Convert Gradians to Radians
Enter the angle in gradians below to get the value converted to radians.
How to Convert Gradians to Radians
To convert a gradian measurement to a radian measurement, multiply the angle by the conversion ratio. One gradian is equal to 0.015708 radians, so use this simple formula to convert:
The angle in radians is equal to the gradians multiplied by 0.015708.
Gradians and radians are both units used to measure angle. Keep reading to learn more about each unit of measure.
A gradian is equal to 1/400 of a revolution or circle, or 9/10°. 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.
A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.
The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.
Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.
Gradian Measurements and Equivalent Radian Conversions
More Gradian Angle Conversions
- Convert to Milliradians
- 1g is equal to 15.707963 milliradians
- Convert to Degrees
- 1g is equal to 0.9 degrees
- Convert to Minutes Of Arc
- 1g is equal to 54 minutes of arc
- Convert to Seconds Of Arc
- 1g is equal to 3,240 seconds of arc
- Convert to Revolutions
- 1g is equal to 0.0025 revolutions
- Convert to Circles
- 1g is equal to 0.0025 circles
- Convert to Mils (NATO)
- 1g is equal to 16 mils (NATO)
Unit of Measurement Conversion Made Easy!
There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!
Understanding the Metric System
The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.
Here is a list of some of the common metric prefixes:
- “kilo” – 1,000x larger
- “hecto” – 100x larger
- “deca” – 10x larger
- “deci” – 10x smaller
- “centi” – 100x smaller
- “milli” – 1,000x smaller
There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.