Convert radians to gradians
Type the number of radians that you wish to convert to gradians.
How to Convert Radians to Gradians
The radian and gradian are both units of angle. 1 radian equals 63.661977237 gradians. This means to convert radians to gradians, you multiply by 63.661977237.
Formula
Step-by-Step Example
Convert 5 rad to gradians:
We need to convert radians to gradians
Since 1 rad = 63.661977237 grad, multiply by 63.661977237
5 × 63.661977237 = 318.30988618
5 rad = 318.30988618 grad
Radian to Gradian Conversion Table
Quick reference table for common radian to gradian conversions. Click any value for detailed calculation.
| Radians (rad) | Gradians (grad) |
|---|---|
| 1 rad | 63.661977237 grad |
| 2 rad | 127.32395447 grad |
| 5 rad | 318.30988618 grad |
| 10 rad | 636.61977237 grad |
| 15 rad | 954.92965855 grad |
| 20 rad | 1273.2395447 grad |
| 25 rad | 1591.5494309 grad |
| 50 rad | 3183.0988618 grad |
| 100 rad | 6366.1977237 grad |
About These Units
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Gradian (grad)
A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.
Frequently Asked Questions
How do I convert radians to gradians?
To convert radians to gradians, multiply the value by 63.661977237. For example, 10 rad = 636.61977237 grad.
How many gradians are in 1 radian?
1 radian equals 63.661977237 gradians.
What is the formula for radians to gradians?
The formula is: grad = rad × 63.661977237.