Convert Radians to Degrees
Please enter the angle in radians below to convert it into degrees.
Would you like to convert degrees to radians?
How to Convert Radians to Degrees
To convert a measurement in radians to degrees, simply multiply the angle by the conversion ratio.
The relationship between radians and degrees is: one degree is equal to π/180 radians. Therefore, we can use the following formula to convert between these units of measurement:
degrees = radians × (180 ÷ π)
For example, to convert 1.5 radians to degrees using this method, you would write:
degrees = 1.5 × (180 ÷ π)
degrees = 85.94366927
degrees = 85.94366927
Therefore, 1.5 radians is equivalent to 85.94366927 degrees.
Radians to Degrees Conversion Table
| Radians (multiple of π) | Radians (decimal) | Degrees |
|---|---|---|
| 0 rad | 0 rad | 0° |
| π/12 rad | 0.26179939 rad | 15° |
| π/6 rad | 0.52359878 rad | 30° |
| π/4 rad | 0.78539816 rad | 45° |
| π/3 rad | 1.04719755 rad | 60° |
| π/2 rad | 1.57079633 rad | 90° |
| 2π/3 rad | 2.0943951 rad | 120° |
| 5π/6 rad | 2.61799388 rad | 150° |
| 11π/12 rad | 2.87979327 rad | 165° |
| π rad | 3.14159265 rad | 180° |
| 5π/4 rad | 3.92699082 rad | 225° |
| 3π/2 rad | 4.71238898 rad | 270° |
| 7π/4 rad | 5.49778714 rad | 315° |
| 2π rad | 6.28318531 rad | 360° |