Radians to Grads Converter
Convert Radians to Grads
Quick Conversions
How to Convert Radians to Grads
To convert from radians to grads, you multiply the angle in radians by 200/π. For more information about radians as a unit of measurement, visit our radians page.
Formula
Grads = Radians × (200 / π)
or
gon = rad × 63.662
Step-by-step process
- Take the angle in radians.
- Multiply it by 63.662 (or 200/π).
- The result is the equivalent angle in grads.
Examples
- 1 rad = 1 × (200 / π) = 63.662 gon
- π/2 rad = (π/2) × (200 / π) = 100 gon
- π rad = π × (200 / π) = 200 gon
- 2π rad = 2π × (200 / π) = 400 gon
When to Convert Radians to Grads
This conversion is useful when working with surveying data or in some engineering fields.
Surveying
Grads are used in some countries for surveying because the right angle is 100 gon, which can simplify calculations.
Civil Engineering
Some civil engineering fields, particularly in Europe, use grads for angular measurements.
Common Radians to Grads Conversions
Here is a table of common conversions for quick reference:
| Radians (rad) | Grads (gon) | Radians (rad) | Grads (gon) |
|---|---|---|---|
| 0.5 | 31.831 | 5 | 318.31 |
| 1 | 63.662 | 10 | 636.62 |
| 1.5708 (π/2) | 100 | 15 | 954.93 |
| 2 | 127.324 | 20 | 1273.24 |
| 3.1416 (π) | 200 | 50 | 3183.1 |
| 4 | 254.648 | 100 | 6366.2 |
Frequently Asked Questions
What is a radian?
A radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. There are 2π radians in a full circle.
What is a grad?
A grad, also known as a gon, is a unit of angle equal to 1/400 of a full circle. A right angle is 100 grads.
How do I convert grads to radians?
To convert from grads to radians, you multiply the angle in grads by π/200. For example, 100 gon is equal to 100 * (π/200) = π/2 radians.