Degrees to Radians Converter

Unlock angle conversions with ease! Enter degrees and watch them transform into radians instantly.

Enter Degrees (°)

Enter the angle in degrees you want to convert to radians.

Radians (rad)

Understanding Degrees to Radians

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

What are Degrees?

A degree is a unit of angular measure, representing 1/360th of a full circle. Think of cutting a pizza into 360 slices; each slice's angle at the center is approximately one degree.

What are Radians?

A radian, on the other hand, is based on the radius of a circle. 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. In a full circle, there are 2π (approximately 6.283) radians.

Why Convert?

While degrees are more commonly used in everyday contexts, radians are fundamental in many areas of mathematics, especially calculus and trigonometry, and physics. They simplify many formulas and are the standard unit in higher-level mathematics and scientific computations.

Formula for Conversion:

To convert degrees to radians, you multiply the angle in degrees by π / 180.

Radians = Degrees × (π / 180)

This tool helps you perform this conversion quickly and visualize the angle.