How many radians are in one gradian?
One gradian equals pi divided by 200 radians, or about 0.01570796327 rad.
Convert Gradian (gon) to Radian (rad) instantly.
Calculation
value × 0.0157079632679
| Quick Conversion | Converted |
|---|---|
| 1 gon | 0.015708 rad |
| 5 gon | 0.07854 rad |
| 10 gon | 0.15708 rad |
| 100 gon | 1.570796 rad |
| 1,000 gon | 15.707963 rad |
A gradian is an angle unit where a right angle equals 100 gradians and a full circle equals 400 gradians.
Gradians were introduced as a centesimal angle system and remain useful in selected survey and engineering references.
Gradians are used in some surveying, civil engineering, mapping, and decimal-angle workflows.
A radian is an angle unit where the arc length equals the radius of the circle.
Radians became central in mathematics because they simplify trigonometric and circular relationships.
Radians are used in trigonometry, calculus, physics, programming, robotics, engineering, and signal analysis.
Mathematically, radian (rad) = gradian (gon) converted with the formula below.
1 gon = 0.015708 rad
1 rad = 63.661977 gon
Formula: value × 0.0157079632679
Example: 15 gon = 0.235619 rad
Precision note: Use radians = gradians x pi / 200. Keep pi precision through the calculation and round only the final value.
1 gon = 0.015708 rad
1 rad = 63.661977 gon
| Gradian [gon] | Radian [rad] |
|---|---|
| 0.01 gon | 0.000157 rad |
| 0.1 gon | 0.001571 rad |
| 1 gon | 0.015708 rad |
| 2 gon | 0.031416 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 |
One gradian equals pi divided by 200 radians, or about 0.01570796327 rad.
100 gradians equals pi divided by 2 radians.
Radians are the angle unit expected by many formulas and programming trigonometry functions.