What is a angle converter?

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

How do I convert degree [°] to radian [rad]?

Simply enter the value in the degree [°] 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 degree [°] and radian [rad].

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

Degree [°]

A degree is a unit of angular measurement used to describe the size of an angle.

1^\circ = \frac{\pi}{180} \text{ radians} \approx 0.01745 \text{ radians}

Subdivisions:
1 degree = 60 arcminutes (′)
1 arcminute = 60 arcseconds (″)
Usage:

Degrees are widely used in geometry, navigation, geography (latitude and longitude), and various fields involving angular measurement.
Summary:

The degree is a standard unit to measure angles, dividing a circle into 360 equal parts.

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).