Conversor de Ângulos
Converta ângulos entre graus (°), radianos (rad), grados (gon) e mais. Esta ferramenta fornece conversões precisas em tempo real e funciona inteiramente no seu navegador.
1 Grau=0.017453Radiano
How Angle Conversion Works
Angle measurement is fundamental to geometry, engineering, and navigation. Different fields use different units, making conversion essential for interdisciplinary work and international collaboration.
Conversion Formulas Between Common Units
Degrees ↔ Radians
180 degrees = π radians
1 radian ≈ 57.2958 degrees
Degrees ↔ Gradians
90 degrees = 100 gradians
1 gradian = 0.9 degrees
Common Angle References
- Right Angle90°π/2 radians
- Straight Angle180°π radians
- Full Circle360°2π radians
- 45° Angleπ/4 rad50 gradians
- 30° Angleπ/6 rad≈33.33 gradians
Mathematical Formulas
Angle Conversion Equations
Degrees to Radians: θ(rad) = θ(deg) × (π/180)
Radians to Degrees: θ(deg) = θ(rad) × (180/π)
Degrees to Gradians: θ(grad) = θ(deg) × (10/9)
Gradians to Degrees: θ(deg) = θ(grad) × (9/10)
Trigonometric Relations
sin²θ + cos²θ = 1
tan θ = sin θ / cos θ
cot θ = cos θ / sin θ
Arc Length and Area
Arc Length: s = r × θ (where θ is in radians)
Sector Area: A = (1/2) × r² × θ (where θ is in radians)