Mathematik
Verifizierter Rechner mit transparenter Formel
Degrees to Radians Calculator.
Convert an angle from degrees to radians instantly.
Ihre Eingaben
So funktioniert es
- 1
Enter the angle in degrees.
- 2
Multiply the degree value by π (pi).
- 3
Divide the result by 180.
- 4
The result is the angle in radians.
degrees * pi / 180Häufig gestellte Fragen
Why multiply by π and divide by 180?
Because 180° equals π radians, so the conversion factor is π/180.
Can I convert radians to degrees with this calculator?
No, this calculator only converts degrees to radians. Use the inverse formula (radians × 180/π) for the reverse.
What is the radian value of 360°?
360° equals 2π radians, approximately 6.2832.
Diese Rechner-Kategorie erkunden
Ergebnisse
Formel geprüftRadians
3,142rad
Schätzung nur zur allgemeinen Orientierung – wichtige Entscheidungen mit einem geeigneten Fachmann verifizieren.
So funktioniert es
Convert an angle from degrees to radians instantly.
- Enter the angle in degrees.
- Multiply the degree value by π (pi).
- Divide the result by 180.
- The result is the angle in radians.
Formeln
Die Mathematik hinter diesem Rechner, aufgeschrieben, damit Sie das Ergebnis überprüfen können.
Degrees to Radians
Multiply the angle in degrees by π divided by 180 to get the angle in radians.
Example:
Input: degrees = 45
Calculation: 45 × (π / 180)
Result: ≈ 0.7854 rad
Anwendungsfälle im Alltag
Wo diese Berechnung im täglichen Leben vorkommt.
Trigonometry
Convert angles to radians for sine, cosine, and tangent calculations in math and physics.
Example: sin(30°) = sin(π/6)
Programming
Many programming languages use radians for trigonometric functions, so convert degrees to radians.
Example: Math.sin(degrees * Math.PI / 180)
Engineering
Angular measurements in engineering often require radian units for rotational calculations.
Example: Angular velocity in rad/s
Tipps und häufige Fehler
Tips
- Remember: 180° = π radians, 90° = π/2, 360° = 2π.
- Use the constant π ≈ 3.14159 for manual calculations.
- For quick mental conversion, multiply degrees by 0.0174533 (π/180).
- Check your result: 1 radian ≈ 57.2958°.
Common Mistakes to Avoid
- Forgetting to divide by 180, which gives degrees × π instead of radians.
- Using 3.14 instead of π, leading to slight inaccuracies.
- Confusing radians with degrees in trigonometric functions.
Annahmen und Einschränkungen
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.