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Degrees To Gradians Calculator

Work out degrees to gradians instantly with clear inputs, formula shown and shareable results.

About Degrees To Gradians Calculator

The gradian divides a right angle into 100 parts, so a full circle is 400 gradians against 360 degrees. The conversion is therefore a multiplication by 400/360 = 10/9.

Formula

Degrees to gradians

gradians = degrees × 10 / 9

Worked example

With the default values below, Degrees To Gradians Calculator returns Gradians (gon) of 50.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Angle in degrees
45 °
Multiply the angle by
1

Results

Gradians (gon)
50.00000000
Degrees
45.000000 °
Radians
0.78539816
Full turns
0.12500000

Step by step

  1. 1Values used
  2. 2Degrees to gradians
  3. 3Gradians (gon)= 50.00000000
  4. 4Degrees= 45.000000 °
  5. 5Radians= 0.78539816
  6. 6Full turns= 0.12500000

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 45° in gradians?

45 × 10/9 = 50 gon, exactly half a right angle.

Who uses gradians?

Mainly surveyors and some European civil engineering practice, because a right angle being 100 gon simplifies slope arithmetic.

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