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📏 Radians to Gradians Converter

Convert radians (rad) to gradians (gon) instantly, with the formula, a worked example and a conversion table.

Quick answer: 1 radian (rad) = 63.661977 gradians (gon). Formula: gon = rad × 63.661977.

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Radians to Gradians Converter inputs

Result

1 rad =

63.661977 gon

gon = rad × 63.661977

1 radian = 63.661977 gon · gon to rad

Radians to Gradians conversion table

Radians (rad)Gradians (gon)
0.1 rad6.3661977 gon
0.5 rad31.830989 gon
1 rad63.661977 gon
2 rad127.32395 gon
3 rad190.98593 gon
5 rad318.30989 gon
10 rad636.61977 gon
20 rad1,273.2395 gon
25 rad1,591.5494 gon
50 rad3,183.0989 gon
100 rad6,366.1977 gon
1,000 rad63,661.977 gon

Other angle conversions

rad to °rad to gonrad to ′rad to ″rad to rev

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How to convert radians to gradians

Multiply the number of radians by 63.661977 to get gradians: gon = rad × 63.661977.

Example: 5 rad = 318.30989 gon.

The radian (rad) and the gradian (gon) are both units of angle. Need the opposite direction? Use the gon to rad converter.

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Metric and imperial units

The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.

Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.

This converter covers 18 categories and 106 units: length, weight, temperature, volume, area, speed, time, data, energy, pressure, power, angle, force, torque, frequency, flow rate, illuminance, density.

Frequently asked questions

How many gradians are in a radian?

1 radian = 63.661977 gradians.

How do I convert radians to gradians?

Use the formula gon = rad × 63.661977. For example, 5 rad = 318.30989 gon.

How do I convert gradians back to radians?

1 gradian = 0.015707963 radians. Use the gon to rad converter linked on this page.

Are these conversions exact?

Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.