CONVERT RADIANS TO DEGREES
Accurate radians to degrees converter. Convert angle units instantly with extreme precision.
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What is a Radian (rad)?
Definition: A radian is the SI unit of angular measure. One radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle is 2π radians.
History: The concept was developed in the 18th century, though the term "radian" wasn't coined until 1873. It's based on the natural relationship between arc length and radius.
Current use: The standard unit in mathematics and physics for measuring angles. Essential in calculus, trigonometry, and physics calculations.
What is a Degree (°)?
Definition: A degree is a unit of angular measure where a full circle equals 360 degrees. One degree equals π/180 radians (approximately 0.01745329 radians).
History: Ancient Babylonians used a base-60 number system, which led to dividing circles into 360 degrees. This system has been used for thousands of years.
Current use: Used worldwide in navigation, geography, astronomy, and everyday angle measurements. Common in engineering and construction.
Radians to Degrees Conversion
| Radians | Degrees |
|---|---|
| 0.01 rad | 0.5729577951 deg |
| 0.1 rad | 5.7295779513 deg |
| 1 rad | 57.2957795131 deg |
| 2 rad | 114.5915590262 deg |
| 3 rad | 171.8873385392 deg |
| 5 rad | 286.4788975654 deg |
| 10 rad | 572.9577951308 deg |
| 20 rad | 1145.9155902616 deg |
| 50 rad | 2864.7889756541 deg |
| 100 rad | 5729.5779513082 deg |
| 1000 rad | 57295.7795130823 deg |
degrees = radians × (180/π)
degrees = radians × 57.2957795131
Example Conversion
π radians = π × (180/π) = 180°