Radians (rad) to Gradians (gon) Conversion

Radians

The radian (rad) is the SI derived unit of plane angle, defined as the angle subtended at the centre of a circle by an arc whose length equals the radius. One full rotation equals exactly 2π radians (≈ 6.2832 rad), and one radian equals approximately 57.2958°. The radian is preferred in mathematics and physics because it makes the derivatives of trigonometric functions algebraically clean — d/dx(sin x) = cos x only when x is in radians. Rotational speed (rad/s) and angular frequency in oscillatory systems are always expressed in radians.

Gradians

The gradian (gon), also written grad, is a unit of angle that divides a full circle into exactly 400 equal parts, making a right angle exactly 100 gradians. Introduced during the French Revolution as part of the metric system reforms of the 1790s, the gradian was intended to decimalise angular measurement the way the metre decimalised length. It is still used in land surveying, civil engineering, and military mapping in parts of continental Europe — particularly France, the Netherlands, and Sweden — where its decimal relationship with right angles simplifies triangulation calculations.

Convert Radians (rad) to other units of Angle