UnitCompiler
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Angles & Degrés Convertisseur

Convertissez degrés, radians, grades, minutes d'arc, secondes d'arc et tours.

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°
0
rad
Formule rad = ° × 0.017453
1 ° = 0.0175 rad
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Rapporteur d'Angles Visuel Interactif

Faites glisser le curseur pour inspecter les métriques angulaires en temps réel

Acute Angle (0° < θ < 90°)
45.0°
Degrés
45°
1/360
Radians (rad)
0.7854 rad
0.2500 π rad
Grades (grad)
50 grad
1/400
Tours Complets
0.1250 rev
2,700′ arcmin
θ = 45.0°
0° (0 rad) 90° (π/2) 180° (π) 270° (3π/2) 360° (2π)
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Référence et Facteurs de Conversion

Angles & Degrés Référence et Facteurs de Conversion

Unité de référence de base : Degrés (°) (°)

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Nom de l'Unité Symbole Classification Valeur en Degrés (°) Description
Degrés (°) ° 📐 Standard Geometric & SI Units 1 ° = 1 ° 1/360th of a full circle rotation (standard planar angle base)
Radians (rad) rad 📐 Standard Geometric & SI Units 1 rad = 57.29577951 ° SI derived unit of angle ($2\pi\text{ rad} = 360^\circ \approx 57.2958^\circ$)
Grades (gon) grad 📐 Standard Geometric & SI Units 1 grad = 0.9 ° Metric decimal angle system ($100\text{ grad} = 90^\circ$ right angle)
Milliradians mrad 📐 Standard Geometric & SI Units 1 mrad = 0.05729578 ° 1/1,000th of a radian, widely used in optics, sniper scopes & ballistics
Microradians µrad 📐 Standard Geometric & SI Units 1 µrad = 0.0000573 ° 1/1,000,000th of a radian for precision laser interferometer alignment
Minutes d'arc (′) ′ 🔭 Astronomical & Arc Subdivisions 1 ′ = 0.01666667 ° 1/60th of a degree ($60\text{ arcmin} = 1^\circ$, MOA in precision shooting)
Secondes d'arc (″) ″ 🔭 Astronomical & Arc Subdivisions 1 ″ = 0.00027778 ° 1/3,600th of a degree ($60\text{ arcsec} = 1\text{ arcmin}$)
Millièmes de seconde d'arc mas 🔭 Astronomical & Arc Subdivisions 1 mas = 2.7778e-7 ° 1/1,000th of an arcsecond for astronomical stellar parallax (Gaia telescope)
Microsecondes d'arc µas 🔭 Astronomical & Arc Subdivisions 1 µas = 2.7778e-10 ° Deep space interferometer angular resolution (Event Horizon Telescope)
Tours Complets (Révolutions) rev 🔄 Circular Cycles & Geometric Sectors 1 rev = 360 ° One complete rotation ($360^\circ$ or $2\pi\text{ radians}$)
Quadrants (Angles Droits) quad 🔄 Circular Cycles & Geometric Sectors 1 quad = 90 ° 1/4th of a full rotation ($90^\circ$ perpendicular right angle)
Sextants (60°) sextant 🔄 Circular Cycles & Geometric Sectors 1 sextant = 60 ° 1/6th of a full rotation ($60^\circ$ equilateral triangle angle)
Octants (45°) octant 🔄 Circular Cycles & Geometric Sectors 1 octant = 45 ° 1/8th of a full rotation ($45^\circ$ diagonal angle)
Signes Zodiacaux (30°) sign 🔄 Circular Cycles & Geometric Sectors 1 sign = 30 ° 1/12th of a circular celestial sphere ($30^\circ$ celestial longitude)
Mils OTAN (6400/rev) mil 🎯 Military, Navigation & Digital Systems 1 mil = 0.05625 ° Standard NATO military artillery compass ($6,400\text{ mils} = 360^\circ$)
Mils Soviétiques (6000/rev) mil (Soviet) 🎯 Military, Navigation & Digital Systems 1 mil (Soviet) = 0.06 ° Eastern European artillery angle system ($6,000\text{ mils} = 360^\circ$)
Streck Suédois (6300/rev) streck 🎯 Military, Navigation & Digital Systems 1 streck = 0.05714286 ° Nordic defense artillery system ($6,300\text{ streck} = 360^\circ$)
Points de Boussole (11,25°) pt 🎯 Military, Navigation & Digital Systems 1 pt = 11.25 ° Traditional 32-point nautical mariner compass ($1\text{ pt} = 11.25^\circ$)
Radians Binaires (Brad) brad 🎯 Military, Navigation & Digital Systems 1 brad = 1.40625 ° 8-bit binary fixed-point angle for GPUs and 3D math ($256\text{ brads} = 360^\circ$)

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