Convert Degree to Radian

One ° equals 0.01745329252 rad. This converter allows you to easily convert between Degree and Radian in real time.

Formula

° × 0.01745329252 = rad

Example: 1 ° = 0.01745329252 rad

What is Degree?

The degree is the most commonly used unit of angle, with one full rotation divided into 360 degrees. This system is believed to originate from ancient Babylonian astronomy, where a year of roughly 360 days suggested dividing a circle into 360 parts. Degrees are used everywhere in daily life: compass bearings, slopes, architecture, and geometry. A right angle is 90 degrees, a straight angle is 180 degrees, and a full rotation is 360 degrees.

What is Radian?

The radian is the SI unit of angle, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian is approximately 57.296 degrees, and a full circle is 2 pi radians. Radians are the standard angular unit in mathematics, physics, and engineering because calculus formulas (such as the derivative of sine being cosine) require radian measure. Programming language math libraries also use radians by default.