Radians to Degrees Converter
Need to convert radians to degrees fast? You're in the right place. Use the converter below to instantly get results, see conversion formulas, and check popular values – all in one place.
Want to convert degrees to radians instead? Try our degrees to radians converter.
How to Convert Radians to Degrees
To convert radians to degrees, multiply the number of radians by 180/π (about 57.2958). This is because one radian equals exactly 180/π degrees.
Formula: degrees = radians × (180 / π)
Example: 2 rad × (180 / π) ≈ 114.59°
Radians to Degrees Conversion Table
| Radians (rad) | Degrees (°) |
|---|---|
| 0.5 rad | 28.65° |
| 1 rad | 57.30° |
| π/2 rad (1.5708) | 90° |
| π rad (3.1416) | 180° |
| 2 rad | 114.59° |
| 2π rad (6.2832) | 360° |
What is a Radian?
A radian (rad) is the standard unit of angular measure used in mathematics. One radian is the angle created when the arc length equals the radius of the circle. There are 2π radians in a full circle.
What is a Degree?
A degree (°) is a unit of angle equal to 1/360 of a full circle. Degrees are commonly used in everyday applications, navigation, and geometry.
Looking to convert the other way? Try our degrees to radians converter.
Common Angle Unit Converters
FAQ
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How many degrees is 1 radian?
1 radian is approximately 57.30 degrees.
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How do you convert π radians to degrees?
π radians equals 180 degrees.
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What is the formula to convert radians to degrees?
Multiply radians by 180 and divide by π degrees = radians × (180/π).
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Why do mathematicians use radians?
Radians simplify many mathematical formulas, especially in calculus and trigonometry, because they relate directly to the properties of circles.
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Is 360 degrees equal to 2π radians?
Yes, a full circle is 360 degrees or 2π radians.