To convert radians to gradians, simply multiply the angle in radians by the conversion ratio: 63.661977 gradians/radian.
Radians to Gradians Converter
Enter the angle in radians below to get the value converted to gradians. The calculator supports values containing decimals, fractions, and π: (π/2, 1/2π, etc)
How to Convert Radians to Gradians
- Understanding Radians and Gradians:
A radian is a unit to measure angles, defined as the length of an arc divided by the radius of a circle. On the other hand, a gradian is a unit that divides a circle into 400 equal parts, making it easier to measure right angles.
- Conversion Formula:
To convert radians to gradians, you can use a simple formula:
Gradians = Radians × 63.661977
- Example Calculation:
Let’s say you have an angle of 5 radians that you want to convert to gradians. Using the formula:
Gradians = (5 rad × 63.661977) = 318.309886g
- Understanding the Conversion:
The conversion factor, 63.661977, indicates that there are approximately 63.661977 gradians in one radian. This factor is derived from the relationship between radians and gradians.
- Final Outcome:
Once you’ve performed the calculation, you’ll obtain the angle in gradians. This conversion helps you express angles in a different unit, making it easier to work with different measurement systems.
Frequently Used Radians to Gradians Conversion Table
Radians Gradians 0 0 0.1 5.729 0.2 11.459 0.3 17.188 0.4 22.918 0.5 28.648 0.6 34.377 0.7 40.107 0.8 45.837 0.9 51.566 1 57.296 1.1 63.026 1.2 68.755 1.3 74.485 1.4 80.215 1.5 85.944 1.6 91.674 1.7 97.404 1.8 103.134 1.9 108.863 2 114.593 2.1 120.323 2.2 126.052 2.3 131.782 2.4 137.512 2.5 143.241 2.6 148.971 2.7 154.701 2.8 160.430 2.9 166.160 3 171.890 3.1 177.619 3.2 183.349 3.3 189.079 3.4 194.809 3.5 200.538 3.6 206.268 3.7 211.998 3.8 217.727 3.9 223.457 4 229.187 4.1 234.916 4.2 240.646 4.3 246.376 4.4 252.106 4.5 257.835
