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Angle Converter

Convert angles between degrees, radians, gradians, turns and arcminutes instantly. Free, browser-based, no signup.

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90°

Angle Units Explained

Angles can be measured in several ways. Degrees (°) divide a full circle into 360 parts. Radians are the SI unit — a full circle is 2π radians. Gradians (or gons) divide a full circle into 400 parts, used in surveying. Turns express angle as a fraction of a full revolution.

Conversion Reference

AngleDegreesRadiansGradians
Right angle90°π/2 ≈ 1.5708100 grad
Straight angle180°π ≈ 3.1416200 grad
Full circle360°2π ≈ 6.2832400 grad
1 radian≈ 57.296°1≈ 63.662

Arcminutes & Arcseconds

Used in astronomy, navigation and optics: 1° = 60 arcminutes (′) = 3600 arcseconds (″). GPS coordinates use decimal degrees or degrees-minutes-seconds (DMS) notation.

Frequently Asked Questions