Convert grad to radian
grad
Definition: Grad is a measure of plane angle or rotation. For conversion purposes, its value is 0.9 times the reference unit, degree.
radian
Definition: A radian (symbol: rad) is the standard unit of angular measure. It is a derived unit (meaning that it is a unit that is derived from one of the seven SI base units) in the International System of Units. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. One radian is equal to 180/π (~57.296) degrees.
History/origin: Measuring angles in terms of arc length has been used by mathematicians since as early as the year 1400. The concept of the radian specifically however, is credited to Roger Cotes who described the measure in 1714. Although he described the unit, Cotes did not name the radian, and it was not until 1873 that the term "radian" first appeared in print.
Current use: The radian is widely used throughout mathematics as well as in many branches of physics that involve angular measurements. Although the symbol "rad" is the accepted SI symbol, in practice, radians are often written without the symbol since a radian is a ratio of two lengths and is therefore, a dimensionless quantity. As such, when angle measures are written, the lack of a symbol implies that the measurement is in radians, while a ° symbol would be added if the measurement were in degrees.
grad to radian Conversion Table
| grad [^g] | radian [rad] |
|---|---|
| 0.01 grad | 0.000157 radian |
| 0.10 grad | 0.001571 radian |
| 1 grad | 0.0157 radian |
| 2 grad | 0.0314 radian |
| 3 grad | 0.0471 radian |
| 5 grad | 0.0785 radian |
| 10 grad | 0.1571 radian |
| 20 grad | 0.3142 radian |
| 50 grad | 0.7854 radian |
| 100 grad | 1.57 radian |
| 1000 grad | 15.71 radian |
How to Convert grad to radian
1 grad = 0.015708 radian
1 radian = 63.66 grad
Example
Convert 15 grad to radian:
15 grad = 15 × 0.015708 radian = 0.235619 radian
