Online Angle Units Converter
How to Convert from Grad [^g] to Radian [rad]

How to Convert from Grad [^g] to Radian [rad]

Learn how to convert angle measurements from grad (also known as gradian or gon) to radian, the SI derived unit commonly used in mathematics, physics, and engineering applications.

Please check your input. It must be a valid numeric value.

Grad [^g] to Radian [rad] Conversion Table

Grad [^g] Radian [rad]

Custom Unit Conversion Table Generator – Instant Printable Conversion Tables

Enter the starting number (positive decimal or integer ≥ 0). Example: 0.1, 1, 5.
Enter the ending number (positive decimal or integer > Start Value). Example: 10, 50, 100.
Enter the step size (positive decimal > 0 and < End Value – Start Value). Example: 1.0, 2.5.
Grad [^g] to Radian [rad] Conversion Table
Grad [^g] Radian [rad]

What Is This Tool?

This unit converter allows you to change angle measurements from grad, a decimal subdivision of a circle often used in surveying and civil engineering, to radians, which are standard units in mathematical and physical calculations. The tool simplifies the process of converting these units for various technical and scientific needs.

How to Use This Tool?

  • Enter the angle value in grad (gon)
  • Select grad as the input unit and radian as the output unit
  • Click the convert button to get the angle value in radians
  • Use the result to support mathematical analysis, engineering tasks, or scientific calculations

Key Features

  • Converts angle values from grad (gon) to radian instantly
  • Provides decimal-based conversion compatible with engineering and surveying
  • Uses the official unit definitions widely recognized in mathematics and geodesy
  • Supports applications in land surveying, civil engineering, and physics
  • Browser-based and easy to use with no installation required

Examples

  • 100 Grad [^g] equals approximately 1.57079633 Radian [rad]
  • 50 Grad [^g] equals approximately 0.785398165 Radian [rad]

Common Use Cases

  • Translating land surveying and topographic mapping angles to SI units
  • Converting civil engineering measurements for calculations and road design
  • Calibrating geodetic instruments measuring angular displacement
  • Applying radians in mathematical functions and physics analyses
  • Using angular velocity or phase angle values in signal processing

Tips & Best Practices

  • Always double-check the input value to ensure correct conversion results
  • Use radians for mathematical and physical computations when possible
  • Be mindful of potential rounding effects when converting between units
  • Apply the conversion tool to simplify complex decimal angle measurements
  • Understand the context of your measurements to choose the appropriate unit

Limitations

  • Grad is less commonly used globally, which can require conversion to radians
  • Possible precision loss if rounding is not managed carefully during conversion
  • Some systems or standards may support only radians, limiting direct grad usage

Frequently Asked Questions

What is a grad unit?
A grad, also known as gradian or gon, is an angular measurement unit equal to 1/400 of a full circle, often used in surveying and civil engineering.

Why convert grad to radian?
Conversion to radians is useful because radians are the SI standard unit for angles in mathematical functions, physics, and many engineering applications.

Is the conversion exact?
The tool uses the defined conversion rate of 1 grad equals approximately 0.0157079633 radians, adhering to official unit definitions.

Key Terminology

Grad [^g]
An angular unit that divides a circle into 400 parts, commonly used in surveying and decimal-based angle measurement.
Radian [rad]
The SI derived unit of plane angle, defined by the angle created by an arc with the same length as the radius of a circle.

Quick Knowledge Check

What fraction of a full circle does one grad represent?
Which unit is defined as the angle subtended by an arc equal to the radius?
In which application is converting grad to radian especially important?