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此计算器目前以英文显示，翻译正在准备中。

数学

已验证计算器，公式透明

数学

Degrees to Radians Calculator.

Convert an angle from degrees to radians instantly.

结果随输入实时更新。
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您的输入

工作原理

  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

常见问题

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.

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结果

公式已检查

Radians

3.142rad

询问任何问题

估算仅供参考——重要决策请咨询专业人士。

工作原理

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.

公式

此计算器背后的数学公式，供您核对结果。

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

实际应用场景

此计算在日常生活中的应用。

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

提示与常见错误

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.

假设与限制

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