Quadrant to Radian Conversion

Convert between Quadrant and Radian quickly and accurately.

From Quadrant

quadrant

To Radian

rad

How to Convert Quadrant to Radian

Conversion Formula

1 quadrant = 1.571 rad

1 rad = 0.637 quadrant

Example

Convert 15 quadrant to rad:

15 quadrant = 15 × 1.571 rad = 23.562 rad

Unit Information

Learn about the angle units you're converting between

Quadrant

quadrant

Definition

Quadrant is a unit of angle measurement equal to 90 degrees or one-quarter of a full circle. It represents a right angle.

History/Origin

The quadrant was used in ancient astronomy and navigation instruments. It represents one-quarter of a circle.

Current Use

Quadrants are used in geometry, navigation, coordinate systems, and astronomical measurements.

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