Gradian to Radian
Convert Gradian to Radian instantly. Free online angle unit converter with exact formula, conversion table and FAQ.
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Formula
radian = gradian × 0.015708
gradian = radian × 63.661977
Conversion table
| 1 gon | 0.015708 rad |
| 5 gon | 0.07854 rad |
| 10 gon | 0.15708 rad |
| 20 gon | 0.314159 rad |
| 50 gon | 0.785398 rad |
| 100 gon | 1.570796 rad |
| 500 gon | 7.853982 rad |
| 1000 gon | 15.707963 rad |
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Frequently asked questions
What is the source unit in this conversion?
The source unit is the gradian (gon). A gradian is 1/400 of a turn.
What is the destination unit in this conversion?
The destination unit is the radian (rad). The radian is the SI angle unit.
How do I convert gradian to radian?
Multiply the gradian value by 0.015708. For example, 10 gon × 0.015708 = 0.15708 rad.
Is the gradian to radian conversion exact?
Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.
Where is this conversion commonly used?
It's used whenever a value expressed in gradian needs to be compared with, or reported in, radian, such as in engineering, scientific, or everyday calculations.
Can I convert radian back to gradian?
Yes. Multiply the radian value by 63.661977 to get gradian.
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About this conversion
This page converts gradian (gon) to radian (rad) within the angle converter.
A gradian is 1/400 of a turn. The radian is the SI angle unit.
The formula is radian = gradian × 0.015708, based on each unit's fixed relationship to the angle converter's base unit.
The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.
Use the calculator above for instant results, or the table below for common gradian values already converted to radian.