gradians to degrees | Exact Decimal + Formula

1 Gradian = 0.9 Degree

One degree equals about 1.11 gradians (exactly 1.111111111 grad). Real-world use: surveying and some european engineering fields. This page expresses those values in degrees, which is used for geometry, navigation, roof pitches, and everyday angle measurement. Enter any value above — the result updates instantly, and a 1–1000 reference table follows below.

About Gradian and Degree

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.

Degree (°)

A degree is 1/360 of a full rotation.

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

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Precision

Formula

° = grad × 0.9

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

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Gradian to Degree: Quick Reference Table

Gradian	Degree (Decimal)	Fraction	Real-world equivalent
0.001 grad	0.0009 °	-	fractional unit measurement
0.01 grad	0.009 °	-	fractional unit measurement
0.1 grad	0.09 °	-	fractional unit measurement
0.5 grad	0.45 °	-	fractional unit measurement
1 grad	0.9 °	-	fractional unit measurement
2 grad	1.8 °	-	standard single unit scale
5 grad	4.5 °	-	standard single unit scale
10 grad	9 °	-	standard single unit scale
25 grad	22.5 °	-	multiple unit increments
50 grad	45 °	-	multiple unit increments
100 grad	90 °	-	multiple unit increments
250 grad	225 °	-	multiple unit increments
500 grad	450 °	-	multiple unit increments
1000 grad	900 °	-	multiple unit increments

grad to ° Formula and Examples

Direct Formula ° = grad × 0.9

Inverse Formula grad = ° × 1.111111

Mental Math Shortcut

Divide the value by roughly 1.1 to quickly estimate the converted result.

Common Gradian to Degree Calculations

5 grad = 4.5 °
10 grad = 9 °
50 grad = 45 °
100 grad = 90 °
500 grad = 450 °

Precision & Practical Use

For example, 10 grad = 9 ° — roughly standard single unit scale.

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 Gradian to Degree

How many degrees are in one gradian?

One Gradian (grad) equals 0.9 Degree (°). To convert gradians to degrees, multiply the gradian value by 0.9.

How do I convert Gradian to Degree?

Multiply your gradian value by 0.9 to get the result in Degree: ° = grad × 0.9. For example, 5 grad = 4.5 °.

What is the formula for converting grad to °?

The conversion formula is ° = grad × 0.9. 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 grad to °?