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Convert Gradians to Radians

grad\text{grad}
=
rad\text{rad}

Gradian (grad)

A gradian, also known as a gon or grade, is defined as 1/400 of a full rotation. It was designed to simplify calculations in base-10 systems.

Radian (rad)

A radian is the SI unit of angular measure. One radian is the angle created when the arc length equals the radius of a circle.

Gradians to Radians Conversion Table

Gradians (grad)Radians (rad)
10.01571
20.03142
50.07854
100.15708
200.31416
500.7854
1001.5708
2503.92699
5007.85398
100015.70796

How to Convert Gradians to Radians

Conversion factor:

1 grad=0.01571 rad1\,\text{grad} = 0.01571\,\text{rad}

Inverse factor:

1 rad=63.66198 grad1\,\text{rad} = 63.66198\,\text{grad}

Example

Convert 15 grad to rad:

rad=grad×0.01571\text{rad} = \text{grad} \times 0.01571
rad=15×0.01571\text{rad} = 15 \times 0.01571
rad=0.23562\text{rad} = 0.23562
=0.23562 rad= 0.23562 \, \text{rad}

All conversions from Gradians (grad)