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Radians to Gradians Converter

Convert radians to gradians and gradians to radians instantly. Bidirectional angle converter with formula and common values.

rad

Gradians

100.0003

grad

1.5708 rad = 100.0003 grad

grad = rad × 63.662

How to Convert Radians to Gradians

To convert radians to gradians, multiply by 200/π (approximately 63.662). This maps the radian measure onto the 400-gradian circle.

Conversion Formula

  • Radians to Gradians: grad = rad × (200/π)
  • Gradians to Radians: rad = grad × (π/200)

Common Conversions

RadiansGradians
0.531.831
163.662
1.5708 (π/2)100
3.1416 (π)200
4.7124 (3π/2)300
6.2832 (2π)400

Related

FAQ

How many gradians are in one radian?

One radian equals approximately 63.662 gradians.

What is a gradian?

A gradian (also called gon or grade) divides a right angle into 100 equal parts. A full circle is 400 gradians.

How do I convert radians to gradians?

Multiply the radian value by 200/π (approximately 63.662). For example, π/2 rad = 100 grad.

Where are gradians used?

Gradians are used in surveying, civil engineering, and some European countries for land measurement and geodesy.