Radian to Degree Converter

Convert radian (rad) to degree (°) instantly. Free, accurate, and easy to use.

Convert Radian to Degree

From

1 rad = ? °

Conversion Factor

1 rad = 57.29577951 °

Radian to Degree Conversion Table

Radian (rad)	Degree (°)
1 rad	57.29577951 °
2 rad	114.59155903 °
3 rad	171.88733854 °
5 rad	286.47889757 °
10 rad	572.95779513 °
15 rad	859.4366927 °
20 rad	1,145.91559026 °
25 rad	1,432.39448783 °
50 rad	2,864.78897565 °
75 rad	4,297.18346348 °
100 rad	5,729.57795131 °
250 rad	14,323.94487827 °
500 rad	28,647.88975654 °
1000 rad	57,295.77951308 °

Formula: Radian to Degree

° = rad × 57.29577951

To convert from radian to degree, multiply the value in radian by the conversion factor 57.29577951. The result is the equivalent value in degree.

Understanding Radian to Degree Conversion

Converting from radian (rad) to degree (°) is one of the most common angle conversions performed worldwide. The conversion factor is 1 rad = 57.29577951 °, which means that to convert any value from radian to degree, you simply multiply by 57.29577951. This relationship is fixed and exact, based on internationally agreed-upon definitions of both units. Whether you are a student solving homework problems, an engineer working on technical specifications, a scientist conducting research, or simply someone who needs a quick conversion for everyday purposes, understanding this relationship between radian and degree is valuable knowledge that applies across countless practical situations.

What is a Radian?

The radian (rad) is a unit of angle measurement. It is used in various applications across science, engineering, commerce, and daily life. Understanding the radian in context helps appreciate why conversion to other units like the degree is frequently necessary. The radian may be part of the metric (SI) system, the Imperial/US Customary system, or a specialized measurement system used in a particular industry or scientific field. Regardless of its origin, the radian has a precise mathematical relationship to all other angle units, enabling accurate and reliable conversion.

What is a Degree?

The degree (°) is another unit of angle measurement that serves its own set of applications and contexts. It may be preferred in certain countries, industries, or scientific disciplines. The relationship between the radian and the degree — specifically that 1 rad equals 57.29577951 ° — provides a bridge between different measurement traditions and allows seamless communication of angle values across different systems and contexts. Our converter makes this translation instant and error-free.

How to Convert Radian to Degree

The conversion from radian to degree follows a straightforward mathematical process. Take your value in radian, and multiply it by the conversion factor of 57.29577951. For example, to convert 5 rad to °, calculate 5 × 57.29577951. This formula works for any value — whether you are converting small decimal values or very large numbers. For the reverse conversion (degree to radian), simply divide by the same factor, or equivalently, multiply by the reciprocal. Our converter handles both directions automatically, and you can swap the units with a single click to perform the reverse calculation.

Common Applications

The conversion between radian and degree arises in numerous practical scenarios. Students encounter it in physics, chemistry, and engineering courses. Professionals use it in technical documentation, product specifications, and international communications. Travelers may need it when interpreting measurements in unfamiliar units. Online shoppers converting product dimensions or weights between systems rely on accurate conversions. Scientists publishing research must often present data in multiple unit systems for international audiences. In all these cases, having a reliable, instant converter eliminates errors and saves valuable time.

Tips for Accurate Conversion

When converting between radian and degree, keep these best practices in mind. First, always verify which specific unit variant you are working with — some unit names have multiple definitions depending on context (e.g., US vs Imperial gallons, short vs long tons). Second, consider the precision required for your application — our converter provides results to 10 significant figures, but your application may only need 2-3 decimal places. Third, for critical applications in engineering or science, always double-check conversions using a second source or method. Fourth, be aware of rounding — when converting back and forth between units, accumulated rounding errors can compound. Use the full-precision conversion factor rather than a rounded approximation for the most accurate results.