Radian and Degrees Converter

How to Use This Converter

1. Enter the numeric value you want to convert in the 'Input Value' field.
2. Select the unit of your input value from the 'From Unit' dropdown (radians or degrees).
3. The 'To Unit' will automatically be set to the other unit.
4. Click the 'Convert' button to see the result and calculation process.

Conversion Factors

• 1 radian ≈ 57.2958 degrees
• 1 degree ≈ 0.0174533 radians

Common Angle Values

• Right angle: 90° = π/2 rad
• Straight angle: 180° = π rad
• Full rotation: 360° = 2π rad

Applications

• Mathematics: Trigonometry, calculus, and complex analysis often use radians.
• Physics: Angular velocity and frequency are typically expressed in radians.
• Engineering: Both units are used depending on the specific application.
• Navigation: Degrees are commonly used in GPS and map coordinates.

About this Radian-Degrees Converter

This angle converter allows you to convert between radians and degrees, two fundamental units used in mathematics, physics, and engineering. It uses precise calculations to ensure accurate results for scientific, educational, and practical applications.

This converter performs all calculations locally in your browser. No data is sent to any server.

Historical Note: The concept of radian was first described by Roger Cotes in 1714, but it wasn't until 1873 that the term 'radian' was coined by James Thomson, the brother of Lord Kelvin.