Conversions

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Radians to Degrees Converter.

Convert angles between radians and degrees using π radians per 180 degrees.

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Result: 57.29577951

Result

57.29577951

Use Cases

Math and Trigonometry Homework

Quickly check your manual conversions between radians and degrees for sine, cosine, and tangent problems.

Example: Convert 3π/4 radians to degrees: result is 135°.

Engineering and Physics Calculations

Switch between units when working with angular velocity, phase angles, or rotational motion.

Example: Convert 45° to radians for a physics formula: result is π/4 ≈ 0.7854 rad.

Frequently Asked Questions

How do I convert radians to degrees?
Multiply the radian value by 180/π. For example, π radians equals 180°, and 1 radian is approximately 57.2958°. This calculator uses the exact conversion factor π radians = 180°.
What is the formula for degrees to radians?
Multiply the degree value by π/180. For instance, 180° equals π radians, and 90° equals π/2 radians. The calculator applies this formula automatically.
Can I convert any angle value?
Yes, you can enter any positive or negative numeric value. The calculator works for all real numbers, including fractional and decimal angles.

Tips & Common Mistakes

Tips

  • Remember that π radians equals 180°, so 2π radians is a full circle (360°).
  • For quick mental conversion, multiply radians by 57.2958 to get degrees.
  • Use the calculator to verify your manual calculations, especially with fractional π values.
  • When entering negative angles, the calculator handles them correctly for both directions.

Common Mistakes to Avoid

  • Forgetting to multiply by 180/π when converting radians to degrees, leading to incorrect results.
  • Using 3.14 instead of π, which introduces rounding errors; the calculator uses the exact π value.
  • Confusing the conversion direction: degrees to radians uses π/180, not 180/π.

Last updated: August 13, 2026