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📏 Gradians to Radians Converter

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

Quick answer: 1 gradian (gon) = 0.015707963 radians (rad). Formula: rad = gon × 0.015707963.

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Gradians to Radians Converter inputs

Result

1 gon =

0.015707963 rad

rad = gon × 0.015707963

1 gradian = 0.015707963 rad · rad to gon

Gradians to Radians conversion table

Gradians (gon)Radians (rad)
0.1 gon0.0015707963 rad
0.5 gon0.0078539816 rad
1 gon0.015707963 rad
2 gon0.031415927 rad
3 gon0.04712389 rad
5 gon0.078539816 rad
10 gon0.15707963 rad
20 gon0.31415927 rad
25 gon0.39269908 rad
50 gon0.78539816 rad
100 gon1.5707963 rad
1,000 gon15.707963 rad

Other angle conversions

gon to °gon to radgon to ′gon to ″gon to rev

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How to convert gradians to radians

Multiply the number of gradians by 0.015707963 to get radians: rad = gon × 0.015707963.

Example: 5 gon = 0.078539816 rad.

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

1 gradian = 0.015707963 radians.

How do I convert gradians to radians?

Use the formula rad = gon × 0.015707963. For example, 5 gon = 0.078539816 rad.

How do I convert radians back to gradians?

1 radian = 63.661977 gradians. Use the rad to gon 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.