Convert Gradians to Radians
Use our free online converter to easily convert from Gradians to Radians. Get accurate conversions instantly.
Converting Gradians to Radians
Converting gradians to radians is important in mathematical and engineering contexts, particularly when translating practical surveying measurements in gradians to the standard unit required for advanced calculations and theoretical work.
Mathematical Relationship
The mathematical relation between gradians and radians is: 200 gradians = π radians. To convert an angle in gradians to radians, multiply the gradian value by π/200.
Common Conversion Values
| Gradians | Radians |
|---|---|
| 0 | 0 |
| 50 | 0.7854 |
| 100 | 1.5708 |
| 200 | 3.1416 |
| 400 | 6.2832 |
Unit Definitions
Gradians
The gradian (symbol: gon or grad) is a unit of angle measurement defined as 1/400 of a full rotation. It was introduced as part of the metric system, with 100 gradians in a right angle, making it convenient for decimal calculations.
Radians
The radian (symbol: rad) is the SI unit of angle measurement, defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. One full rotation equals 2π radians.
Historical Context
The gradian was introduced during the French Revolution as part of the metric system's decimal approach to measurement. The radian was first recognized as a unit of measurement in the mid-18th century and was adopted as the SI unit of angle measurement in 1960.