Degrees to Gradians Calculator
Enter degrees to find gradians. gon = ° × 1.11111111111.
How the result changes
Only degrees changes; all other inputs stay at your current values. The line illustrates the formula across the shown range. This is not a forecast of real-world outcomes.
About this calculation
Convert degrees (°) to gradians (gon) while preserving the underlying angle quantity. The calculator updates when the input changes and shows the conversion rule and a worked example.
Formula
gon = ° × 1.11111111111
Worked example
With Degrees: 1 °, gradians is 1.111111 gon.
How to convert degrees to gradians
Enter a value in degrees. Multiply it by the factor in the displayed formula to express the same quantity in gradians. To reverse the relationship, divide by the same nonzero factor.
gon = ° × 1.11111111111. As a reference point, 10 ° equals 11.111111 gon with this conversion. This is an example, not a recommended level or target.
What the unit relationship means
Degrees and gradians represent the same amount of rotation or direction change. The numerical value depends on how a full turn is divided: degrees split it into 360 parts, radians relate arc length to radius, and gradians split it into 400 parts. A converted angle can be used in a formula only if that formula expects the target unit. The conversion changes notation, not the ray, bearing, or geometric shape.
Check the direction of the result
As a scale check, one ° corresponds to 1.111111 gon. Doubling the input from 10 ° to 20 ° changes the calculated output from 11.111111 gon to 22.222222 gon. Ordinary factor conversions are proportional: zero maps to zero and doubling the input doubles the result. If a copied value does not follow this pattern, check the source unit, decimal point, and formula direction.
When this conversion is useful
Compare degrees and gradians in surveying or technical drawings. A right angle is 90 degrees or 100 gradians.
What to check
A gradian (gon) is one hundredth of a right angle. It is different from a degree, which is one ninetieth of a right angle. In this direction the entered degrees is reported as gradians; check both unit symbols when copying a figure from another source, because the reverse direction answers a different question.
Precision and reporting
Keep the angle symbol or unit in the final result. A small angular rounding difference can matter when the value is later used in surveying, navigation, or a trigonometric function. For an approximate source angle, round only after converting and using any necessary intermediate calculations. If the value represents a bearing, check its reference direction and clockwise convention too; changing degrees to another unit does not change how the direction itself is defined. For a separate reporting example, 7.3 ° produces 8.111111 gon. If 7.3 ° was an approximate reading, the converted digits should not be treated as a more accurate measurement.
Common questions
What is the reverse of degrees to gradians?
To return from gon to °, divide by the nonzero factor shown in this calculator's formula.
Inputs
- Degrees (°)