Convert Radian to Arcsecond

One rad equals 206,264.8061 ″. This converter allows you to easily convert between Radian and Arcsecond in real time.

Formula

rad × 206,264.8061 = ″

Example: 1 rad = 206,264.8061 ″

What is Radian?

The radian is the SI unit of angle, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian is approximately 57.296 degrees, and a full circle is 2 pi radians. Radians are the standard angular unit in mathematics, physics, and engineering because calculus formulas (such as the derivative of sine being cosine) require radian measure. Programming language math libraries also use radians by default.

What is Arcsecond?

The arcsecond is one-sixtieth of an arcminute, or one 3,600th of a degree. In astronomy, stellar parallax is measured in arcseconds, and one parsec (about 3.26 light-years) is defined as the distance at which a star shows a parallax of one arcsecond. In surveying, high-precision instruments achieve sub-arcsecond resolution. GPS coordinates expressed in degrees, minutes, and seconds use arcseconds for fine positional accuracy, where one arcsecond of latitude is approximately 31 meters on Earth's surface.