Grad to Radian Conversion

Convert between Grad and Radian quickly and accurately.

^g
rad

How to Convert Grad to Radian

Conversion Formula

1 ^g = 0.016 rad
1 rad = 63.662 ^g

Example

Convert 15 ^g to rad:

15 ^g = 15 × 0.016 rad = 0.236 rad

Unit Information

Learn about the angle units you're converting between

Grad

^g

Definition

Grad (also called gon) is a unit of angle measurement where a full circle is divided into 400 grads instead of 360 degrees. One grad equals 0.9 degrees.

History/Origin

The grad was introduced in France during the French Revolution as part of the metric system. It was designed to provide a decimal-based angular measurement system.

Current Use

Grads are used in surveying, some engineering applications, and in countries that adopted the metric system for angular measurements.

Multiplier

0.9

Offset

0

Radian

rad

Definition

Radian is the SI unit for measuring angles, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian equals approximately 57.2958 degrees.

History/Origin

The radian was introduced by James Thomson in 1873. It became the standard unit for angular measurement in the International System of Units (SI) due to its mathematical elegance.

Current Use

Radians are used in mathematics, physics, engineering, computer graphics, and scientific calculations where precise angular measurements are required.

Multiplier

57.296

Offset

0

Grad to Radian Conversion Table

Grad [^g] Radian [rad]
1 ^g 0.015708 rad
10 ^g 0.15708 rad
25 ^g 0.392699 rad
50 ^g 0.785398 rad
100 ^g 1.570796 rad
0 ^g 0E+0 rad
-10 ^g -0.15708 rad
-40 ^g -0.628319 rad