Degrees to Gradians Converter
Enter the angle in degrees below to get the value converted to gradians.
Do you want to convert gradians to degrees?
How to Convert Degrees to Gradians
To convert a measurement in degrees to a measurement in gradians, multiply the angle by the following conversion ratio: 1.111111 gradians/degree.
Since one degree is equal to 1.111111 gradians, you can use this simple formula to convert:
The angle in gradians is equal to the angle in degrees multiplied by 1.111111.
How Many Gradians Are in a Degree?
There are 1.111111 gradians in a degree, which is why we use this value in the formula above.
1° = 1.111111g
Degrees and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
What is a Degree?
A degree is a measure of angle equal to 1/360th of a revolution, or circle. The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.
The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For example, 1 degree can be written as 1° or 1 deg.
Degrees can also be expressed using arcminutes and arcseconds as an alternative to using the decimal form. Arcminutes and arcseconds are expressed using the prime (′) and double-prime (″) characters, respectively, although a single-quote and double-quote are often used for convenience.
One arcminute is equal to 1/60th of a degree, and one arcsecond is equal to 1/60th of an arcminute.
Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.
Learn more about degrees.
What is a Gradian?
A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10-2 radians.
This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.
A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.
In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.
Learn more about gradians.
Degree to Gradian Conversion Table
- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree
- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf
More Degree & Gradian Conversions
- degrees to radians
- degrees to milliradians
- degrees to minutes of arc
- degrees to seconds of arc
- degrees to revolutions
- degrees to circles
- degrees to mils
- radians to gradians
- milliradians to gradians
- minutes of arc to gradians
- seconds of arc to gradians
- revolutions to gradians
- circles to gradians
- mils to gradians