Radians to Degrees Converter

Our converter is designed for students, engineers, and professionals who need to convert radians to degrees accurately and efficiently.

Calculator

Degrees: 0°

Data Source and Methodology

All calculations are strictly based on the formulas and data provided by RapidTables. All calculations are rigorously based on these formulas and data.

The Formula Explained

\[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \]

Glossary of Variables

  • Radians: The input value representing the angle in radians.
  • Degrees: The resulting value after conversion from radians.

How It Works: A Step-by-Step Example

For example, if you input 1 radian, the calculation would be:

\[ 1 \times \frac{180}{\pi} = 57.2958 \text{ degrees} \]

Frequently Asked Questions (FAQ)

What is a radian?

A radian is a unit of angular measure used in mathematics. It is the angle created when the arc length is equal to the radius of the circle.

Why use radians instead of degrees?

Radians provide a natural way of measuring angles and are often used in calculus and other mathematical contexts for their simplicity and elegance.

How do I convert degrees to radians?

The formula to convert degrees to radians is: Radians = Degrees × π/180.

What is the relationship between π and radians?

π radians is equivalent to 180 degrees, which is why the conversion involves multiplying by 180/π.

Is this calculator accurate?

Our calculator uses precise formulas to ensure accurate conversions. However, always double-check results for critical applications.

Tool developed by Ugo Candido. Content reviewed by the CalcDomain Expert Team.
Last reviewed for accuracy on: October 15, 2023.

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