Convert Degrees to Gradians
Convert Degrees to Gradians instantly. 1 Degree (°) equals 1.1111 Gradians (grad).
Degrees to Gradians conversion table
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 ° | 1.1111 grad |
| 2 ° | 2.2222 grad |
| 3 ° | 3.3333 grad |
| 5 ° | 5.5556 grad |
| 10 ° | 11.1111 grad |
| 20 ° | 22.2222 grad |
| 50 ° | 55.5556 grad |
| 100 ° | 111.1111 grad |
| 500 ° | 555.5556 grad |
| 1,000 ° | 1,111.11 grad |
1 Degree = 1.1111 Gradians · multiply Degrees by 1.1111
About converting Degrees to Gradians
Degrees (°) and Gradians (grad) are both units of angle, so converting between them is a single multiplication: multiply your Degrees figure by 1.1111. Ten Degrees comes to 11.1111 Gradians, and a hundred works out at 111.1111 Gradians.
Rule of thumb: going from Degrees to Gradians multiplies, so the figure always grows — one Degree is already 1.1111 Gradians. If your answer came out smaller, you have the conversion the wrong way round.
What is a Degree?
The degree is the everyday unit of angle, and its division of the circle into 360 parts comes from Babylonian astronomy and the base-60 arithmetic that came with it. The number survived because it is unreasonably convenient: 360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10 and 12, so halves, thirds, quarters, fifths and sixths of a circle are all whole numbers of degrees. Nothing about it is natural or mathematically necessary — it is a human choice that stuck for thousands of years because the arithmetic is painless. Like the hectare, it is not an SI unit but is accepted for use with SI.
What is a Gradian?
The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.
To put both in perspective: a right angle is 90 degrees, while a right angle is 100 gradians.
The converter above updates as you type, and the table lists common values for quick reference. Need the opposite direction? Use the Gradians to Degrees converter, or browse all Angle converters.
Frequently asked questions
How many Gradians are in one Degree?
There are 1.1111 Gradians in one Degree.
How do I convert Degrees to Gradians?
Multiply the number of Degrees by 1.1111. For example, 10 Degrees = 11.1111 Gradians.
What is 100 Degrees in Gradians?
100 Degrees is equal to 111.1111 Gradians.
How do I convert Gradians to Degrees?
Multiply the Gradians value by 0.9 (or divide by 1.1111).
Is this Degrees to Gradians conversion exact?
The definition is exact — Degrees and Gradians are both fixed against the same base by international agreement — but the decimal shown here is rounded for readability, because the true ratio does not terminate. For engineering or scientific work, carry more decimal places than this page displays.
What is a Degree?
The degree is the everyday unit of angle, and its division of the circle into 360 parts comes from Babylonian astronomy and the base-60 arithmetic that came with it. The number survived because it is unreasonably convenient: 360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10 and 12, so halves, thirds, quarters, fifths and sixths of a circle are all whole numbers of degrees. Nothing about it is natural or mathematically necessary — it is a human choice that stuck for thousands of years because the arithmetic is painless. Like the hectare, it is not an SI unit but is accepted for use with SI.
What is a Gradian?
The gradian — also called the gon or the grade — divides a right angle into 100 parts rather than 90. It came out of the French metrication era, an attempt to give angle the same decimal treatment that length and mass had received, and it is the one that never took. The idea is not silly: a quarter turn of 100 makes percentage-style reasoning about slope and bearing automatic. But the degree was already thousands of years entrenched and the radian had the mathematics, so the gradian was squeezed out from both sides. It survives in some European surveying, and as the third mode on scientific calculators that nobody selects deliberately.