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Angle Converter

Degrees, radians, gradians, turns and arc minutes/seconds.

Best for: Use it in trigonometry and programming (radians), surveying (gradians), or everyday angles (degrees).

Complete guide

Input

From
To
How it's calculated & sources
The Angle Converter uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.

Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.

How it works

Radian is the SI base. 360° = 2π rad = 400 gon = 1 turn.

Example

180° = π rad ≈ 3.14159 rad.

Frequently asked questions

Is conversion real-time?+

Yes — values update instantly as you type in either field, with full bidirectional input.

Where does the angle reference come from?+

All factors are SI-anchored using internationally accepted conversions.

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Complete guide

Quick answers

Short, sourced answers to the questions people (and AI assistants) ask most.

What is Angle?
An angle converter changes an angle between degrees, radians, gradians and turns.
Why does Angle matter?
The same angle in your target unit.
How is Angle calculated?
Each value is converted through radians (or degrees) using the fixed relationship between them. Formula: 180 degrees = pi radians; 1 radian = 57.2958 degrees; 1 turn = 360 degrees = 2 pi radians; 400 gradians = 360 degrees.
What are common angle mistakes?
Feeding degrees into a function that expects radians (a very common bug).
When should you use the Angle Converter?
Use it in trigonometry and programming (radians), surveying (gradians), or everyday angles (degrees).

What is the Angle Converter?

An angle converter changes an angle between degrees, radians, gradians and turns.

How the Angle Converter works

Each value is converted through radians (or degrees) using the fixed relationship between them.

180 degrees = pi radians; 1 radian = 57.2958 degrees; 1 turn = 360 degrees = 2 pi radians; 400 gradians = 360 degrees

Angle conversions — degrees, radians, gradians, turns

0000
300.523633.330.0833
450.7854500.125
601.0566.670.1667
901.571000.25
1202.09133.30.3333
1803.142000.5
2704.713000.75
3606.284001

Common mistakes to avoid

  • Feeding degrees into a function that expects radians (a very common bug).
  • Forgetting a full turn is 2 pi radians, not pi.
  • Confusing gradians with degrees.

Keywords: angle, degree, radian.

Reviewed by the Free Tools Galaxy editorial team · Updated June 2026 · Calculated privately in your browser.

Frequently asked questions

Is the Angle Converter free to use?+

Yes. Every tool on Free Tools Galaxy is 100% free, runs in your browser and requires no signup.

How accurate is the Angle Converter?+

Angle Converter uses the standard angle formula in double-precision arithmetic, so the same inputs always produce the same result and you can verify any figure by hand. It is an educational estimate — real-world outcomes depend on your actual rates, rules and assumptions.

Do you store my inputs?+

No. The Angle Converter runs entirely in your browser. Nothing is uploaded or saved to a server.

Can I use the Angle Converter on mobile?+

Yes — the interface is fully responsive and works on phones, tablets and desktops.

What are common mistakes to avoid?+

The most frequent mistake is mixing units. Double-check your inputs use a single, consistent unit before clicking Calculate.

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Angle Converter on Free Tools Galaxy — Degrees, radians, gradians, turns and arc minutes/seconds. https://freetoolsgalaxy.com/tools/angle-converter
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# Angle Converter — the free tool I keep coming back to

Degrees, radians, gradians, turns and arc minutes/seconds.

Try it: https://freetoolsgalaxy.com/tools/angle-converter
Quora answer
The fastest way is to use a free in-browser angle converter: https://freetoolsgalaxy.com/tools/angle-converter. Degrees, radians, gradians, turns and arc minutes/seconds.

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