Radians To Quadrants Conversion


1 rad = 0.636619772365513 quadrant

Want to convert from quadrants to radians instead?

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How to convert radians to quadrants (rad to quadrant)

The formula for converting radians to quadrants is: quadrant = rad × 0.636619772365513. To calculate the radian value in quadrants first substitute the radian value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 radian in quadrants we follow these steps:

quadrant = rad × 0.636619772365513

quadrant = 1 × 0.636619772365513

quadrant = 0.636619772365513

In other words, 1 radian is equal to 0.636619772365513 quadrants.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 2 radians to quadrants is:

  1. Understand the conversion formula: quadrant = rad × 0.636619772365513
  2. Substitute the required value. In this case we substitute 2 for rad so the formula becomes: quadrant = 2 × 0.636619772365513
  3. Calculate the result using the provided values. In our example the result is: 2 × 0.636619772365513 = 1.273239544731026 quadrant

In summary, 2 radians is equal to 1.273239544731026 quadrants.

Converting quadrants to radians

In order to convert the other way around i.e. quadrants to radians, you would use the following formula: rad = quadrant × 1.5707963268. To convert quadrants to radians first substitute the quadrant value into the above formula, and then execute the calculation. If we wanted to calculate 1 quadrant in radians we follow these steps:

rad = quadrant × 1.5707963268

rad = 1 × 1.5707963268

rad = 1.5707963268

Or in other words, 1 quadrant is equal to 1.5707963268 radians.

Conversion Unit Definitions

What is a Radian?

A radian is a unit of angular measure that is used to quantify the size of an angle, particularly in trigonometry and calculus. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
To better understand this definition, it's important to note that a circle has a circumference of 2π times the radius, where π is the mathematical constant pi (approximately 3.14159). Therefore, an angle of one radian is subtended by an arc that is equal in length to the radius of the circle, which is one unit in length.
When measuring angles using radians, angles are usually denoted using the radian symbol (rad), which is often omitted for simplicity. For example, an angle of 2 radians would be written as 2 rad.

What is a Quadrant?

A quadrant is an angular measure that is equal to one quarter of a circle or 90 degrees. The term "quadrant" comes from the Latin word "quadrans" which means "a quarter."
To better understand this definition, it's important to note that a circle is divided into 360 degrees. Each quadrant is a portion of the circle that spans 90 degrees or one quarter of the circle. When measuring angles using quadrants, angles are usually denoted using the quadrant symbol (Q), which is placed after the numerical value of the angle. For example, an angle of 2 quadrants would be written as 2Q or 180°.
The quadrant is not as commonly used as other angular measures such as degrees, radians, or mils, but it is still used in some fields such as astronomy, where it is used to measure celestial coordinates. In addition, the term "quadrant" is also used to refer to a device used in navigation and astronomy to measure the altitude of celestial objects.

Radians To Quadrants Conversion Table

Below is a lookup table showing common radians to quadrants conversion values.

Radian (rad)Quadrant
1 rad0.636619772365513 quadrant
2 rad1.273239544731026 quadrant
3 rad1.909859317096539 quadrant
4 rad2.546479089462052 quadrant
5 rad3.183098861827565 quadrant
6 rad3.819718634193078 quadrant
7 rad4.456338406558591 quadrant
8 rad5.092958178924104 quadrant
9 rad5.729577951289617 quadrant
10 rad6.36619772365513 quadrant
11 rad7.002817496020643 quadrant
12 rad7.639437268386156 quadrant
13 rad8.276057040751669 quadrant

Other Common Radian Conversions

Below is a table of common conversions from radians to other angle units.

1 radian in degrees57.2957795785523 °
1 radian in revolutions0.1591549431 rev

Radians To Quadrants Conversion Chart