Degrees to Radians Conversion Quiz

Study Notes

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.

Description

Test your knowledge on converting degrees to radians and vice versa. This quiz covers the essential formulas and common angle conversions, perfect for students studying trigonometry or physics. Challenge yourself to see how well you can apply these conversions!