Convert Gradians to Degrees
Convert Gradians to Degrees instantly. 1 Gradian (grad) equals 0.9 Degrees (°).
Gradians to Degrees conversion table
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 20 grad | 18 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 500 grad | 450 ° |
| 1,000 grad | 900 ° |
1 Gradian = 0.9 Degrees · multiply Gradians by 0.9
About converting Gradians to Degrees
Gradians (grad) and Degrees (°) are both units of angle, so converting between them is a single multiplication: multiply your Gradians figure by 0.9. Ten Gradians comes to 9 Degrees, and a hundred works out at 90 Degrees.
Rule of thumb: going from Gradians to Degrees divides, so the figure always shrinks — it takes about 1.1111 Gradians to make a single Degree. If your answer came out bigger, you have the conversion the wrong way round.
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.
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.
To put both in perspective: a right angle is 100 gradians, while a right angle is 90 degrees.
The converter above updates as you type, and the table lists common values for quick reference. Need the opposite direction? Use the Degrees to Gradians converter, or browse all Angle converters.
Frequently asked questions
How many Degrees are in one Gradian?
There are 0.9 Degrees in one Gradian.
How do I convert Gradians to Degrees?
Multiply the number of Gradians by 0.9. For example, 10 Gradians = 9 Degrees.
What is 100 Gradians in Degrees?
100 Gradians is equal to 90 Degrees.
How do I convert Degrees to Gradians?
Multiply the Degrees value by 1.1111 (or divide by 0.9).
Is this Gradians to Degrees conversion exact?
Yes, exactly. Both units are fixed against the same base by definition, and 1 Gradian = 0.9 Degrees is the complete value — nothing is rounded away.
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.
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.