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Mathematiques

Calculatrice vérifiée avec une formule transparente

Mathematiques

Degrees to Radians Calculator.

Convert an angle from degrees to radians instantly.

Les résultats se mettent à jour en direct pendant que vous tapez.
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Vos entrées

Comment ça marche

  1. 1

    Enter the angle in degrees.

  2. 2

    Multiply the degree value by π (pi).

  3. 3

    Divide the result by 180.

  4. 4

    The result is the angle in radians.

degrees * pi / 180

Questions fréquentes

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.

Explorer cette catégorie de calculatrices

Résultats

Formule vérifiée

Radians

3,142rad

Estimation à titre indicatif uniquement — vérifiez les décisions importantes avec un professionnel approprié.

Comment ça marche

Convert an angle from degrees to radians instantly.

  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.

Formules

Les mathématiques derrière cette calculatrice, écrites pour que vous puissiez vérifier le résultat.

Degrees to Radians

radians = degrees × (π / 180)

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

Cas d'utilisation réels

Où ce calcul apparaît dans la vie quotidienne.

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

Conseils et erreurs courantes

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.

Hypothèses et limites

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.