ConvertOnlineRadians to Degrees calculator
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Radians to Degrees formula
Use this formula to convert radians to degrees:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Radians to Degrees Conversion Table
Reference values for converting Radians to Degrees.
| Radians (rad) | Degrees (°) |
|---|---|
| 0 rad | 0 ° |
| 1 rad | 57.2958 ° |
| 10 rad | 572.9578 ° |
| 45 rad | 2578.3101 ° |
| 90 rad | 5156.6202 ° |
| 180 rad | 10313.2403 ° |
| 360 rad | 20626.4806 ° |
| 1000 rad | 57295.7795 ° |
Worked example
Convert 1.5 Radians to Degrees
Degrees = 1.5 × 180 / π = 85.9437 Degrees
About these units
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
Frequently asked questions
What is the difference between radians and degrees?
What is the SI unit of angular measure?
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