepts signed DDD:MM:SS when DMS is selected. The tool reports invalid quantities, zero reciprocals or missing references rather than keeping an old result.

Are values uploaded or stored?

No. All conversion runs locally in the page. Results are copied or downloaded only when you choose. The website stores only the theme preference. Switching standalone pages does not transfer your inputs.

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