Degree to Grad Conversion

Convert between Degree and Grad quickly and accurately.

°
^g

How to Convert Degree to Grad

Conversion Formula

1 ° = 1.111 ^g
1 ^g = 0.9 °

Example

Convert 15 ° to ^g:

15 ° = 15 × 1.111 ^g = 16.667 ^g

Unit Information

Learn about the angle units you're converting between

Degree

°

Definition

Degree is a unit of measurement for angles, equal to 1/360 of a full rotation. It is the most commonly used unit for measuring angles in everyday applications, mathematics, and engineering.

History/Origin

The degree was first used by ancient Babylonian astronomers around 2000 BCE. They divided a circle into 360 parts, likely because 360 has many divisors and is close to the number of days in a year.

Current Use

Degrees are used in navigation, construction, astronomy, mathematics, engineering, surveying, and many other fields where angle measurement is required.

Multiplier

1

Offset

0

Grad

^g

Definition

Grad (also called gon) is a unit of angle measurement where a full circle is divided into 400 grads instead of 360 degrees. One grad equals 0.9 degrees.

History/Origin

The grad was introduced in France during the French Revolution as part of the metric system. It was designed to provide a decimal-based angular measurement system.

Current Use

Grads are used in surveying, some engineering applications, and in countries that adopted the metric system for angular measurements.

Multiplier

0.9

Offset

0

Degree to Grad Conversion Table

Degree [°] Grad [^g]
1 ° 1.111111 ^g
10 ° 11.111111 ^g
25 ° 27.777778 ^g
50 ° 55.555556 ^g
100 ° 111.111111 ^g
0 ° 0E+0 ^g
-10 ° -11.111111 ^g
-40 ° -44.444444 ^g