Gradians to Degrees

Convert gradians to degrees with configurable decimal precision

Example Results

1 examples

Convert gradians back into degrees

Convert 100 gradians into degrees for geometry and drafting work

{
  "result": {
    "gradians": 100,
    "degrees": 90
  }
}
View input parameters
{ "gradians": "100", "precision": 6 }

Key Facts

Category
Math, Date & Finance
Input Types
text, number
Output Type
json
Sample Coverage
1
API Ready
Yes

Overview

The Gradians to Degrees converter allows you to quickly translate angular measurements from gradians (gon) to standard degrees. With support for custom decimal precision, this tool ensures accurate conversions for surveying, civil engineering, and geometry calculations.

When to Use

  • •When working with surveying data or topographic maps that express angles in gradians (gon) and you need to convert them to degrees.
  • •When solving geometry or trigonometry problems that require switching between different angular measurement systems.
  • •When calibrating or programming navigation and drafting software that expects input in degrees instead of gradians.

How It Works

  • •Enter the angle value in gradians into the input field.
  • •Adjust the decimal precision to set your desired number of decimal places between 0 and 12.
  • •The tool calculates the equivalent angle in degrees using the formula: Degrees = Gradians * 0.9.
  • •View the output instantly in structured JSON format showing both the original gradian value and the converted degree value.

Use Cases

Converting civil engineering site plans that use the gon unit system into standard degrees.
Standardizing angular datasets for academic research and physics simulations.
Verifying manual trigonometric calculations during drafting and CAD modeling.

Examples

1. Converting Surveying Data for CAD Software

Land Surveyor
Background
A surveyor receives a topographic map from Europe where all angles are recorded in gradians (gon), but their local CAD software only accepts degrees.
Problem
Convert a critical boundary angle of 150 gradians to degrees with high precision to avoid alignment errors.
How to Use
Input '150' in the Gradians field and set the decimal precision to 6.
Example Config
Gradians: 150, Precision: 6
Outcome
The tool outputs 135 degrees, allowing the surveyor to input the correct boundary angle into the CAD software.

2. Verifying Physics Lab Calculations

Physics Student
Background
A student is analyzing optics data where diffraction angles are measured in gradians, but the formula requires degrees.
Problem
Convert 50 gradians to degrees quickly to complete a lab report.
How to Use
Input '50' in the Gradians field and leave the precision at the default value of 6.
Example Config
Gradians: 50, Precision: 6
Outcome
The tool returns 45 degrees, which the student uses to complete the physics equation.

Try with Samples

math-&-numbers
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FAQ

What is the conversion formula from gradians to degrees?

Multiply the gradian value by 0.9 to get the equivalent value in degrees.

What is a gradian?

A gradian (also known as gon) is a unit of angular measurement equal to 1/400 of a turn, meaning a right angle is exactly 100 gradians.

Can I control the rounding of the output?

Yes, you can configure the decimal precision from 0 up to 12 decimal places.

Is this tool free to use?

Yes, this conversion tool is completely free and runs entirely in your web browser.

What is the maximum precision supported?

The tool supports a maximum decimal precision of 12 decimal places.

API Documentation

Request Endpoint

POST /en/api/tools/gradians-to-degrees

Request Parameters

Parameter Name Type Required Description
gradians text Yes -
precision number No -

Response Format

{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}
JSON Data: JSON Data

AI MCP Documentation

Add this tool to your MCP server configuration: 

{
  "mcpServers": {
    "elysiatools-gradians-to-degrees": {
      "name": "gradians-to-degrees",
      "description": "Convert gradians to degrees with configurable decimal precision",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=gradians-to-degrees",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

You can chain multiple tools, e.g.: `https://elysiatools.com/mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp`, max 20 tools.

If you encounter any issues, please contact us at [email protected]