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Angle Converter

Degrees · Radians · Gradians · Arcminutes · Arcseconds — for geometry, navigation, construction

🔄
Converted Angle
3.1416 rad
180° = 3.1416 radians (π rad)
📐 In degrees 180 °
📏 In radians 3.14 rad
🎯 In gradians 200 grad

📊 Common Angle Conversions

0° = 0 rad = 0 grad
30° = π/6 rad = 33.33 grad
45° = π/4 rad = 50 grad
60° = π/3 rad = 66.67 grad
90° = π/2 rad = 100 grad
180° = π rad = 200 grad
270° = 3π/2 rad = 300 grad
360° = 2π rad = 400 grad

🌍 Real-World Angle Uses

🏠 Construction: Right angle (90°)
🪚 Woodworking: 45° cut for miter joints
📐 Geometry: 30-60-90 triangle
🔄 Navigation: Turn around (180°)
⭕ Full rotation (360°)
🎯 Archery: 0.5° adjustment

📖 Conversion Formulas

deg → rad: × π/180
rad → deg: × 180/π
deg → grad: × 10/9
grad → deg: × 9/10
1° = 60' (arcminutes)
1' = 60" (arcseconds)

💡 Angle Tips

📐 Radians are used in calculus and physics
🗺️ Degrees are used in navigation and everyday life
📏 Gradians are used in surveying and some European construction
🎯 Arcseconds are used in astronomy and precision optics
📐 5 angle units
🔄 deg ↔ rad ↔ grad
🎯 arcminutes ↔ arcseconds
📊 Common angle reference