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How to convert gradians to radians (grad to rad)
The formula for converting gradians to radians is: rad = grad × 0.0157079633. To calculate the gradian value in radians first substitute the gradian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 gradian in radians we follow these steps:
rad = grad × 0.0157079633
rad = 1 × 0.0157079633
rad = 0.0157079633
In other words, 1 gradian is equal to 0.0157079633 radians.
Let's take a look at an example. The step-by-step process to convert 6 gradians to radians is:
- Understand the conversion formula: rad = grad × 0.0157079633
- Substitute the required value. In this case we substitute 6 for grad so the formula becomes: rad = 6 × 0.0157079633
- Calculate the result using the provided values. In our example the result is: 6 × 0.0157079633 = 0.0942477798 rad
In summary, 6 gradians is equal to 0.0942477798 radians.
Converting radians to gradians
In order to convert the other way around i.e. radians to gradians, you would use the following formula: grad = rad × 63.6619771068602. To convert radians to gradians first substitute the radian value into the above formula, and then execute the calculation. If we wanted to calculate 1 radian in gradians we follow these steps:
grad = rad × 63.6619771068602
g1 = rad × 63.6619771068602
grad = 63.6619771068602
Or in other words, 1 radian is equal to 63.6619771068602 gradians.
Conversion Unit Definitions
What is a Gradian?
What is a Radian?
Gradians To Radians Conversion Table
Below is a lookup table showing common gradians to radians conversion values.
|Gradian (grad)||Radian (rad)|
|1 grad||0.0157079633 rad|
|2 grad||0.0314159266 rad|
|3 grad||0.0471238899 rad|
|4 grad||0.0628318532 rad|
|5 grad||0.0785398165 rad|
|6 grad||0.0942477798 rad|
|7 grad||0.1099557431 rad|
|8 grad||0.1256637064 rad|
|9 grad||0.1413716697 rad|
|10 grad||0.157079633 rad|
|11 grad||0.1727875963 rad|
|12 grad||0.1884955596 rad|
|13 grad||0.2042035229 rad|
Other Common Gradian Conversions
Below is a table of common conversions from gradians to other angle units.
|1 gradian in degrees||0.9 °|