Radian to Quadrant Conversion

Convert between Radian and Quadrant quickly and accurately.

rad
quadrant

How to Convert Radian to Quadrant

Conversion Formula

1 rad = 0.637 quadrant
1 quadrant = 1.571 rad

Example

Convert 15 rad to quadrant:

15 rad = 15 × 0.637 quadrant = 9.549 quadrant

Unit Information

Learn about the angle units you're converting between

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

0

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

90

Offset

0

Radian to Quadrant Conversion Table

Radian [rad] Quadrant [quadrant]
1 rad 0.63662 quadrant
10 rad 6.366198 quadrant
25 rad 15.915494 quadrant
50 rad 31.830989 quadrant
100 rad 63.661977 quadrant
0 rad 0E+0 quadrant
-10 rad -6.366198 quadrant
-40 rad -25.464791 quadrant