Degrees to Gradians

Convert degrees to gradians with configurable decimal precision

Example Results

1 examples

Convert a right angle into gradians

Convert 90 degrees into gradians for surveying or engineering notation

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

Key Facts

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

Overview

Convert angles from degrees to gradians instantly with customizable decimal precision. This tool provides accurate mathematical conversions for surveying, civil engineering, and geometry calculations, outputting results in a clean JSON format.

When to Use

  • •When converting angular measurements for civil engineering projects and topographic maps.
  • •When working on surveying tasks that require angles in gradians (gon) instead of standard degrees.
  • •When you need to quickly convert degrees to gradians with specific decimal precision up to 12 places.

How It Works

  • •Enter the angle value in degrees in the input field.
  • •Adjust the decimal precision value (from 0 to 12) to control the output accuracy.
  • •The tool calculates the conversion using the formula: Gradians = Degrees * (200 / 180).
  • •View the result instantly in structured JSON format containing both the input degrees and converted gradians.

Use Cases

Converting standard 90-degree right angles to 100-gradian values for surveying documentation.
Standardizing angular datasets from degrees to gon for European geodetic systems.
Verifying academic geometry homework and trigonometric calculations.

Examples

1. Converting Right Angles for Surveying

Land Surveyor
Background
A surveyor is working with European topographic maps that use gradians (gon) instead of degrees.
Problem
Needs to convert a standard 90-degree boundary angle into gradians to match the map's coordinate system.
How to Use
Enter '90' in the Degrees field and set the decimal precision to 6.
Example Config
{
  "degrees": "90",
  "precision": 6
}
Outcome
The tool outputs a JSON result showing 100 gradians.

2. High-Precision Angle Conversion for Civil Engineering

Civil Engineer
Background
An engineer needs to convert a precise slope angle of 45.5 degrees to gradians for road alignment design.
Problem
Requires the conversion to be accurate to 8 decimal places to prevent rounding errors in construction plans.
How to Use
Input '45.5' in the Degrees field and set the decimal precision to 8.
Example Config
{
  "degrees": "45.5",
  "precision": 8
}
Outcome
The tool outputs the exact value of 50.55555556 gradians in JSON format.

Try with Samples

math-&-numbers
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Web Python image processing examples using PIL/Pillow including reading, saving, resizing, and format conversion
task convert
sample

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FAQ

What is the conversion formula from degrees to gradians?

Gradians equal degrees multiplied by 1.111111 (or 200/180).

What is a gradian?

A gradian (also known as gon or grade) is a unit of angular measurement equal to 1/400 of a turn.

Can I specify the decimal precision of the output?

Yes, you can set the decimal precision anywhere from 0 to 12 decimal places.

What is the default precision if not specified?

The default decimal precision is 6 decimal places.

Does this tool support negative degree values?

Yes, you can input negative degree values to get the corresponding negative gradian values.

API Documentation

Request Endpoint

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

Request Parameters

Parameter Name Type Required Description
degrees 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-degrees-to-gradians": {
      "name": "degrees-to-gradians",
      "description": "Convert degrees to gradians with configurable decimal precision",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=degrees-to-gradians",
      "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]