What is a angle converter?

A angle converter helps you convert between different units of angle quickly and accurately.

How do I convert second [] to radian [rad]?

Simply enter the value in the second [] input field, and the converter will show you the equivalent value in radian [rad] instantly.

Yes, this angle converter is completely free and easy to use for all your conversion needs.

Yes, there is a switch button provided to quickly swap the conversion direction between second [] and radian [rad].

The conversion results are calculated using precise formulas to ensure accuracy for most practical purposes.

Second ["]

The second of arc, symbolized as ", is a unit of angular measurement.

Definition:

One second is equal to 1/60th of a minute or 1/3600th of a degree.
Relation to other units:

1^\circ = 60' \quad (\text{minutes}) \quad \text{and} \quad 1' = 60'' \quad (\text{seconds})

So,

1^\circ = 3600''

Usage:
Used for very precise angular measurements in astronomy, cartography, and geodesy.
Essential for pinpointing locations in geographic coordinate systems.
Summary:

The second is the smallest common unit of angular measurement, allowing for fine precision in angles.

Radian [rad]

A radian is the standard SI unit for measuring angles based on the radius of a circle.

Definition:

One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.
Relation to degrees:

1 \text{ radian} = \frac{180}{\pi} \approx 57.2958^\circ

360^\circ = 2\pi \text{ radians}

Usage:
Commonly used in mathematics, physics, and engineering for angular measurements.
Preferred in calculus and trigonometry because it simplifies many formulas.
Summary:

The radian measures angles naturally in terms of circle geometry and is the standard unit for angles in the International System of Units (SI).