Degree to Radian Converter

Quickly convert angles from degrees to radians. Enter the angle in degrees below to convert it into radians.

Enter Angle in Degrees (°)

Conversion Result:

Understanding Degrees and Radians

Degrees and radians are units used to measure angles. Just as we use inches or centimeters to measure length, we use degrees and radians for angles.

Degrees (°):

A degree is a unit of angle measurement, where a full circle is divided into 360 degrees. Think of it as slicing a pie into 360 pieces; each piece's angle at the center is one degree.

Radians (rad):

A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. One full circle is equal to 2π radians. Radians are particularly important in advanced mathematics and physics because they simplify many formulas, especially in calculus and trigonometry.

Conversion Formula:

To convert degrees to radians, you can use the following formula:

$$ Radians = Degrees × rac{\pi}{180} $$

Example:

Let's convert 180 degrees to radians:

$$ Radians = 180° × rac{\pi}{180} = \pi \approx 3.14159 $$

Thus, 180 degrees is equal to approximately π radians, or about 3.14159 radians. This converter helps you perform these calculations quickly and accurately for any given angle in degrees.

Use this tool for easy and precise conversions between degrees and radians, essential for various mathematical and scientific applications.