Convert Arcsecond to Radian

One ″ equals 0.000004848136815 rad. This converter allows you to easily convert between Arcsecond and Radian in real time.

Formula

″ × 0.000004848136815 = rad

Example: 1 ″ = 0.000004848136815 rad

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.

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.