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Degrees to Gradians Converter

Convert degrees to gradians and gradians to degrees instantly. Bidirectional angle converter with formula and common values.

Degrees to Gradians: 1 ° equals 1.11111 grad. To convert degrees to gradians, multiply by 1.11111 (grad = ° × 1.11111). For example, 10 ° = 11.1111 grad.

90 ° = 100 grad

grad = ° × 1.11111

How to Convert Degrees to Gradians

To convert from degrees to gradians, multiply the value by 1.11111. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Degrees to Gradians: grad = ° × 1.11111
  • Gradians to Degrees: ° = grad ÷ 1.11111
Degrees to Gradians conversion scale — a dual ruler showing 1 ° equals 1.1111 grad.
Degrees to Gradians conversion scale (° to grad).

Degrees to Gradians Conversion Chart

Degrees (°)Gradians (grad)
0.10.111111
0.250.277778
0.50.555555
11.11111
22.22222
33.33333
55.55555
1011.1111
2022.2222
2527.77775
5055.5555
100111.111
250277.7775
10001111.11

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FAQ

What is a gradian?

A gradian (also called a gon or grade) divides a right angle into 100 equal parts. A full circle contains 400 gradians, compared to 360 degrees.

How do I convert degrees to gradians?

Multiply the angle in degrees by 1.11111 (or more precisely, 10/9). For example, 45 degrees × 1.11111 = 50 gradians.

Who uses gradians?

Gradians are primarily used in surveying, land measurement, and some European engineering contexts. They make right angles equal to a clean 100 gradians.

How many gradians are in a full circle?

A full circle contains exactly 400 gradians, compared to 360 degrees or 2pi radians.

How many gradians are in 1 degre?

1 ° equals 1.11111 grad.

How do you convert degrees to gradians?

Multiply the degre value by 1.11111. Formula: grad = ° × 1.11111.

How many gradians are in 5 degrees?

5 ° = 5.55555 grad.

How do you convert gradians back to degrees?

Use the inverse formula: ° = grad ÷ 1.11111. For example, 1 grad = 0.900001 °.