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Angle Converter

Unit Converters

Degrees, radians and gradians

Quick Answer

Angle Converter: Degrees, radians and gradians. Angle Converter uses standard unit conversion formulas to compute accurate results instantly.

Radians (rad)3.141593
Gradians (grad)200.0000
Turns0.5000
QuadrantQuadrant 3
Multiple of π1.0000π

Calculation steps

  1. 1Degrees → radians: 180.0000° × π / 180 = 3.141593 rad
  2. 2Degrees → gradians: 180.0000° × 10/9 = 200.0000 grad
  3. 3Degrees → turns: 180.0000° ÷ 360 = 0.5000 turns

Special angles reference

DegreesRadiansπ formNote
0°0.00000Zero angle
30°0.52360.1667πsin = 1/2
45°0.78540.2500πIsosceles right triangle
60°1.04720.3333πEquilateral triangle angle
90°1.57080.5000πRight angle
180°3.14161.0000πStraight angle
270°4.71241.5000πReflex boundary
360°6.28322.0000πFull turn
One radian is the angle where arc length equals radius (≈57.296°). Math and physics use radians because derivatives of trig functions are simplest in rad; gradians (400 per turn) are mainly used in surveying.

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How to Use

  1. Pick units: switch source and target units in the Angle Converter.
  2. Enter a value: results sync both ways instantly — no convert button needed.
  3. Use the reference table: common conversions are listed for instant lookup.
  4. Copy the result: copy the converted value with its unit.

Key Points

  • Angle Converter is a free online unit conversion tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Degrees, radians and gradians.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Angle Converter formula

Angle Converter uses standard unit conversion formulas to compute accurate results instantly.

FAQ

How do I use the Angle Converter?
Open the page and fill in the input fields — results update automatically. Degrees, radians and gradians.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on SI conversion factors and international standards. Last updated: 2025-07

Authoritative sources:

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Angle Converter[EB/OL]. https://www.yijiansuan.com/en/c/convert/angle

Results provided by this tool are for reference only and do not constitute professional advice.