Murelio

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Angle Converter

Convert plane angle among degrees, radians, gradians (gon), turns, and arcminutes.

How to use

  1. Enter the angle magnitude and choose representations from degree, radian, gon, turn, and arcminute.

Capabilities and scope

Compare systems where a full turn is represented as 360°, 2π rad, 400 gon, or 1 turn.

How it works

Radians are the reference: degree=π/180 rad, gradian=π/200 rad, turn=2π rad, and arcminute=π/10800 rad.

Example

180° = π rad = 200 gon = 0.5 turn.

Useful for

  • Switch between degrees and radians for math
  • Compare gon in surveying
  • Convert arcminutes to degrees

Before you use it

  • Angles are not normalized into a canonical range; the entered rotation magnitude is converted as-is.

Standards and references

Frequently asked questions

Will 360° be normalized to 0°?

No. It is converted to 2π rad or 1 turn, preserving the entered magnitude.

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