Degree to Radian Conversion

Convert between Degree and Radian quickly and accurately.

From Degree

To Radian

rad

How to Convert Degree to Radian

Conversion Formula

1 ° = 0.017 rad

1 rad = 57.296 °

Example

Convert 15 ° to rad:

15 ° = 15 × 0.017 rad = 0.262 rad

Unit Information

Learn about the angle units you're converting between

Degree

Definition

Degree is a unit of measurement for angles, equal to 1/360 of a full rotation. It is the most commonly used unit for measuring angles in everyday applications, mathematics, and engineering.

History/Origin

The degree was first used by ancient Babylonian astronomers around 2000 BCE. They divided a circle into 360 parts, likely because 360 has many divisors and is close to the number of days in a year.

Current Use

Degrees are used in navigation, construction, astronomy, mathematics, engineering, surveying, and many other fields where angle measurement is required.

Multiplier

Offset

Radian

rad

Definition

Radian is the SI unit for measuring angles, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian equals approximately 57.2958 degrees.

History/Origin

The radian was introduced by James Thomson in 1873. It became the standard unit for angular measurement in the International System of Units (SI) due to its mathematical elegance.

Current Use

Radians are used in mathematics, physics, engineering, computer graphics, and scientific calculations where precise angular measurements are required.

Multiplier

57.296

Offset