Convert Degrees to Gradians

Please provide values below to convert Degrees [deg] to Gradians [grads].

Degrees
deg
Gradians
0.00grads

How to Convert Degrees to Gradians

1 deg = 1.111111111111111 grads

1 grads = 0.9 deg

Example: convert 10 deg to grads: 10 deg = 10 × 1.111111111111111 deg = 11.111111111111109 deg

Degrees

Definition: A degree (°) is a unit of angular measurement, with a full rotation equaling 360 degrees. Since one complete turn corresponds to 2π radians, a single degree is equal to π/180 radians. While not an SI (International System of Units) unit, the degree is officially recognized in the SI brochure.

History: The exact origin of the degree as a unit of rotation and angles remains uncertain. One theory suggests that 360 was chosen for its high divisibility, featuring 24 divisors and being divisible by every number from 1 to 10, except 7. This makes 360 a highly practical choice for measuring angles.

Gradians

Definition: A gradian (or gon) is a unit of angular measurement where a right angle is divided into 100 gradians, making a full rotation equal to 400 gradians.

History: The gradian system was developed in the late 18th century during the French Revolution as part of the metric system. It was designed to simplify calculations by aligning with decimal-based measurements, though it remains less commonly used today compared to degrees and radians.

Degrees to Gradians Conversion Table

DegreesGradians
0.01 deg0.01111111111111111 grads
0.1 deg0.1111111111111111 grads
1 deg1.111111111111111 grads
2 deg2.222222222222222 grads
3 deg3.333333333333333 grads
5 deg5.5555555555555545 grads
10 deg11.111111111111109 grads
20 deg22.222222222222218 grads
50 deg55.55555555555555 grads
100 deg111.1111111111111 grads
1000 deg1111.1111111111109 grads