ConvertOnlineRadians to Gradians calculator
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Radians to Gradians formula
Use this formula to convert radians to gradians:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Radians to Gradians Conversion Table
Reference values for converting Radians to Gradians.
| Radians (rad) | Gradians (gon) |
|---|---|
| 0 rad | 0 gon |
| 1 rad | 63.662 gon |
| 10 rad | 636.6198 gon |
| 45 rad | 2864.789 gon |
| 90 rad | 5729.578 gon |
| 180 rad | 11459.1559 gon |
| 360 rad | 22918.3118 gon |
| 1000 rad | 63661.9772 gon |
Worked example
Convert 1.5 Radians to Gradians
Gradians = 1.5 × 200 / π = 95.493 Gradians
About these units
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
{"formula":"x * 200 / π","precision":11,"x_desc":"Radians","y_desc":"Gradians"}