Quadrant to Radian Converter
Convert Quadrant (quad) to Radian (rad) instantly. 1 quad = 1.570796 rad.
Angle Converter
14 units available
1 quad = 1.570796 rad
Formula:
rad = quad × 1.5707963268With your value: 1 quad = 1.57079633 rad
Other Quadrant to Radian conversions
Quadrant to Radian Conversion Table
| Quadrant (quad) | Radian (rad) |
|---|---|
| 0.5 | 0.785398 |
| 1 | 1.570796 |
| 2 | 3.141593 |
| 5 | 7.853982 |
| 10 | 15.707963 |
| 15 | 23.561945 |
| 20 | 31.415927 |
| 25 | 39.269908 |
| 50 | 78.539816 |
| 100 | 157.079633 |
| 250 | 392.699082 |
| 500 | 785.398163 |
| 1000 | 1,570.796327 |
Radian to Quadrant Conversion Table
| Radian (rad) | Quadrant (quad) |
|---|---|
| 0.5 | 0.31831 |
| 1 | 0.63662 |
| 2 | 1.27324 |
| 5 | 3.183099 |
| 10 | 6.366198 |
| 15 | 9.549297 |
| 20 | 12.732395 |
| 25 | 15.915494 |
| 50 | 31.830989 |
| 100 | 63.661977 |
| 250 | 159.154943 |
| 500 | 318.309886 |
| 1000 | 636.619772 |
Where these values come from
Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.
Quadrant (quad)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Radian (rad)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
How to Convert Quadrant to Radian
To convert from Quadrant (quad) to Radian (rad), multiply the value by 1.5707963268.
Formula: rad = quad × 1.5707963268
Reverse: quad = rad × 0.6366197724
Step-by-Step Example
- Start with your value in Quadrant. For example: 5 quad
- Multiply by the conversion factor: 5 x 1.5707963268
- The result is: 7.853982 rad
About Quadrant
The quadrant (quad) is a unit of plane angle. One quadrant equals 90 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
Common uses: angle calculations, engineering and science, education.
About Radian
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
Fun Fact: A full circle contains exactly 2π radians.
Common uses: mathematics, physics, engineering.
Frequently Asked Questions
How many Radian are in 1 Quadrant?
There are exactly 1.5707963268 Radian in 1 Quadrant. This means the conversion factor from Quadrant to Radian is 1.5707963268.
What is the formula to convert Quadrant to Radian?
The formula to convert Quadrant to Radian is: rad = quad × 1.5707963268. For example, to convert 10 Quadrant to Radian, you would multiply 10 by 1.5707963268.
What is a Quadrant?
The quadrant (quad) is a unit of plane angle. One quadrant equals 90 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
What is a Radian?
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
What are the common uses of Quadrant?
The Quadrant is commonly used in angle calculations, engineering and science, education.
Related Angle Conversions
Cite this page
UnitConvertLab. (2026). Quadrant to Radian converter. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/quadrant-to-radian