Degrees to Radians Conversion Quiz

Degrees to Radians

• Conversion Formula: Radians = Degrees × (π / 180)
• Examples:
  • 0° = 0 radians
  • 30° = π/6 radians
  • 45° = π/4 radians
  • 60° = π/3 radians
  • 90° = π/2 radians
  • 180° = π radians
  • 360° = 2π radians

Radians to Degrees

• Conversion Formula: Degrees = Radians × (180 / π)
• Examples:
  • 0 radians = 0°
  • π/6 radians ≈ 30°
  • π/4 radians ≈ 45°
  • π/3 radians ≈ 60°
  • π/2 radians = 90°
  • π radians = 180°
  • 2π radians = 360°

Key Notes

• Half-turn: 180° equals π radians.
• Full turn: 360° equals 2π radians.
• Common Angles: Memorize common angle conversions for quick reference.
• Applications: Widely used in trigonometry, calculus, and physics to define angles in circular motion and wave functions.

Degrees to Radians

• Convert degrees to radians by multiplying by π/180.
• 0° = 0 radians, 30° = π/6 radians, 45° = π/4 radians, 60° = π/3 radians, 90° = π/2 radians, 180° = π radians, 360° = 2π radians.

Radians to Degrees

• Convert radians to degrees by multiplying by 180/π.
• 0 radians = 0°, π/6 radians ≈ 30°, π/4 radians ≈ 45°, π/3 radians ≈ 60°, π/2 radians = 90°, π radians = 180°, 2π radians = 360°.

Key Notes

• A half turn, or 180°, is equivalent to π radians.
• A full turn, or 360°, is equivalent to 2π radians.
• Familiarize yourself with common angle conversions for efficient calculations.
• Radian measure is fundamental in trigonometry, calculus, and physics, particularly in describing circular motion and wave functions.