Radians to Degrees Converter
Convert between radians and degrees instantly with our accurate and easy-to-use tool. Perfect for mathematics, physics, engineering, and any application requiring angle conversions.
Conversion Formula: 1 radian = 180/π ≈ 57.2958° | 1° = π/180 ≈ 0.0174533 radians
About This Angle Converter
Our Radians to Degrees Converter is a precise tool designed to help you effortlessly convert between these two angle measurements. Whether you’re solving trigonometry problems, working with angular velocity, or programming graphics, this tool provides instant, accurate results.
The converter uses the exact mathematical relationship between radians and degrees (1 rad = 180/π°) to ensure precision. The interface is optimized for both desktop and mobile use, with real-time conversion as you type for maximum convenience.
Key Features
Precise Calculation
Uses exact mathematical constants for accurate conversions between angle units.
Bidirectional
Convert from radians to degrees or degrees to radians with equal ease and accuracy.
Academic Ready
Perfect for students and professionals working with trigonometric functions.
Completely Free
No limitations or registration required for unlimited use.
Why Choose Our Converter?
- Mathematical Accuracy: Uses exact conversion factors (π constant) for reliable results
- Instant Results: Get conversions immediately without page reloads
- Decimal Precision: Handles both simple and complex angular values
- Educational Value: Shows the exact conversion formula used
- Accessibility: Works on all devices and browsers
Frequently Asked Questions
How accurate is this radians to degrees converter?
Our converter uses JavaScript’s built-in Math.PI constant (approximately 15 decimal places of precision) for calculations, providing mathematically exact results for all practical purposes.
Can I convert degrees back to radians with this tool?
Absolutely! The converter works both ways. You can enter values in degrees to get radians, or use the “Swap Units” button to quickly reverse the conversion direction.
When would I need to convert between radians and degrees?
Radians are commonly used in higher mathematics, physics, and computer graphics, while degrees are more familiar in everyday applications. Conversions are frequently needed in trigonometry, angular velocity calculations, and when working with different software tools.
How do I estimate radians to degrees without a calculator?
For rough estimates: 1 radian ≈ 57.3° (the exact conversion is 180/π ≈ 57.2958°). To convert radians to degrees, multiply by approximately 57. For degrees to radians, divide by 57. For precise conversions, use our tool.
What’s the relationship between π and angle conversion?
π radians equals 180 degrees, which is the fundamental relationship between these units. This means a full circle (360°) equals 2π radians, and a right angle (90°) equals π/2 radians.