Radians to Degrees conversion calculator
Easily convert radians to degrees and vice versa with our convenient online tool. Accurately calculate angles in both units for a wide range of mathematical and scientific applications. Get instant results, ensuring precision and efficiency in your calculations.
What is Radians to Degrees conversion calculator
To convert radians to degrees, you can use the following formula:
degrees = radians * (180 / π)
Where π (pi) is approximately equal to 3.14159.
If you would like to use a calculator for this conversion, you can find numerous online tools by searching for "Radians to Degrees converter" in your preferred search engine. These calculators typically provide an input field where you can enter the value in radians, and they will instantly display the corresponding value in degrees.
Alternatively, if you prefer to calculate it manually, you can use the formula mentioned above and perform the calculation using a scientific calculator or a calculator app on your smartphone. Simply multiply the value in radians by the conversion factor (180 / π) to obtain the equivalent value in degrees.
How to convert radians to degrees
Pi radians are equal to 180 degrees:
π rad = 180°
One radian is equal 57.295779513 degrees:
1 rad = 180°/π = 57.295779513°
The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:
α(degrees) = α(radians) × 180° / π
or
degrees = radians × 180° / π
Example
Convert 2 radians angle to degrees:
α(degrees) = α(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°
Radians to degrees conversion table
| Radians (rad) | Radians (rad) | Degrees (°) |
|---|---|---|
| 0 rad | 0 rad | 0° |
| π/6 rad | 0.5235987756 rad | 30° |
| π/4 rad | 0.7853981634 rad | 45° |
| π/3 rad | 1.0471975512 rad | 60° |
| π/2 rad | 1.5707963268 rad | 90° |
| 2π/3 rad | 2.0943951024 rad | 120° |
| 3π/4 rad | 2.3561944902 rad | 135° |
| 5π/6 rad | 2.6179938780 rad | 150° |
| π rad | 3.1415926536 rad | 180° |
| 3π/2 rad | 4.7123889804 rad | 270° |
| 2π rad | 6.2831853072 rad | 360° |
