ConvertOnlineGradians to Radians calculator
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Gradians to Radians formula
Use this formula to convert gradians to radians:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Gradians to Radians Conversion Table
Reference values for converting Gradians to Radians.
| Gradians (gon) | Radians (rad) |
|---|---|
| 0 gon | 0 rad |
| 1 gon | 0.01570796327 rad |
| 10 gon | 0.1571 rad |
| 45 gon | 0.7069 rad |
| 90 gon | 1.4137 rad |
| 180 gon | 2.8274 rad |
| 360 gon | 5.6549 rad |
| 1000 gon | 15.708 rad |
Worked example
Convert 100 Gradians to Radians
Radians = 100 × π / 200 = 1.5708 Radians
About these units
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.
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.
{"formula":"x * π / 200","precision":11,"x_desc":"Gradians","y_desc":"Radians"}