degrees to gradians | Exact Decimal + Formula

1 Degree = 1.111111 Gradian

Degrees to gradians appears in surveying and some European engineering where right angles are divided into 100 grads.

About Degree and Gradian

Degree (°)

A degree is 1/360 of a full rotation.

Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.

Gradian (grad)

A gradian divides a right angle into 100 grads, so a full circle is 400 grads.

Where it's used: Surveying and some European engineering fields.

Angle Converter

From

Tab Switch fieldsS SwapC Copy

Precision

Formula

grad = ° × 1.111111111

To convert Degree to Gradian, use the formula displayed above.

Pinned Favorites

No pinned converters yet. Click the star button to pin common pairs.

Recent History

Conversions you copy will be recorded here.

Degree to Gradian: Quick Reference Table

Degree	Gradian (Decimal)	Fraction	Real-world equivalent
0.001 °	0.001111 grad	-	fractional unit measurement
0.01 °	0.011111 grad	-	fractional unit measurement
0.1 °	0.111111 grad	-	fractional unit measurement
0.5 °	0.555556 grad	-	fractional unit measurement
1 °	1.111111 grad	-	standard single unit scale
2 °	2.222222 grad	-	standard single unit scale
5 °	5.555556 grad	-	standard single unit scale
10 °	11.111111 grad	-	multiple unit increments
25 °	27.777778 grad	-	multiple unit increments
50 °	55.555556 grad	-	multiple unit increments
100 °	111.111111 grad	-	multiple unit increments
250 °	277.777778 grad	-	multiple unit increments
500 °	555.555556 grad	-	multiple unit increments
1000 °	1111.111111 grad	-	multiple unit increments

° to grad Formula and Examples

Direct Formula grad = ° × 1.111111111

Inverse Formula ° = grad × 0.9

Mental Math Shortcut

Multiply the value by roughly 1.1 to calculate the equivalent amount in your head.

Common Degree to Gradian Calculations

5 ° = 5.555556 grad
10 ° = 11.111111 grad
50 ° = 55.555556 grad
100 ° = 111.111111 grad
500 ° = 555.555556 grad

Precision & Practical Use

For example, 10 ° = 11.111111 grad — roughly multiple unit increments.

Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.

How to Convert Degree to Gradian

How many gradians are in one degree?

One Degree (°) equals 1.111111 Gradian (grad). To convert degrees to gradians, multiply the degree value by 1.111111.

How do I convert Degree to Gradian?

Multiply your degree value by 1.111111 to get the result in Gradian: grad = ° × 1.111111. For example, 5 ° = 5.555556 grad.

What is the formula for converting ° to grad?

The conversion formula is grad = ° × 1.111111. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.

Is there a quick mental estimate for ° to grad?