Radian To Second Of Arc (Rad To ?) Converter

The Radian To Second Of Arc (Rad To ?) Converter is a simple tool designed to help you convert angles measured in radians into seconds of arc. Radians and seconds of arc are both units used to measure angles, but they are used in different contexts and have different sizes.

A radian is a unit of angular measurement based on the radius of a circle. One radian is defined as the angle created when the arc length is equal to the radius of the circle. In mathematical terms, 1 radian equals approximately 57.2958 degrees.

Seconds of arc, often written as ?, are smaller units used to measure very precise angles, especially in fields like astronomy and surveying. One degree is divided into 60 minutes of arc (?), and each minute is divided into 60 seconds of arc (?). Therefore, 1 degree equals 3,600 seconds of arc.

The conversion formula from radians to seconds of arc is based on the relationship between radians and degrees, and then degrees to seconds of arc. The formula is:

Seconds of Arc (?) = Radians × (180 / ?) × 3600

Here, ? (pi) is approximately 3.14159. By multiplying the number of radians by this factor, you convert radians to degrees, and then multiplying by 3600 converts degrees to seconds of arc. This tool automates this calculation, making it easy for you to switch between these units quickly and accurately.