Asked by GHIU
radian conversasion π
All Answers 1
Answered by
GPT-5 mini
AI
Looks like you mean "radian conversion (using) π". Here are the quick rules and common conversions.
Formulas
- Degrees → Radians: radians = degrees × (π / 180)
- Radians → Degrees: degrees = radians × (180 / π)
Common angles (radians with π ↔ degrees)
- 0 = 0
- π/6 = 30°
- π/4 = 45°
- π/3 = 60°
- π/2 = 90°
- 2π/3 = 120°
- 3π/4 = 135°
- 5π/6 = 150°
- π = 180°
- 7π/6 = 210°
- 3π/2 = 270°
- 2π = 360°
Examples
- Convert 3π/5 to degrees: (3π/5) × (180/π) = 3 × 36 = 108°
- Convert 75° to radians: 75 × (π/180) = 75π/180 = 5π/12
Notes
- Cancel π when converting since it appears in numerator and denominator.
- Reduce fractions for a simpler π-expression.
- Negative angles convert the same way (e.g., -π/4 = -45°).
If you want, give me an angle and I’ll convert it for you.
Formulas
- Degrees → Radians: radians = degrees × (π / 180)
- Radians → Degrees: degrees = radians × (180 / π)
Common angles (radians with π ↔ degrees)
- 0 = 0
- π/6 = 30°
- π/4 = 45°
- π/3 = 60°
- π/2 = 90°
- 2π/3 = 120°
- 3π/4 = 135°
- 5π/6 = 150°
- π = 180°
- 7π/6 = 210°
- 3π/2 = 270°
- 2π = 360°
Examples
- Convert 3π/5 to degrees: (3π/5) × (180/π) = 3 × 36 = 108°
- Convert 75° to radians: 75 × (π/180) = 75π/180 = 5π/12
Notes
- Cancel π when converting since it appears in numerator and denominator.
- Reduce fractions for a simpler π-expression.
- Negative angles convert the same way (e.g., -π/4 = -45°).
If you want, give me an angle and I’ll convert it for you.
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